27.Tree.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "library(ISLR)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "Data<-ISLR::College"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>Private</th><th scope=col>Apps</th><th scope=col>Accept</th><th scope=col>Enroll</th><th scope=col>Top10perc</th><th scope=col>Top25perc</th><th scope=col>F.Undergrad</th><th scope=col>P.Undergrad</th><th scope=col>Outstate</th><th scope=col>Room.Board</th><th scope=col>Books</th><th scope=col>Personal</th><th scope=col>PhD</th><th scope=col>Terminal</th><th scope=col>S.F.Ratio</th><th scope=col>perc.alumni</th><th scope=col>Expend</th><th scope=col>Grad.Rate</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Abilene Christian University</th><td>Yes  </td><td>1660 </td><td>1232 </td><td>721  </td><td>23   </td><td>52   </td><td>2885 </td><td> 537 </td><td> 7440</td><td>3300 </td><td>450  </td><td>2200 </td><td>70   </td><td>78   </td><td>18.1 </td><td>12   </td><td> 7041</td><td>60   </td></tr>\n",
       "\t<tr><th scope=row>Adelphi University</th><td>Yes  </td><td>2186 </td><td>1924 </td><td>512  </td><td>16   </td><td>29   </td><td>2683 </td><td>1227 </td><td>12280</td><td>6450 </td><td>750  </td><td>1500 </td><td>29   </td><td>30   </td><td>12.2 </td><td>16   </td><td>10527</td><td>56   </td></tr>\n",
       "\t<tr><th scope=row>Adrian College</th><td>Yes  </td><td>1428 </td><td>1097 </td><td>336  </td><td>22   </td><td>50   </td><td>1036 </td><td>  99 </td><td>11250</td><td>3750 </td><td>400  </td><td>1165 </td><td>53   </td><td>66   </td><td>12.9 </td><td>30   </td><td> 8735</td><td>54   </td></tr>\n",
       "\t<tr><th scope=row>Agnes Scott College</th><td>Yes  </td><td> 417 </td><td> 349 </td><td>137  </td><td>60   </td><td>89   </td><td> 510 </td><td>  63 </td><td>12960</td><td>5450 </td><td>450  </td><td> 875 </td><td>92   </td><td>97   </td><td> 7.7 </td><td>37   </td><td>19016</td><td>59   </td></tr>\n",
       "\t<tr><th scope=row>Alaska Pacific University</th><td>Yes  </td><td> 193 </td><td> 146 </td><td> 55  </td><td>16   </td><td>44   </td><td> 249 </td><td> 869 </td><td> 7560</td><td>4120 </td><td>800  </td><td>1500 </td><td>76   </td><td>72   </td><td>11.9 </td><td> 2   </td><td>10922</td><td>15   </td></tr>\n",
       "\t<tr><th scope=row>Albertson College</th><td>Yes  </td><td> 587 </td><td> 479 </td><td>158  </td><td>38   </td><td>62   </td><td> 678 </td><td>  41 </td><td>13500</td><td>3335 </td><td>500  </td><td> 675 </td><td>67   </td><td>73   </td><td> 9.4 </td><td>11   </td><td> 9727</td><td>55   </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllllllllll}\n",
       "  & Private & Apps & Accept & Enroll & Top10perc & Top25perc & F.Undergrad & P.Undergrad & Outstate & Room.Board & Books & Personal & PhD & Terminal & S.F.Ratio & perc.alumni & Expend & Grad.Rate\\\\\n",
       "\\hline\n",
       "\tAbilene Christian University & Yes   & 1660  & 1232  & 721   & 23    & 52    & 2885  &  537  &  7440 & 3300  & 450   & 2200  & 70    & 78    & 18.1  & 12    &  7041 & 60   \\\\\n",
       "\tAdelphi University & Yes   & 2186  & 1924  & 512   & 16    & 29    & 2683  & 1227  & 12280 & 6450  & 750   & 1500  & 29    & 30    & 12.2  & 16    & 10527 & 56   \\\\\n",
       "\tAdrian College & Yes   & 1428  & 1097  & 336   & 22    & 50    & 1036  &   99  & 11250 & 3750  & 400   & 1165  & 53    & 66    & 12.9  & 30    &  8735 & 54   \\\\\n",
       "\tAgnes Scott College & Yes   &  417  &  349  & 137   & 60    & 89    &  510  &   63  & 12960 & 5450  & 450   &  875  & 92    & 97    &  7.7  & 37    & 19016 & 59   \\\\\n",
       "\tAlaska Pacific University & Yes   &  193  &  146  &  55   & 16    & 44    &  249  &  869  &  7560 & 4120  & 800   & 1500  & 76    & 72    & 11.9  &  2    & 10922 & 15   \\\\\n",
       "\tAlbertson College & Yes   &  587  &  479  & 158   & 38    & 62    &  678  &   41  & 13500 & 3335  & 500   &  675  & 67    & 73    &  9.4  & 11    &  9727 & 55   \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | Private | Apps | Accept | Enroll | Top10perc | Top25perc | F.Undergrad | P.Undergrad | Outstate | Room.Board | Books | Personal | PhD | Terminal | S.F.Ratio | perc.alumni | Expend | Grad.Rate |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| Abilene Christian University | Yes   | 1660  | 1232  | 721   | 23    | 52    | 2885  |  537  |  7440 | 3300  | 450   | 2200  | 70    | 78    | 18.1  | 12    |  7041 | 60    |\n",
       "| Adelphi University | Yes   | 2186  | 1924  | 512   | 16    | 29    | 2683  | 1227  | 12280 | 6450  | 750   | 1500  | 29    | 30    | 12.2  | 16    | 10527 | 56    |\n",
       "| Adrian College | Yes   | 1428  | 1097  | 336   | 22    | 50    | 1036  |   99  | 11250 | 3750  | 400   | 1165  | 53    | 66    | 12.9  | 30    |  8735 | 54    |\n",
       "| Agnes Scott College | Yes   |  417  |  349  | 137   | 60    | 89    |  510  |   63  | 12960 | 5450  | 450   |  875  | 92    | 97    |  7.7  | 37    | 19016 | 59    |\n",
       "| Alaska Pacific University | Yes   |  193  |  146  |  55   | 16    | 44    |  249  |  869  |  7560 | 4120  | 800   | 1500  | 76    | 72    | 11.9  |  2    | 10922 | 15    |\n",
       "| Albertson College | Yes   |  587  |  479  | 158   | 38    | 62    |  678  |   41  | 13500 | 3335  | 500   |  675  | 67    | 73    |  9.4  | 11    |  9727 | 55    |\n",
       "\n"
      ],
      "text/plain": [
       "                             Private Apps Accept Enroll Top10perc Top25perc\n",
       "Abilene Christian University Yes     1660 1232   721    23        52       \n",
       "Adelphi University           Yes     2186 1924   512    16        29       \n",
       "Adrian College               Yes     1428 1097   336    22        50       \n",
       "Agnes Scott College          Yes      417  349   137    60        89       \n",
       "Alaska Pacific University    Yes      193  146    55    16        44       \n",
       "Albertson College            Yes      587  479   158    38        62       \n",
       "                             F.Undergrad P.Undergrad Outstate Room.Board Books\n",
       "Abilene Christian University 2885         537         7440    3300       450  \n",
       "Adelphi University           2683        1227        12280    6450       750  \n",
       "Adrian College               1036          99        11250    3750       400  \n",
       "Agnes Scott College           510          63        12960    5450       450  \n",
       "Alaska Pacific University     249         869         7560    4120       800  \n",
       "Albertson College             678          41        13500    3335       500  \n",
       "                             Personal PhD Terminal S.F.Ratio perc.alumni Expend\n",
       "Abilene Christian University 2200     70  78       18.1      12           7041 \n",
       "Adelphi University           1500     29  30       12.2      16          10527 \n",
       "Adrian College               1165     53  66       12.9      30           8735 \n",
       "Agnes Scott College           875     92  97        7.7      37          19016 \n",
       "Alaska Pacific University    1500     76  72       11.9       2          10922 \n",
       "Albertson College             675     67  73        9.4      11           9727 \n",
       "                             Grad.Rate\n",
       "Abilene Christian University 60       \n",
       "Adelphi University           56       \n",
       "Adrian College               54       \n",
       "Agnes Scott College          59       \n",
       "Alaska Pacific University    15       \n",
       "Albertson College            55       "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(Data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>Private</th><th scope=col>Apps</th><th scope=col>Accept</th><th scope=col>Enroll</th><th scope=col>Top10perc</th><th scope=col>Top25perc</th><th scope=col>F.Undergrad</th><th scope=col>P.Undergrad</th><th scope=col>Outstate</th><th scope=col>Room.Board</th><th scope=col>Books</th><th scope=col>Personal</th><th scope=col>PhD</th><th scope=col>Terminal</th><th scope=col>S.F.Ratio</th><th scope=col>perc.alumni</th><th scope=col>Expend</th><th scope=col>Grad.Rate</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Worcester Polytechnic Institute</th><td>Yes  </td><td> 2768</td><td>2314 </td><td> 682 </td><td>49   </td><td>86   </td><td>2802 </td><td>  86 </td><td>15884</td><td>5370 </td><td>530  </td><td> 730 </td><td>92   </td><td>94   </td><td>15.2 </td><td>34   </td><td>10774</td><td>82   </td></tr>\n",
       "\t<tr><th scope=row>Worcester State College</th><td>No   </td><td> 2197</td><td>1515 </td><td> 543 </td><td> 4   </td><td>26   </td><td>3089 </td><td>2029 </td><td> 6797</td><td>3900 </td><td>500  </td><td>1200 </td><td>60   </td><td>60   </td><td>21.0 </td><td>14   </td><td> 4469</td><td>40   </td></tr>\n",
       "\t<tr><th scope=row>Xavier University</th><td>Yes  </td><td> 1959</td><td>1805 </td><td> 695 </td><td>24   </td><td>47   </td><td>2849 </td><td>1107 </td><td>11520</td><td>4960 </td><td>600  </td><td>1250 </td><td>73   </td><td>75   </td><td>13.3 </td><td>31   </td><td> 9189</td><td>83   </td></tr>\n",
       "\t<tr><th scope=row>Xavier University of Louisiana</th><td>Yes  </td><td> 2097</td><td>1915 </td><td> 695 </td><td>34   </td><td>61   </td><td>2793 </td><td> 166 </td><td> 6900</td><td>4200 </td><td>617  </td><td> 781 </td><td>67   </td><td>75   </td><td>14.4 </td><td>20   </td><td> 8323</td><td>49   </td></tr>\n",
       "\t<tr><th scope=row>Yale University</th><td>Yes  </td><td>10705</td><td>2453 </td><td>1317 </td><td>95   </td><td>99   </td><td>5217 </td><td>  83 </td><td>19840</td><td>6510 </td><td>630  </td><td>2115 </td><td>96   </td><td>96   </td><td> 5.8 </td><td>49   </td><td>40386</td><td>99   </td></tr>\n",
       "\t<tr><th scope=row>York College of Pennsylvania</th><td>Yes  </td><td> 2989</td><td>1855 </td><td> 691 </td><td>28   </td><td>63   </td><td>2988 </td><td>1726 </td><td> 4990</td><td>3560 </td><td>500  </td><td>1250 </td><td>75   </td><td>75   </td><td>18.1 </td><td>28   </td><td> 4509</td><td>99   </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllllllllll}\n",
       "  & Private & Apps & Accept & Enroll & Top10perc & Top25perc & F.Undergrad & P.Undergrad & Outstate & Room.Board & Books & Personal & PhD & Terminal & S.F.Ratio & perc.alumni & Expend & Grad.Rate\\\\\n",
       "\\hline\n",
       "\tWorcester Polytechnic Institute & Yes   &  2768 & 2314  &  682  & 49    & 86    & 2802  &   86  & 15884 & 5370  & 530   &  730  & 92    & 94    & 15.2  & 34    & 10774 & 82   \\\\\n",
       "\tWorcester State College & No    &  2197 & 1515  &  543  &  4    & 26    & 3089  & 2029  &  6797 & 3900  & 500   & 1200  & 60    & 60    & 21.0  & 14    &  4469 & 40   \\\\\n",
       "\tXavier University & Yes   &  1959 & 1805  &  695  & 24    & 47    & 2849  & 1107  & 11520 & 4960  & 600   & 1250  & 73    & 75    & 13.3  & 31    &  9189 & 83   \\\\\n",
       "\tXavier University of Louisiana & Yes   &  2097 & 1915  &  695  & 34    & 61    & 2793  &  166  &  6900 & 4200  & 617   &  781  & 67    & 75    & 14.4  & 20    &  8323 & 49   \\\\\n",
       "\tYale University & Yes   & 10705 & 2453  & 1317  & 95    & 99    & 5217  &   83  & 19840 & 6510  & 630   & 2115  & 96    & 96    &  5.8  & 49    & 40386 & 99   \\\\\n",
       "\tYork College of Pennsylvania & Yes   &  2989 & 1855  &  691  & 28    & 63    & 2988  & 1726  &  4990 & 3560  & 500   & 1250  & 75    & 75    & 18.1  & 28    &  4509 & 99   \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | Private | Apps | Accept | Enroll | Top10perc | Top25perc | F.Undergrad | P.Undergrad | Outstate | Room.Board | Books | Personal | PhD | Terminal | S.F.Ratio | perc.alumni | Expend | Grad.Rate |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| Worcester Polytechnic Institute | Yes   |  2768 | 2314  |  682  | 49    | 86    | 2802  |   86  | 15884 | 5370  | 530   |  730  | 92    | 94    | 15.2  | 34    | 10774 | 82    |\n",
       "| Worcester State College | No    |  2197 | 1515  |  543  |  4    | 26    | 3089  | 2029  |  6797 | 3900  | 500   | 1200  | 60    | 60    | 21.0  | 14    |  4469 | 40    |\n",
       "| Xavier University | Yes   |  1959 | 1805  |  695  | 24    | 47    | 2849  | 1107  | 11520 | 4960  | 600   | 1250  | 73    | 75    | 13.3  | 31    |  9189 | 83    |\n",
       "| Xavier University of Louisiana | Yes   |  2097 | 1915  |  695  | 34    | 61    | 2793  |  166  |  6900 | 4200  | 617   |  781  | 67    | 75    | 14.4  | 20    |  8323 | 49    |\n",
       "| Yale University | Yes   | 10705 | 2453  | 1317  | 95    | 99    | 5217  |   83  | 19840 | 6510  | 630   | 2115  | 96    | 96    |  5.8  | 49    | 40386 | 99    |\n",
       "| York College of Pennsylvania | Yes   |  2989 | 1855  |  691  | 28    | 63    | 2988  | 1726  |  4990 | 3560  | 500   | 1250  | 75    | 75    | 18.1  | 28    |  4509 | 99    |\n",
       "\n"
      ],
      "text/plain": [
       "                                Private Apps  Accept Enroll Top10perc Top25perc\n",
       "Worcester Polytechnic Institute Yes      2768 2314    682   49        86       \n",
       "Worcester State College         No       2197 1515    543    4        26       \n",
       "Xavier University               Yes      1959 1805    695   24        47       \n",
       "Xavier University of Louisiana  Yes      2097 1915    695   34        61       \n",
       "Yale University                 Yes     10705 2453   1317   95        99       \n",
       "York College of Pennsylvania    Yes      2989 1855    691   28        63       \n",
       "                                F.Undergrad P.Undergrad Outstate Room.Board\n",
       "Worcester Polytechnic Institute 2802          86        15884    5370      \n",
       "Worcester State College         3089        2029         6797    3900      \n",
       "Xavier University               2849        1107        11520    4960      \n",
       "Xavier University of Louisiana  2793         166         6900    4200      \n",
       "Yale University                 5217          83        19840    6510      \n",
       "York College of Pennsylvania    2988        1726         4990    3560      \n",
       "                                Books Personal PhD Terminal S.F.Ratio\n",
       "Worcester Polytechnic Institute 530    730     92  94       15.2     \n",
       "Worcester State College         500   1200     60  60       21.0     \n",
       "Xavier University               600   1250     73  75       13.3     \n",
       "Xavier University of Louisiana  617    781     67  75       14.4     \n",
       "Yale University                 630   2115     96  96        5.8     \n",
       "York College of Pennsylvania    500   1250     75  75       18.1     \n",
       "                                perc.alumni Expend Grad.Rate\n",
       "Worcester Polytechnic Institute 34          10774  82       \n",
       "Worcester State College         14           4469  40       \n",
       "Xavier University               31           9189  83       \n",
       "Xavier University of Louisiana  20           8323  49       \n",
       "Yale University                 49          40386  99       \n",
       "York College of Pennsylvania    28           4509  99       "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tail(Data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       " Private        Apps           Accept          Enroll       Top10perc    \n",
       " No :212   Min.   :   81   Min.   :   72   Min.   :  35   Min.   : 1.00  \n",
       " Yes:565   1st Qu.:  776   1st Qu.:  604   1st Qu.: 242   1st Qu.:15.00  \n",
       "           Median : 1558   Median : 1110   Median : 434   Median :23.00  \n",
       "           Mean   : 3002   Mean   : 2019   Mean   : 780   Mean   :27.56  \n",
       "           3rd Qu.: 3624   3rd Qu.: 2424   3rd Qu.: 902   3rd Qu.:35.00  \n",
       "           Max.   :48094   Max.   :26330   Max.   :6392   Max.   :96.00  \n",
       "   Top25perc      F.Undergrad     P.Undergrad         Outstate    \n",
       " Min.   :  9.0   Min.   :  139   Min.   :    1.0   Min.   : 2340  \n",
       " 1st Qu.: 41.0   1st Qu.:  992   1st Qu.:   95.0   1st Qu.: 7320  \n",
       " Median : 54.0   Median : 1707   Median :  353.0   Median : 9990  \n",
       " Mean   : 55.8   Mean   : 3700   Mean   :  855.3   Mean   :10441  \n",
       " 3rd Qu.: 69.0   3rd Qu.: 4005   3rd Qu.:  967.0   3rd Qu.:12925  \n",
       " Max.   :100.0   Max.   :31643   Max.   :21836.0   Max.   :21700  \n",
       "   Room.Board       Books           Personal         PhD        \n",
       " Min.   :1780   Min.   :  96.0   Min.   : 250   Min.   :  8.00  \n",
       " 1st Qu.:3597   1st Qu.: 470.0   1st Qu.: 850   1st Qu.: 62.00  \n",
       " Median :4200   Median : 500.0   Median :1200   Median : 75.00  \n",
       " Mean   :4358   Mean   : 549.4   Mean   :1341   Mean   : 72.66  \n",
       " 3rd Qu.:5050   3rd Qu.: 600.0   3rd Qu.:1700   3rd Qu.: 85.00  \n",
       " Max.   :8124   Max.   :2340.0   Max.   :6800   Max.   :103.00  \n",
       "    Terminal       S.F.Ratio      perc.alumni        Expend     \n",
       " Min.   : 24.0   Min.   : 2.50   Min.   : 0.00   Min.   : 3186  \n",
       " 1st Qu.: 71.0   1st Qu.:11.50   1st Qu.:13.00   1st Qu.: 6751  \n",
       " Median : 82.0   Median :13.60   Median :21.00   Median : 8377  \n",
       " Mean   : 79.7   Mean   :14.09   Mean   :22.74   Mean   : 9660  \n",
       " 3rd Qu.: 92.0   3rd Qu.:16.50   3rd Qu.:31.00   3rd Qu.:10830  \n",
       " Max.   :100.0   Max.   :39.80   Max.   :64.00   Max.   :56233  \n",
       "   Grad.Rate     \n",
       " Min.   : 10.00  \n",
       " 1st Qu.: 53.00  \n",
       " Median : 65.00  \n",
       " Mean   : 65.46  \n",
       " 3rd Qu.: 78.00  \n",
       " Max.   :118.00  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary(Data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CGkQMABIaRAwAEhpEDAASGkQMABIaRAwAEhpEDAASGkQMABIaRAwAEhpEDAASGk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\nQMAB/weZivBk6V3OPwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pairs(Data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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IE4SLP7TQPILcAihRyVqw9B+APBVHgkwcy02ZVtL4mHqb4g/Xute4/XOd7p/fe9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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df<-College\n",
    "\n",
    "#Exploring the data\n",
    "\n",
    "library(ggplot2)\n",
    "ggplot(df,aes(Room.Board,Grad.Rate)) + geom_point(aes(color=Private))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>777</li>\n",
       "\t<li>18</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 777\n",
       "\\item 18\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 777\n",
       "2. 18\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 777  18"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dim(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ERIkXZLHQKEREiRdksdAqkhjT0XahKS6YmX/FrTmRe2Fr7U29otdQikhjQWTJOQ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\nEBKAgf8HQlRlbvkgYhUAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Create a histogram of full time undergrad students, color by Private.\n",
    "\n",
    "ggplot(df,aes(F.Undergrad)) + geom_histogram(aes(fill=Private),color='black',bins=50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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UhKCCLJIKUiXT6/Piyd7l8/Pg/fLl/7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\nAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create a histogram of Grad.Rate colored by Private. We see something odd here.\n",
    "\n",
    "ggplot(df,aes(Grad.Rate)) + geom_histogram(aes(fill=Private),color='black',bins=50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>Private</th><th scope=col>Apps</th><th scope=col>Accept</th><th scope=col>Enroll</th><th scope=col>Top10perc</th><th scope=col>Top25perc</th><th scope=col>F.Undergrad</th><th scope=col>P.Undergrad</th><th scope=col>Outstate</th><th scope=col>Room.Board</th><th scope=col>Books</th><th scope=col>Personal</th><th scope=col>PhD</th><th scope=col>Terminal</th><th scope=col>S.F.Ratio</th><th scope=col>perc.alumni</th><th scope=col>Expend</th><th scope=col>Grad.Rate</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Cazenovia College</th><td>Yes </td><td>3847</td><td>3433</td><td>527 </td><td>9   </td><td>35  </td><td>1010</td><td>12  </td><td>9384</td><td>4840</td><td>600 </td><td>500 </td><td>22  </td><td>47  </td><td>14.3</td><td>20  </td><td>7697</td><td>118 </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllllllllll}\n",
       "  & Private & Apps & Accept & Enroll & Top10perc & Top25perc & F.Undergrad & P.Undergrad & Outstate & Room.Board & Books & Personal & PhD & Terminal & S.F.Ratio & perc.alumni & Expend & Grad.Rate\\\\\n",
       "\\hline\n",
       "\tCazenovia College & Yes  & 3847 & 3433 & 527  & 9    & 35   & 1010 & 12   & 9384 & 4840 & 600  & 500  & 22   & 47   & 14.3 & 20   & 7697 & 118 \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | Private | Apps | Accept | Enroll | Top10perc | Top25perc | F.Undergrad | P.Undergrad | Outstate | Room.Board | Books | Personal | PhD | Terminal | S.F.Ratio | perc.alumni | Expend | Grad.Rate |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| Cazenovia College | Yes  | 3847 | 3433 | 527  | 9    | 35   | 1010 | 12   | 9384 | 4840 | 600  | 500  | 22   | 47   | 14.3 | 20   | 7697 | 118  |\n",
       "\n"
      ],
      "text/plain": [
       "                  Private Apps Accept Enroll Top10perc Top25perc F.Undergrad\n",
       "Cazenovia College Yes     3847 3433   527    9         35        1010       \n",
       "                  P.Undergrad Outstate Room.Board Books Personal PhD Terminal\n",
       "Cazenovia College 12          9384     4840       600   500      22  47      \n",
       "                  S.F.Ratio perc.alumni Expend Grad.Rate\n",
       "Cazenovia College 14.3      20          7697   118      "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#A college had grad rate above 100, we fix that\n",
    "subset(df,Grad.Rate > 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['Cazenovia College','Grad.Rate'] <- 100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "package 'caTools' successfully unpacked and MD5 sums checked\n",
      "\n",
      "The downloaded binary packages are in\n",
      "\tC:\\Users\\reddy\\AppData\\Local\\Temp\\RtmpIBaTVf\\downloaded_packages\n"
     ]
    }
   ],
   "source": [
    "install.packages('caTools')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "library('caTools')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>TRUE</li>\n",
       "\t<li>TRUE</li>\n",
       "\t<li>TRUE</li>\n",
       "\t<li>TRUE</li>\n",
       "\t<li>TRUE</li>\n",
       "\t<li>TRUE</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item TRUE\n",
       "\\item TRUE\n",
       "\\item TRUE\n",
       "\\item TRUE\n",
       "\\item TRUE\n",
       "\\item TRUE\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. TRUE\n",
       "2. TRUE\n",
       "3. TRUE\n",
       "4. TRUE\n",
       "5. TRUE\n",
       "6. TRUE\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] TRUE TRUE TRUE TRUE TRUE TRUE"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "set.seed(101) \n",
    "\n",
    "sample = sample.split(df$Private, SplitRatio = .80)\n",
    "head(sample)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>Private</th><th scope=col>Apps</th><th scope=col>Accept</th><th scope=col>Enroll</th><th scope=col>Top10perc</th><th scope=col>Top25perc</th><th scope=col>F.Undergrad</th><th scope=col>P.Undergrad</th><th scope=col>Outstate</th><th scope=col>Room.Board</th><th scope=col>Books</th><th scope=col>Personal</th><th scope=col>PhD</th><th scope=col>Terminal</th><th scope=col>S.F.Ratio</th><th scope=col>perc.alumni</th><th scope=col>Expend</th><th scope=col>Grad.Rate</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Abilene Christian University</th><td>Yes  </td><td>1660 </td><td>1232 </td><td>721  </td><td>23   </td><td>52   </td><td>2885 </td><td> 537 </td><td> 7440</td><td>3300 </td><td>450  </td><td>2200 </td><td>70   </td><td>78   </td><td>18.1 </td><td>12   </td><td> 7041</td><td>60   </td></tr>\n",
       "\t<tr><th scope=row>Adelphi University</th><td>Yes  </td><td>2186 </td><td>1924 </td><td>512  </td><td>16   </td><td>29   </td><td>2683 </td><td>1227 </td><td>12280</td><td>6450 </td><td>750  </td><td>1500 </td><td>29   </td><td>30   </td><td>12.2 </td><td>16   </td><td>10527</td><td>56   </td></tr>\n",
       "\t<tr><th scope=row>Adrian College</th><td>Yes  </td><td>1428 </td><td>1097 </td><td>336  </td><td>22   </td><td>50   </td><td>1036 </td><td>  99 </td><td>11250</td><td>3750 </td><td>400  </td><td>1165 </td><td>53   </td><td>66   </td><td>12.9 </td><td>30   </td><td> 8735</td><td>54   </td></tr>\n",
       "\t<tr><th scope=row>Agnes Scott College</th><td>Yes  </td><td> 417 </td><td> 349 </td><td>137  </td><td>60   </td><td>89   </td><td> 510 </td><td>  63 </td><td>12960</td><td>5450 </td><td>450  </td><td> 875 </td><td>92   </td><td>97   </td><td> 7.7 </td><td>37   </td><td>19016</td><td>59   </td></tr>\n",
       "\t<tr><th scope=row>Alaska Pacific University</th><td>Yes  </td><td> 193 </td><td> 146 </td><td> 55  </td><td>16   </td><td>44   </td><td> 249 </td><td> 869 </td><td> 7560</td><td>4120 </td><td>800  </td><td>1500 </td><td>76   </td><td>72   </td><td>11.9 </td><td> 2   </td><td>10922</td><td>15   </td></tr>\n",
       "\t<tr><th scope=row>Albertson College</th><td>Yes  </td><td> 587 </td><td> 479 </td><td>158  </td><td>38   </td><td>62   </td><td> 678 </td><td>  41 </td><td>13500</td><td>3335 </td><td>500  </td><td> 675 </td><td>67   </td><td>73   </td><td> 9.4 </td><td>11   </td><td> 9727</td><td>55   </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllllllllll}\n",
       "  & Private & Apps & Accept & Enroll & Top10perc & Top25perc & F.Undergrad & P.Undergrad & Outstate & Room.Board & Books & Personal & PhD & Terminal & S.F.Ratio & perc.alumni & Expend & Grad.Rate\\\\\n",
       "\\hline\n",
       "\tAbilene Christian University & Yes   & 1660  & 1232  & 721   & 23    & 52    & 2885  &  537  &  7440 & 3300  & 450   & 2200  & 70    & 78    & 18.1  & 12    &  7041 & 60   \\\\\n",
       "\tAdelphi University & Yes   & 2186  & 1924  & 512   & 16    & 29    & 2683  & 1227  & 12280 & 6450  & 750   & 1500  & 29    & 30    & 12.2  & 16    & 10527 & 56   \\\\\n",
       "\tAdrian College & Yes   & 1428  & 1097  & 336   & 22    & 50    & 1036  &   99  & 11250 & 3750  & 400   & 1165  & 53    & 66    & 12.9  & 30    &  8735 & 54   \\\\\n",
       "\tAgnes Scott College & Yes   &  417  &  349  & 137   & 60    & 89    &  510  &   63  & 12960 & 5450  & 450   &  875  & 92    & 97    &  7.7  & 37    & 19016 & 59   \\\\\n",
       "\tAlaska Pacific University & Yes   &  193  &  146  &  55   & 16    & 44    &  249  &  869  &  7560 & 4120  & 800   & 1500  & 76    & 72    & 11.9  &  2    & 10922 & 15   \\\\\n",
       "\tAlbertson College & Yes   &  587  &  479  & 158   & 38    & 62    &  678  &   41  & 13500 & 3335  & 500   &  675  & 67    & 73    &  9.4  & 11    &  9727 & 55   \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | Private | Apps | Accept | Enroll | Top10perc | Top25perc | F.Undergrad | P.Undergrad | Outstate | Room.Board | Books | Personal | PhD | Terminal | S.F.Ratio | perc.alumni | Expend | Grad.Rate |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| Abilene Christian University | Yes   | 1660  | 1232  | 721   | 23    | 52    | 2885  |  537  |  7440 | 3300  | 450   | 2200  | 70    | 78    | 18.1  | 12    |  7041 | 60    |\n",
       "| Adelphi University | Yes   | 2186  | 1924  | 512   | 16    | 29    | 2683  | 1227  | 12280 | 6450  | 750   | 1500  | 29    | 30    | 12.2  | 16    | 10527 | 56    |\n",
       "| Adrian College | Yes   | 1428  | 1097  | 336   | 22    | 50    | 1036  |   99  | 11250 | 3750  | 400   | 1165  | 53    | 66    | 12.9  | 30    |  8735 | 54    |\n",
       "| Agnes Scott College | Yes   |  417  |  349  | 137   | 60    | 89    |  510  |   63  | 12960 | 5450  | 450   |  875  | 92    | 97    |  7.7  | 37    | 19016 | 59    |\n",
       "| Alaska Pacific University | Yes   |  193  |  146  |  55   | 16    | 44    |  249  |  869  |  7560 | 4120  | 800   | 1500  | 76    | 72    | 11.9  |  2    | 10922 | 15    |\n",
       "| Albertson College | Yes   |  587  |  479  | 158   | 38    | 62    |  678  |   41  | 13500 | 3335  | 500   |  675  | 67    | 73    |  9.4  | 11    |  9727 | 55    |\n",
       "\n"
      ],
      "text/plain": [
       "                             Private Apps Accept Enroll Top10perc Top25perc\n",
       "Abilene Christian University Yes     1660 1232   721    23        52       \n",
       "Adelphi University           Yes     2186 1924   512    16        29       \n",
       "Adrian College               Yes     1428 1097   336    22        50       \n",
       "Agnes Scott College          Yes      417  349   137    60        89       \n",
       "Alaska Pacific University    Yes      193  146    55    16        44       \n",
       "Albertson College            Yes      587  479   158    38        62       \n",
       "                             F.Undergrad P.Undergrad Outstate Room.Board Books\n",
       "Abilene Christian University 2885         537         7440    3300       450  \n",
       "Adelphi University           2683        1227        12280    6450       750  \n",
       "Adrian College               1036          99        11250    3750       400  \n",
       "Agnes Scott College           510          63        12960    5450       450  \n",
       "Alaska Pacific University     249         869         7560    4120       800  \n",
       "Albertson College             678          41        13500    3335       500  \n",
       "                             Personal PhD Terminal S.F.Ratio perc.alumni Expend\n",
       "Abilene Christian University 2200     70  78       18.1      12           7041 \n",
       "Adelphi University           1500     29  30       12.2      16          10527 \n",
       "Adrian College               1165     53  66       12.9      30           8735 \n",
       "Agnes Scott College           875     92  97        7.7      37          19016 \n",
       "Alaska Pacific University    1500     76  72       11.9       2          10922 \n",
       "Albertson College             675     67  73        9.4      11           9727 \n",
       "                             Grad.Rate\n",
       "Abilene Christian University 60       \n",
       "Adelphi University           56       \n",
       "Adrian College               54       \n",
       "Agnes Scott College          59       \n",
       "Alaska Pacific University    15       \n",
       "Albertson College            55       "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "train = subset(df, sample == TRUE)\n",
    "head(train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>Private</th><th scope=col>Apps</th><th scope=col>Accept</th><th scope=col>Enroll</th><th scope=col>Top10perc</th><th scope=col>Top25perc</th><th scope=col>F.Undergrad</th><th scope=col>P.Undergrad</th><th scope=col>Outstate</th><th scope=col>Room.Board</th><th scope=col>Books</th><th scope=col>Personal</th><th scope=col>PhD</th><th scope=col>Terminal</th><th scope=col>S.F.Ratio</th><th scope=col>perc.alumni</th><th scope=col>Expend</th><th scope=col>Grad.Rate</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Alfred University</th><td>Yes  </td><td>1732 </td><td>1425 </td><td> 472 </td><td>37   </td><td>75   </td><td>1830 </td><td> 110 </td><td>16548</td><td>5406 </td><td>500  </td><td> 600 </td><td>82   </td><td>88   </td><td>11.3 </td><td>31   </td><td>10932</td><td> 73  </td></tr>\n",
       "\t<tr><th scope=row>Alma College</th><td>Yes  </td><td>1267 </td><td>1080 </td><td> 385 </td><td>44   </td><td>73   </td><td>1306 </td><td>  28 </td><td>12572</td><td>4552 </td><td>400  </td><td> 400 </td><td>79   </td><td>87   </td><td>15.3 </td><td>32   </td><td> 9305</td><td> 68  </td></tr>\n",
       "\t<tr><th scope=row>Amherst College</th><td>Yes  </td><td>4302 </td><td> 992 </td><td> 418 </td><td>83   </td><td>96   </td><td>1593 </td><td>   5 </td><td>19760</td><td>5300 </td><td>660  </td><td>1598 </td><td>93   </td><td>98   </td><td> 8.4 </td><td>63   </td><td>21424</td><td>100  </td></tr>\n",
       "\t<tr><th scope=row>Appalachian State University</th><td>No   </td><td>7313 </td><td>4664 </td><td>1910 </td><td>20   </td><td>63   </td><td>9940 </td><td>1035 </td><td> 6806</td><td>2540 </td><td> 96  </td><td>2000 </td><td>83   </td><td>96   </td><td>18.3 </td><td>14   </td><td> 5854</td><td> 70  </td></tr>\n",
       "\t<tr><th scope=row>Arkansas College (Lyon College)</th><td>Yes  </td><td> 708 </td><td> 334 </td><td> 166 </td><td>46   </td><td>74   </td><td> 530 </td><td> 182 </td><td> 8644</td><td>3922 </td><td>500  </td><td> 800 </td><td>79   </td><td>88   </td><td>12.6 </td><td>24   </td><td>14579</td><td> 54  </td></tr>\n",
       "\t<tr><th scope=row>Arkansas Tech University</th><td>No   </td><td>1734 </td><td>1729 </td><td> 951 </td><td>12   </td><td>52   </td><td>3602 </td><td> 939 </td><td> 3460</td><td>2650 </td><td>450  </td><td>1000 </td><td>57   </td><td>60   </td><td>19.6 </td><td> 5   </td><td> 4739</td><td> 48  </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllllllllll}\n",
       "  & Private & Apps & Accept & Enroll & Top10perc & Top25perc & F.Undergrad & P.Undergrad & Outstate & Room.Board & Books & Personal & PhD & Terminal & S.F.Ratio & perc.alumni & Expend & Grad.Rate\\\\\n",
       "\\hline\n",
       "\tAlfred University & Yes   & 1732  & 1425  &  472  & 37    & 75    & 1830  &  110  & 16548 & 5406  & 500   &  600  & 82    & 88    & 11.3  & 31    & 10932 &  73  \\\\\n",
       "\tAlma College & Yes   & 1267  & 1080  &  385  & 44    & 73    & 1306  &   28  & 12572 & 4552  & 400   &  400  & 79    & 87    & 15.3  & 32    &  9305 &  68  \\\\\n",
       "\tAmherst College & Yes   & 4302  &  992  &  418  & 83    & 96    & 1593  &    5  & 19760 & 5300  & 660   & 1598  & 93    & 98    &  8.4  & 63    & 21424 & 100  \\\\\n",
       "\tAppalachian State University & No    & 7313  & 4664  & 1910  & 20    & 63    & 9940  & 1035  &  6806 & 2540  &  96   & 2000  & 83    & 96    & 18.3  & 14    &  5854 &  70  \\\\\n",
       "\tArkansas College (Lyon College) & Yes   &  708  &  334  &  166  & 46    & 74    &  530  &  182  &  8644 & 3922  & 500   &  800  & 79    & 88    & 12.6  & 24    & 14579 &  54  \\\\\n",
       "\tArkansas Tech University & No    & 1734  & 1729  &  951  & 12    & 52    & 3602  &  939  &  3460 & 2650  & 450   & 1000  & 57    & 60    & 19.6  &  5    &  4739 &  48  \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | Private | Apps | Accept | Enroll | Top10perc | Top25perc | F.Undergrad | P.Undergrad | Outstate | Room.Board | Books | Personal | PhD | Terminal | S.F.Ratio | perc.alumni | Expend | Grad.Rate |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| Alfred University | Yes   | 1732  | 1425  |  472  | 37    | 75    | 1830  |  110  | 16548 | 5406  | 500   |  600  | 82    | 88    | 11.3  | 31    | 10932 |  73   |\n",
       "| Alma College | Yes   | 1267  | 1080  |  385  | 44    | 73    | 1306  |   28  | 12572 | 4552  | 400   |  400  | 79    | 87    | 15.3  | 32    |  9305 |  68   |\n",
       "| Amherst College | Yes   | 4302  |  992  |  418  | 83    | 96    | 1593  |    5  | 19760 | 5300  | 660   | 1598  | 93    | 98    |  8.4  | 63    | 21424 | 100   |\n",
       "| Appalachian State University | No    | 7313  | 4664  | 1910  | 20    | 63    | 9940  | 1035  |  6806 | 2540  |  96   | 2000  | 83    | 96    | 18.3  | 14    |  5854 |  70   |\n",
       "| Arkansas College (Lyon College) | Yes   |  708  |  334  |  166  | 46    | 74    |  530  |  182  |  8644 | 3922  | 500   |  800  | 79    | 88    | 12.6  | 24    | 14579 |  54   |\n",
       "| Arkansas Tech University | No    | 1734  | 1729  |  951  | 12    | 52    | 3602  |  939  |  3460 | 2650  | 450   | 1000  | 57    | 60    | 19.6  |  5    |  4739 |  48   |\n",
       "\n"
      ],
      "text/plain": [
       "                                Private Apps Accept Enroll Top10perc Top25perc\n",
       "Alfred University               Yes     1732 1425    472   37        75       \n",
       "Alma College                    Yes     1267 1080    385   44        73       \n",
       "Amherst College                 Yes     4302  992    418   83        96       \n",
       "Appalachian State University    No      7313 4664   1910   20        63       \n",
       "Arkansas College (Lyon College) Yes      708  334    166   46        74       \n",
       "Arkansas Tech University        No      1734 1729    951   12        52       \n",
       "                                F.Undergrad P.Undergrad Outstate Room.Board\n",
       "Alfred University               1830         110        16548    5406      \n",
       "Alma College                    1306          28        12572    4552      \n",
       "Amherst College                 1593           5        19760    5300      \n",
       "Appalachian State University    9940        1035         6806    2540      \n",
       "Arkansas College (Lyon College)  530         182         8644    3922      \n",
       "Arkansas Tech University        3602         939         3460    2650      \n",
       "                                Books Personal PhD Terminal S.F.Ratio\n",
       "Alfred University               500    600     82  88       11.3     \n",
       "Alma College                    400    400     79  87       15.3     \n",
       "Amherst College                 660   1598     93  98        8.4     \n",
       "Appalachian State University     96   2000     83  96       18.3     \n",
       "Arkansas College (Lyon College) 500    800     79  88       12.6     \n",
       "Arkansas Tech University        450   1000     57  60       19.6     \n",
       "                                perc.alumni Expend Grad.Rate\n",
       "Alfred University               31          10932   73      \n",
       "Alma College                    32           9305   68      \n",
       "Amherst College                 63          21424  100      \n",
       "Appalachian State University    14           5854   70      \n",
       "Arkansas College (Lyon College) 24          14579   54      \n",
       "Arkansas Tech University         5           4739   48      "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "test = subset(df, sample == FALSE)\n",
    "head(test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Decision Tree\n",
    "library(rpart)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "n= 622 \n",
       "\n",
       "node), split, n, loss, yval, (yprob)\n",
       "      * denotes terminal node\n",
       "\n",
       " 1) root 622 170 Yes (0.27331190 0.72668810)  \n",
       "   2) F.Undergrad>=2992.5 190  55 No (0.71052632 0.28947368)  \n",
       "     4) Outstate< 10674 135   8 No (0.94074074 0.05925926) *\n",
       "     5) Outstate>=10674 55   8 Yes (0.14545455 0.85454545)  \n",
       "      10) F.Undergrad>=9366.5 10   4 No (0.60000000 0.40000000) *\n",
       "      11) F.Undergrad< 9366.5 45   2 Yes (0.04444444 0.95555556) *\n",
       "   3) F.Undergrad< 2992.5 432  35 Yes (0.08101852 0.91898148)  \n",
       "     6) Outstate< 7935 94  34 Yes (0.36170213 0.63829787)  \n",
       "      12) F.Undergrad>=955 62  30 No (0.51612903 0.48387097)  \n",
       "        24) Top10perc< 15.5 29   7 No (0.75862069 0.24137931) *\n",
       "        25) Top10perc>=15.5 33  10 Yes (0.30303030 0.69696970)  \n",
       "          50) Top25perc>=71 8   2 No (0.75000000 0.25000000) *\n",
       "          51) Top25perc< 71 25   4 Yes (0.16000000 0.84000000) *\n",
       "      13) F.Undergrad< 955 32   2 Yes (0.06250000 0.93750000) *\n",
       "     7) Outstate>=7935 338   1 Yes (0.00295858 0.99704142) *"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tree <- rpart(Private ~.,method='class',data = train)\n",
    "tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "'class'"
      ],
      "text/latex": [
       "'class'"
      ],
      "text/markdown": [
       "'class'"
      ],
      "text/plain": [
       "[1] \"class\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tree$method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>CP</th><th scope=col>nsplit</th><th scope=col>rel error</th><th scope=col>xerror</th><th scope=col>xstd</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>0.47058824</td><td>0         </td><td>1.0000000 </td><td>1.0000000 </td><td>0.06538070</td></tr>\n",
       "\t<tr><td>0.22941176</td><td>1         </td><td>0.5294118 </td><td>0.5705882 </td><td>0.05322570</td></tr>\n",
       "\t<tr><td>0.02941176</td><td>2         </td><td>0.3000000 </td><td>0.3647059 </td><td>0.04394867</td></tr>\n",
       "\t<tr><td>0.02352941</td><td>5         </td><td>0.2117647 </td><td>0.3764706 </td><td>0.04457209</td></tr>\n",
       "\t<tr><td>0.01176471</td><td>6         </td><td>0.1882353 </td><td>0.3529412 </td><td>0.04331115</td></tr>\n",
       "\t<tr><td>0.01000000</td><td>7         </td><td>0.1764706 </td><td>0.3529412 </td><td>0.04331115</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllll}\n",
       " CP & nsplit & rel error & xerror & xstd\\\\\n",
       "\\hline\n",
       "\t 0.47058824 & 0          & 1.0000000  & 1.0000000  & 0.06538070\\\\\n",
       "\t 0.22941176 & 1          & 0.5294118  & 0.5705882  & 0.05322570\\\\\n",
       "\t 0.02941176 & 2          & 0.3000000  & 0.3647059  & 0.04394867\\\\\n",
       "\t 0.02352941 & 5          & 0.2117647  & 0.3764706  & 0.04457209\\\\\n",
       "\t 0.01176471 & 6          & 0.1882353  & 0.3529412  & 0.04331115\\\\\n",
       "\t 0.01000000 & 7          & 0.1764706  & 0.3529412  & 0.04331115\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| CP | nsplit | rel error | xerror | xstd |\n",
       "|---|---|---|---|---|\n",
       "| 0.47058824 | 0          | 1.0000000  | 1.0000000  | 0.06538070 |\n",
       "| 0.22941176 | 1          | 0.5294118  | 0.5705882  | 0.05322570 |\n",
       "| 0.02941176 | 2          | 0.3000000  | 0.3647059  | 0.04394867 |\n",
       "| 0.02352941 | 5          | 0.2117647  | 0.3764706  | 0.04457209 |\n",
       "| 0.01176471 | 6          | 0.1882353  | 0.3529412  | 0.04331115 |\n",
       "| 0.01000000 | 7          | 0.1764706  | 0.3529412  | 0.04331115 |\n",
       "\n"
      ],
      "text/plain": [
       "  CP         nsplit rel error xerror    xstd      \n",
       "1 0.47058824 0      1.0000000 1.0000000 0.06538070\n",
       "2 0.22941176 1      0.5294118 0.5705882 0.05322570\n",
       "3 0.02941176 2      0.3000000 0.3647059 0.04394867\n",
       "4 0.02352941 5      0.2117647 0.3764706 0.04457209\n",
       "5 0.01176471 6      0.1882353 0.3529412 0.04331115\n",
       "6 0.01000000 7      0.1764706 0.3529412 0.04331115"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tree$cptable"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "rpart(formula = Private ~ ., data = train, method = \"class\")"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tree$call"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Private ~ Apps + Accept + Enroll + Top10perc + Top25perc + F.Undergrad + \n",
       "    P.Undergrad + Outstate + Room.Board + Books + Personal + \n",
       "    PhD + Terminal + S.F.Ratio + perc.alumni + Expend + Grad.Rate\n",
       "attr(,\"variables\")\n",
       "list(Private, Apps, Accept, Enroll, Top10perc, Top25perc, F.Undergrad, \n",
       "    P.Undergrad, Outstate, Room.Board, Books, Personal, PhD, \n",
       "    Terminal, S.F.Ratio, perc.alumni, Expend, Grad.Rate)\n",
       "attr(,\"factors\")\n",
       "            Apps Accept Enroll Top10perc Top25perc F.Undergrad P.Undergrad\n",
       "Private        0      0      0         0         0           0           0\n",
       "Apps           1      0      0         0         0           0           0\n",
       "Accept         0      1      0         0         0           0           0\n",
       "Enroll         0      0      1         0         0           0           0\n",
       "Top10perc      0      0      0         1         0           0           0\n",
       "Top25perc      0      0      0         0         1           0           0\n",
       "F.Undergrad    0      0      0         0         0           1           0\n",
       "P.Undergrad    0      0      0         0         0           0           1\n",
       "Outstate       0      0      0         0         0           0           0\n",
       "Room.Board     0      0      0         0         0           0           0\n",
       "Books          0      0      0         0         0           0           0\n",
       "Personal       0      0      0         0         0           0           0\n",
       "PhD            0      0      0         0         0           0           0\n",
       "Terminal       0      0      0         0         0           0           0\n",
       "S.F.Ratio      0      0      0         0         0           0           0\n",
       "perc.alumni    0      0      0         0         0           0           0\n",
       "Expend         0      0      0         0         0           0           0\n",
       "Grad.Rate      0      0      0         0         0           0           0\n",
       "            Outstate Room.Board Books Personal PhD Terminal S.F.Ratio\n",
       "Private            0          0     0        0   0        0         0\n",
       "Apps               0          0     0        0   0        0         0\n",
       "Accept             0          0     0        0   0        0         0\n",
       "Enroll             0          0     0        0   0        0         0\n",
       "Top10perc          0          0     0        0   0        0         0\n",
       "Top25perc          0          0     0        0   0        0         0\n",
       "F.Undergrad        0          0     0        0   0        0         0\n",
       "P.Undergrad        0          0     0        0   0        0         0\n",
       "Outstate           1          0     0        0   0        0         0\n",
       "Room.Board         0          1     0        0   0        0         0\n",
       "Books              0          0     1        0   0        0         0\n",
       "Personal           0          0     0        1   0        0         0\n",
       "PhD                0          0     0        0   1        0         0\n",
       "Terminal           0          0     0        0   0        1         0\n",
       "S.F.Ratio          0          0     0        0   0        0         1\n",
       "perc.alumni        0          0     0        0   0        0         0\n",
       "Expend             0          0     0        0   0        0         0\n",
       "Grad.Rate          0          0     0        0   0        0         0\n",
       "            perc.alumni Expend Grad.Rate\n",
       "Private               0      0         0\n",
       "Apps                  0      0         0\n",
       "Accept                0      0         0\n",
       "Enroll                0      0         0\n",
       "Top10perc             0      0         0\n",
       "Top25perc             0      0         0\n",
       "F.Undergrad           0      0         0\n",
       "P.Undergrad           0      0         0\n",
       "Outstate              0      0         0\n",
       "Room.Board            0      0         0\n",
       "Books                 0      0         0\n",
       "Personal              0      0         0\n",
       "PhD                   0      0         0\n",
       "Terminal              0      0         0\n",
       "S.F.Ratio             0      0         0\n",
       "perc.alumni           1      0         0\n",
       "Expend                0      1         0\n",
       "Grad.Rate             0      0         1\n",
       "attr(,\"term.labels\")\n",
       " [1] \"Apps\"        \"Accept\"      \"Enroll\"      \"Top10perc\"   \"Top25perc\"  \n",
       " [6] \"F.Undergrad\" \"P.Undergrad\" \"Outstate\"    \"Room.Board\"  \"Books\"      \n",
       "[11] \"Personal\"    \"PhD\"         \"Terminal\"    \"S.F.Ratio\"   \"perc.alumni\"\n",
       "[16] \"Expend\"      \"Grad.Rate\"  \n",
       "attr(,\"order\")\n",
       " [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
       "attr(,\"intercept\")\n",
       "[1] 1\n",
       "attr(,\"response\")\n",
       "[1] 1\n",
       "attr(,\".Environment\")\n",
       "<environment: R_GlobalEnv>\n",
       "attr(,\"predvars\")\n",
       "list(Private, Apps, Accept, Enroll, Top10perc, Top25perc, F.Undergrad, \n",
       "    P.Undergrad, Outstate, Room.Board, Books, Personal, PhD, \n",
       "    Terminal, S.F.Ratio, perc.alumni, Expend, Grad.Rate)\n",
       "attr(,\"dataClasses\")\n",
       "    Private        Apps      Accept      Enroll   Top10perc   Top25perc \n",
       "   \"factor\"   \"numeric\"   \"numeric\"   \"numeric\"   \"numeric\"   \"numeric\" \n",
       "F.Undergrad P.Undergrad    Outstate  Room.Board       Books    Personal \n",
       "  \"numeric\"   \"numeric\"   \"numeric\"   \"numeric\"   \"numeric\"   \"numeric\" \n",
       "        PhD    Terminal   S.F.Ratio perc.alumni      Expend   Grad.Rate \n",
       "  \"numeric\"   \"numeric\"   \"numeric\"   \"numeric\"   \"numeric\"   \"numeric\" "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tree$terms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<dl class=dl-horizontal>\n",
       "\t<dt>Abilene Christian University</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>Adelphi University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Adrian College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Agnes Scott College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Alaska Pacific University</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Albertson College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Albertus Magnus College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Albion College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Albright College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Alderson-Broaddus College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Allegheny College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Allentown Coll. of St. Francis de Sales</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Alverno College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>American International College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Anderson University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Andrews University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Angelo State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Antioch University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Aquinas College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Arizona State University Main campus</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Assumption College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Auburn University-Main Campus</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Augsburg College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Austin College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Averett College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Baker University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Baldwin-Wallace College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Barat College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Bard College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Barnard College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Barry University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Baylor University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Bellarmine College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Belmont University</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>Bemidji State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Benedictine College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Bennington College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Bentley College</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Berry College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Bethany College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Bethel College KS</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Bethel College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Birmingham-Southern College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Blackburn College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Bloomsburg Univ. of Pennsylvania</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Bluefield College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Bluffton College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Boston University</dt>\n",
       "\t\t<dd>5</dd>\n",
       "\t<dt>Bowdoin College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Bowling Green State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Bradford College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Bradley University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Brandeis University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Brenau University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Brewton-Parker College</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Briar Cliff College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Brown University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Buena Vista College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Butler University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Cabrini College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>California State University at Fresno</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Calvin College</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Campbellsville College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Capitol College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Carleton College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Carnegie Mellon University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Carroll College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Carthage College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Case Western Reserve University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Castleton State College</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Catawba College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Cazenovia College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Cedarville College</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>Centenary College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Centenary College of Louisiana</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Center for Creative Studies</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Central College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Central Connecticut State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Central Missouri State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Central Washington University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Centre College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Chapman University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Chatham College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Christendom College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Christian Brothers University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Christopher Newport University</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Claflin College</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>Claremont McKenna College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Clark University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Clarke College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Clarkson University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Clemson University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt><span style=white-space:pre-wrap>Clinch Valley Coll. of  the Univ. of Virginia</span></dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Coker College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Colby College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Colgate University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>College Misericordia</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>College of Mount St. Joseph</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>College of Notre Dame</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>College of Notre Dame of Maryland</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>College of Saint Benedict</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>College of St. Joseph</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>College of St. Scholastica</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>College of the Holy Cross</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>College of William and Mary</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>College of Wooster</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Colorado College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Colorado State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Columbia College MO</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Columbia College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Columbia University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Concordia Lutheran College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Concordia University CA</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Concordia University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Connecticut College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Converse College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Cornell College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Creighton University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Culver-Stockton College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Cumberland College</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>D'Youville College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Dana College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Dartmouth College</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Davidson College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Denison University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Dickinson College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Dickinson State University</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Doane College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Dominican College of Blauvelt</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Dordt College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Dowling College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Drake University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Drew University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Drury College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Duke University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>East Carolina University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>East Tennessee State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>East Texas Baptist University</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Eastern College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Eastern Connecticut State University</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Eastern Illinois University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Eastern Mennonite College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Eastern Nazarene College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Eckerd College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Elms College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Embry Riddle Aeronautical University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Emory &amp; Henry College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Emporia State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Erskine College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Evergreen State College</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Fairfield University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Fayetteville State University</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Ferrum College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Flagler College</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>Florida International University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Florida Southern College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Florida State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Fontbonne College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Fort Lewis College</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Franklin College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Fresno Pacific College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Gannon University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Gardner Webb University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Geneva College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>George Fox College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>George Mason University</dt>\n",
       "\t\t<dd>5</dd>\n",
       "\t<dt>George Washington University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Georgetown College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Georgetown University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Georgia Institute of Technology</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Georgia State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Georgian Court College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Gettysburg College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Goldey Beacom College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Gonzaga University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Gordon College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Goshen College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Grace College and Seminary</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Graceland College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Grand Valley State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Greensboro College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Greenville College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Grinnell College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Grove City College</dt>\n",
       "\t\t<dd>12</dd>\n",
       "\t<dt>Guilford College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Gustavus Adolphus College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Hamilton College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Hampden - Sydney College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Hampton University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Hanover College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Hardin-Simmons University</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>Hartwick College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Harvard University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Harvey Mudd College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Hastings College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Hendrix College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Hillsdale College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Hobart and William Smith Colleges</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Hofstra University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Hollins College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Hood College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Hope College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Houghton College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Huntingdon College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Huron University</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Husson College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Illinois College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Illinois Institute of Technology</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Illinois State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Illinois Wesleyan University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Immaculata College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Incarnate Word College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Indiana State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Indiana Wesleyan University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Iona College</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Iowa State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Ithaca College</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>James Madison University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Jersey City State College</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>John Brown University</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>John Carroll University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Johnson State College</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Judson College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Juniata College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Kansas State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Kansas Wesleyan University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Keene State College</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Kentucky Wesleyan College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Kenyon College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Keuka College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>King's College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>King College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Knox College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>La Roche College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>La Salle University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>LaGrange College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Lake Forest College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Lamar University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Lambuth University</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Lander University</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Lawrence University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Le Moyne College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Lebanon Valley College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Lehigh University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Lenoir-Rhyne College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Lesley College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>LeTourneau University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Lewis University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Lincoln Memorial University</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Lincoln University</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Linfield College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Livingstone College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Lock Haven University of Pennsylvania</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Longwood College</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Loras College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Louisiana Tech University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Loyola College</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Loyola University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Luther College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Lycoming College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Lynchburg College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Lyndon State College</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Macalester College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>MacMurray College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Malone College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Manchester College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Manhattan College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Manhattanville College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Mankato State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Marian College of Fond du Lac</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Marietta College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Marist College</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Marquette University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Marshall University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Mary Washington College</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Marymount College Tarrytown</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Marymount University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Maryville College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Maryville University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Massachusetts Institute of Technology</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Mayville State University</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>McKendree College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>McMurry University</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>McPherson College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Mercer University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Mercyhurst College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Meredith College</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>Merrimack College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Mesa State College</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Messiah College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Miami University at Oxford</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Michigan State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>MidAmerica Nazarene College</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Millersville University of Penn.</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Milligan College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Millikin University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Millsaps College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Mississippi College</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>Mississippi State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Missouri Southern State College</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Missouri Valley College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Monmouth College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Montana College of Mineral Sci. &amp; Tech.</dt>\n",
       "\t\t<dd>12</dd>\n",
       "\t<dt>Montana State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Montclair State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Montreat-Anderson College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Moorhead State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Moravian College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Morehouse College</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>Morningside College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Morris College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Mount Holyoke College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Mount Marty College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Mount Mary College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Mount Mercy College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Mount Saint Mary's College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Mount Saint Mary College</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Mount St. Mary's College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Mount Union College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Mount Vernon Nazarene College</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>Muhlenberg College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Muskingum College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>National-Louis University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Nazareth College of Rochester</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>New Jersey Institute of Technology</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>New Mexico Institute of Mining and Tech.</dt>\n",
       "\t\t<dd>12</dd>\n",
       "\t<dt>New York University</dt>\n",
       "\t\t<dd>5</dd>\n",
       "\t<dt>Newberry College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Niagara University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>North Adams State College</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>North Carolina State University at Raleigh</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>North Carolina Wesleyan College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>North Central College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>North Dakota State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>North Park College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Northeast Missouri State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Northern Arizona University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Northwest Missouri State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Northwest Nazarene College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Northwestern College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Northwestern University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Oakland University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Oberlin College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Occidental College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Oglethorpe University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Ohio University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Ohio Wesleyan University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Oklahoma Baptist University</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>Oklahoma Christian University</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>Oklahoma State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Otterbein College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Ouachita Baptist University</dt>\n",
       "\t\t<dd>12</dd>\n",
       "\t<dt>Pace University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Pacific Lutheran University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Pacific Union College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Pembroke State University</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Pennsylvania State Univ. Main Campus</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Pepperdine University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Peru State College</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Pfeiffer College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Philadelphia Coll. of Textiles and Sci.</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Phillips University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Piedmont College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Pikeville College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Pitzer College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Point Loma Nazarene College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Polytechnic University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Prairie View A. and M. University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Presbyterian College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Princeton University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Providence College</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Purdue University at West Lafayette</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Queens College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Quinnipiac College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Radford University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Ramapo College of New Jersey</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Randolph-Macon College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Reed College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Regis College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Rensselaer Polytechnic Institute</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Rhodes College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Rider University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Rivier College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Roanoke College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Rockhurst College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Rocky Mountain College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Rollins College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Rosary College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Rowan College of New Jersey</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Rutgers at New Brunswick</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Rutgers State University at Camden</dt>\n",
       "\t\t<dd>12</dd>\n",
       "\t<dt>Rutgers State University at Newark</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Sacred Heart University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Saint Francis College IN</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Saint Francis College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Saint John's University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Saint Joseph's College IN</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Saint Joseph's College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Saint Joseph's University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Saint Louis University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Saint Mary's College of Minnesota</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Saint Michael's College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Saint Vincent College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Salem-Teikyo University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Salem College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Salisbury State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Samford University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>San Diego State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Santa Clara University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Savannah Coll. of Art and Design</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Schreiner College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Scripps College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Seattle Pacific University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Seton Hill College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Shippensburg University of Penn.</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Shorter College</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>Siena College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Siena Heights College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Simmons College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Skidmore College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Smith College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Southeastern Oklahoma State Univ.</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>Southern Illinois University at Edwardsville</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Southern Methodist University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Southwest Baptist University</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Southwest State University</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Southwestern Adventist College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Southwestern College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Southwestern University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Spalding University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Spring Arbor College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>St. John Fisher College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>St. Lawrence University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>St. Martin's College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>St. Mary's College of Maryland</dt>\n",
       "\t\t<dd>12</dd>\n",
       "\t<dt>St. Mary's University of San Antonio</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>St. Norbert College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>St. Paul's College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>St. Thomas Aquinas College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Stephens College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Stetson University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Stonehill College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>SUNY at Albany</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>SUNY at Binghamton</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>SUNY at Buffalo</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt><span style=white-space:pre-wrap>SUNY College  at Brockport</span></dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt><span style=white-space:pre-wrap>SUNY College  at Oswego</span></dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>SUNY College at Buffalo</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>SUNY College at Cortland</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>SUNY College at Fredonia</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>SUNY College at Geneseo</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>SUNY College at New Paltz</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>SUNY College at Plattsburgh</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>SUNY College at Potsdam</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>SUNY College at Purchase</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Susquehanna University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Sweet Briar College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Syracuse University</dt>\n",
       "\t\t<dd>5</dd>\n",
       "\t<dt>Tabor College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Talladega College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Taylor University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Tennessee Wesleyan College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Texas A&amp;M University at Galveston</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>Texas Christian University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Texas Lutheran College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Texas Wesleyan University</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>Thiel College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Tiffin University</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Trenton State College</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Tri-State University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Trinity College CT</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Trinity College DC</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Trinity College VT</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Trinity University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Tulane University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Tusculum College</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Tuskegee University</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>Union College KY</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Univ. of Wisconsin at OshKosh</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Arkansas at Fayetteville</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of California at Berkeley</dt>\n",
       "\t\t<dd>5</dd>\n",
       "\t<dt>University of California at Irvine</dt>\n",
       "\t\t<dd>5</dd>\n",
       "\t<dt>University of Charleston</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>University of Chicago</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>University of Cincinnati</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Connecticut at Storrs</dt>\n",
       "\t\t<dd>5</dd>\n",
       "\t<dt>University of Dallas</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>University of Dayton</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>University of Delaware</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Denver</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>University of Detroit Mercy</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>University of Dubuque</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>University of Evansville</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>University of Georgia</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Hartford</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>University of Hawaii at Manoa</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Illinois - Urbana</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Illinois at Chicago</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Indianapolis</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>University of Kansas</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of La Verne</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>University of Louisville</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Maine at Farmington</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>University of Maine at Presque Isle</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>University of Maryland at Baltimore County</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Massachusetts at Amherst</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Miami</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>University of Minnesota Twin Cities</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Mississippi</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Missouri at Columbia</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Missouri at Rolla</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Missouri at Saint Louis</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Mobile</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>University of Montevallo</dt>\n",
       "\t\t<dd>12</dd>\n",
       "\t<dt>University of Nebraska at Lincoln</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of New England</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>University of New Hampshire</dt>\n",
       "\t\t<dd>5</dd>\n",
       "\t<dt>University of North Carolina at Asheville</dt>\n",
       "\t\t<dd>12</dd>\n",
       "\t<dt>University of North Carolina at Greensboro</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of North Carolina at Wilmington</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of North Dakota</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of North Florida</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of North Texas</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Northern Colorado</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Notre Dame</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>University of Oklahoma</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Pennsylvania</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>University of Portland</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>University of Rhode Island</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Richmond</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>University of Rochester</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>University of San Diego</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>University of San Francisco</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>University of Sci. and Arts of Oklahoma</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>University of Scranton</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>University of South Carolina at Aiken</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>University of South Carolina at Columbia</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of South Florida</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Southern California</dt>\n",
       "\t\t<dd>5</dd>\n",
       "\t<dt>University of Southern Colorado</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Southern Indiana</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Southern Mississippi</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of St. Thomas MN</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>University of St. Thomas TX</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>University of Tennessee at Knoxville</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Texas at Austin</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Texas at San Antonio</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of the Pacific</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>University of the South</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>University of Tulsa</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>University of Vermont</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>University of Virginia</dt>\n",
       "\t\t<dd>5</dd>\n",
       "\t<dt>University of Washington</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of West Florida</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Wisconsin-Stout</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Wisconsin-Superior</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>University of Wisconsin-Whitewater</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Wisconsin at Green Bay</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Wisconsin at Madison</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Wisconsin at Milwaukee</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>University of Wyoming</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Upper Iowa University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Ursinus College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Ursuline College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Valley City State University</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Valparaiso University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Vanderbilt University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Vassar College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Virginia Commonwealth University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Virginia State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Virginia Tech</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Virginia Union University</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>Virginia Wesleyan College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Viterbo College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Voorhees College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Wabash College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Wagner College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Wake Forest University</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>Walsh University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Warren Wilson College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Washington and Jefferson College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Washington and Lee University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Washington College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Washington State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Wayne State College</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Waynesburg College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Webber College</dt>\n",
       "\t\t<dd>14</dd>\n",
       "\t<dt>Webster University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Wellesley College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Wells College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Wentworth Institute of Technology</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Wesley College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Wesleyan University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>West Chester University of Penn.</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>West Virginia Wesleyan College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Western Maryland College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Western New England College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Western State College of Colorado</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Western Washington University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Westminster College MO</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Westminster College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Westminster College of Salt Lake City</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Westmont College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Wheaton College IL</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Westminster College PA</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Whitman College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Whitworth College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Widener University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Wilkes University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>William Jewell College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>William Woods University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Williams College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Wilson College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Wingate College</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>Winona State University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Winthrop University</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Wisconsin Lutheran College</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Wittenberg University</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Worcester Polytechnic Institute</dt>\n",
       "\t\t<dd>15</dd>\n",
       "\t<dt>Worcester State College</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>Xavier University of Louisiana</dt>\n",
       "\t\t<dd>13</dd>\n",
       "\t<dt>York College of Pennsylvania</dt>\n",
       "\t\t<dd>13</dd>\n",
       "</dl>\n"
      ],
      "text/latex": [
       "\\begin{description*}\n",
       "\\item[Abilene Christian University] 13\n",
       "\\item[Adelphi University] 15\n",
       "\\item[Adrian College] 15\n",
       "\\item[Agnes Scott College] 15\n",
       "\\item[Alaska Pacific University] 14\n",
       "\\item[Albertson College] 15\n",
       "\\item[Albertus Magnus College] 15\n",
       "\\item[Albion College] 15\n",
       "\\item[Albright College] 15\n",
       "\\item[Alderson-Broaddus College] 15\n",
       "\\item[Allegheny College] 15\n",
       "\\item[Allentown Coll. of St. Francis de Sales] 15\n",
       "\\item[Alverno College] 15\n",
       "\\item[American International College] 15\n",
       "\\item[Anderson University] 15\n",
       "\\item[Andrews University] 15\n",
       "\\item[Angelo State University] 3\n",
       "\\item[Antioch University] 15\n",
       "\\item[Aquinas College] 15\n",
       "\\item[Arizona State University Main campus] 3\n",
       "\\item[Assumption College] 15\n",
       "\\item[Auburn University-Main Campus] 3\n",
       "\\item[Augsburg College] 15\n",
       "\\item[Austin College] 15\n",
       "\\item[Averett College] 15\n",
       "\\item[Baker University] 15\n",
       "\\item[Baldwin-Wallace College] 15\n",
       "\\item[Barat College] 15\n",
       "\\item[Bard College] 15\n",
       "\\item[Barnard College] 15\n",
       "\\item[Barry University] 15\n",
       "\\item[Baylor University] 3\n",
       "\\item[Bellarmine College] 15\n",
       "\\item[Belmont University] 13\n",
       "\\item[Bemidji State University] 3\n",
       "\\item[Benedictine College] 15\n",
       "\\item[Bennington College] 15\n",
       "\\item[Bentley College] 6\n",
       "\\item[Berry College] 15\n",
       "\\item[Bethany College] 15\n",
       "\\item[Bethel College KS] 15\n",
       "\\item[Bethel College] 14\n",
       "\\item[Birmingham-Southern College] 15\n",
       "\\item[Blackburn College] 14\n",
       "\\item[Bloomsburg Univ. of Pennsylvania] 3\n",
       "\\item[Bluefield College] 14\n",
       "\\item[Bluffton College] 15\n",
       "\\item[Boston University] 5\n",
       "\\item[Bowdoin College] 15\n",
       "\\item[Bowling Green State University] 3\n",
       "\\item[Bradford College] 15\n",
       "\\item[Bradley University] 6\n",
       "\\item[Brandeis University] 15\n",
       "\\item[Brenau University] 15\n",
       "\\item[Brewton-Parker College] 10\n",
       "\\item[Briar Cliff College] 15\n",
       "\\item[Brown University] 6\n",
       "\\item[Buena Vista College] 15\n",
       "\\item[Butler University] 15\n",
       "\\item[Cabrini College] 15\n",
       "\\item[California State University at Fresno] 3\n",
       "\\item[Calvin College] 3\n",
       "\\item[Campbellsville College] 14\n",
       "\\item[Capitol College] 15\n",
       "\\item[Carleton College] 15\n",
       "\\item[Carnegie Mellon University] 6\n",
       "\\item[Carroll College] 15\n",
       "\\item[Carthage College] 15\n",
       "\\item[Case Western Reserve University] 6\n",
       "\\item[Castleton State College] 10\n",
       "\\item[Catawba College] 15\n",
       "\\item[Cazenovia College] 15\n",
       "\\item[Cedarville College] 13\n",
       "\\item[Centenary College] 15\n",
       "\\item[Centenary College of Louisiana] 15\n",
       "\\item[Center for Creative Studies] 15\n",
       "\\item[Central College] 15\n",
       "\\item[Central Connecticut State University] 3\n",
       "\\item[Central Missouri State University] 3\n",
       "\\item[Central Washington University] 3\n",
       "\\item[Centre College] 15\n",
       "\\item[Chapman University] 15\n",
       "\\item[Chatham College] 15\n",
       "\\item[Christendom College] 15\n",
       "\\item[Christian Brothers University] 15\n",
       "\\item[Christopher Newport University] 10\n",
       "\\item[Claflin College] 13\n",
       "\\item[Claremont McKenna College] 15\n",
       "\\item[Clark University] 15\n",
       "\\item[Clarke College] 15\n",
       "\\item[Clarkson University] 15\n",
       "\\item[Clemson University] 3\n",
       "\\item[Clinch Valley Coll. of  the Univ. of Virginia] 10\n",
       "\\item[Coker College] 15\n",
       "\\item[Colby College] 15\n",
       "\\item[Colgate University] 15\n",
       "\\item[College Misericordia] 15\n",
       "\\item[College of Mount St. Joseph] 15\n",
       "\\item[College of Notre Dame] 15\n",
       "\\item[College of Notre Dame of Maryland] 15\n",
       "\\item[College of Saint Benedict] 15\n",
       "\\item[College of St. Joseph] 15\n",
       "\\item[College of St. Scholastica] 15\n",
       "\\item[College of the Holy Cross] 15\n",
       "\\item[College of William and Mary] 6\n",
       "\\item[College of Wooster] 15\n",
       "\\item[Colorado College] 15\n",
       "\\item[Colorado State University] 3\n",
       "\\item[Columbia College MO] 15\n",
       "\\item[Columbia College] 15\n",
       "\\item[Columbia University] 6\n",
       "\\item[Concordia Lutheran College] 14\n",
       "\\item[Concordia University CA] 15\n",
       "\\item[Concordia University] 15\n",
       "\\item[Connecticut College] 15\n",
       "\\item[Converse College] 15\n",
       "\\item[Cornell College] 15\n",
       "\\item[Creighton University] 3\n",
       "\\item[Culver-Stockton College] 15\n",
       "\\item[Cumberland College] 13\n",
       "\\item[D'Youville College] 15\n",
       "\\item[Dana College] 15\n",
       "\\item[Dartmouth College] 6\n",
       "\\item[Davidson College] 15\n",
       "\\item[Denison University] 15\n",
       "\\item[Dickinson College] 15\n",
       "\\item[Dickinson State University] 10\n",
       "\\item[Doane College] 15\n",
       "\\item[Dominican College of Blauvelt] 15\n",
       "\\item[Dordt College] 15\n",
       "\\item[Dowling College] 15\n",
       "\\item[Drake University] 6\n",
       "\\item[Drew University] 15\n",
       "\\item[Drury College] 15\n",
       "\\item[Duke University] 6\n",
       "\\item[East Carolina University] 3\n",
       "\\item[East Tennessee State University] 3\n",
       "\\item[East Texas Baptist University] 10\n",
       "\\item[Eastern College] 15\n",
       "\\item[Eastern Connecticut State University] 10\n",
       "\\item[Eastern Illinois University] 3\n",
       "\\item[Eastern Mennonite College] 15\n",
       "\\item[Eastern Nazarene College] 15\n",
       "\\item[Eckerd College] 15\n",
       "\\item[Elms College] 15\n",
       "\\item[Embry Riddle Aeronautical University] 3\n",
       "\\item[Emory \\textbackslash{}\\& Henry College] 15\n",
       "\\item[Emporia State University] 3\n",
       "\\item[Erskine College] 15\n",
       "\\item[Evergreen State College] 3\n",
       "\\item[Fairfield University] 15\n",
       "\\item[Fayetteville State University] 10\n",
       "\\item[Ferrum College] 15\n",
       "\\item[Flagler College] 13\n",
       "\\item[Florida International University] 3\n",
       "\\item[Florida Southern College] 15\n",
       "\\item[Florida State University] 3\n",
       "\\item[Fontbonne College] 15\n",
       "\\item[Fort Lewis College] 3\n",
       "\\item[Franklin College] 15\n",
       "\\item[Fresno Pacific College] 15\n",
       "\\item[Gannon University] 15\n",
       "\\item[Gardner Webb University] 15\n",
       "\\item[Geneva College] 15\n",
       "\\item[George Fox College] 15\n",
       "\\item[George Mason University] 5\n",
       "\\item[George Washington University] 6\n",
       "\\item[Georgetown College] 15\n",
       "\\item[Georgetown University] 6\n",
       "\\item[Georgia Institute of Technology] 3\n",
       "\\item[Georgia State University] 3\n",
       "\\item[Georgian Court College] 15\n",
       "\\item[Gettysburg College] 15\n",
       "\\item[Goldey Beacom College] 14\n",
       "\\item[Gonzaga University] 15\n",
       "\\item[Gordon College] 15\n",
       "\\item[Goshen College] 15\n",
       "\\item[Grace College and Seminary] 15\n",
       "\\item[Graceland College] 15\n",
       "\\item[Grand Valley State University] 3\n",
       "\\item[Greensboro College] 15\n",
       "\\item[Greenville College] 15\n",
       "\\item[Grinnell College] 15\n",
       "\\item[Grove City College] 12\n",
       "\\item[Guilford College] 15\n",
       "\\item[Gustavus Adolphus College] 15\n",
       "\\item[Hamilton College] 15\n",
       "\\item[Hampden - Sydney College] 15\n",
       "\\item[Hampton University] 3\n",
       "\\item[Hanover College] 15\n",
       "\\item[Hardin-Simmons University] 13\n",
       "\\item[Hartwick College] 15\n",
       "\\item[Harvard University] 6\n",
       "\\item[Harvey Mudd College] 15\n",
       "\\item[Hastings College] 15\n",
       "\\item[Hendrix College] 15\n",
       "\\item[Hillsdale College] 15\n",
       "\\item[Hobart and William Smith Colleges] 15\n",
       "\\item[Hofstra University] 6\n",
       "\\item[Hollins College] 15\n",
       "\\item[Hood College] 15\n",
       "\\item[Hope College] 15\n",
       "\\item[Houghton College] 15\n",
       "\\item[Huntingdon College] 15\n",
       "\\item[Huron University] 14\n",
       "\\item[Husson College] 14\n",
       "\\item[Illinois College] 15\n",
       "\\item[Illinois Institute of Technology] 15\n",
       "\\item[Illinois State University] 3\n",
       "\\item[Illinois Wesleyan University] 15\n",
       "\\item[Immaculata College] 15\n",
       "\\item[Incarnate Word College] 15\n",
       "\\item[Indiana State University] 3\n",
       "\\item[Indiana Wesleyan University] 15\n",
       "\\item[Iona College] 6\n",
       "\\item[Iowa State University] 3\n",
       "\\item[Ithaca College] 6\n",
       "\\item[James Madison University] 3\n",
       "\\item[Jersey City State College] 3\n",
       "\\item[John Brown University] 13\n",
       "\\item[John Carroll University] 6\n",
       "\\item[Johnson State College] 10\n",
       "\\item[Judson College] 15\n",
       "\\item[Juniata College] 15\n",
       "\\item[Kansas State University] 3\n",
       "\\item[Kansas Wesleyan University] 15\n",
       "\\item[Keene State College] 3\n",
       "\\item[Kentucky Wesleyan College] 15\n",
       "\\item[Kenyon College] 15\n",
       "\\item[Keuka College] 15\n",
       "\\item[King's College] 15\n",
       "\\item[King College] 15\n",
       "\\item[Knox College] 15\n",
       "\\item[La Roche College] 15\n",
       "\\item[La Salle University] 15\n",
       "\\item[LaGrange College] 14\n",
       "\\item[Lake Forest College] 15\n",
       "\\item[Lamar University] 3\n",
       "\\item[Lambuth University] 14\n",
       "\\item[Lander University] 10\n",
       "\\item[Lawrence University] 15\n",
       "\\item[Le Moyne College] 15\n",
       "\\item[Lebanon Valley College] 15\n",
       "\\item[Lehigh University] 6\n",
       "\\item[Lenoir-Rhyne College] 15\n",
       "\\item[Lesley College] 15\n",
       "\\item[LeTourneau University] 15\n",
       "\\item[Lewis University] 15\n",
       "\\item[Lincoln Memorial University] 14\n",
       "\\item[Lincoln University] 10\n",
       "\\item[Linfield College] 15\n",
       "\\item[Livingstone College] 14\n",
       "\\item[Lock Haven University of Pennsylvania] 3\n",
       "\\item[Longwood College] 10\n",
       "\\item[Loras College] 15\n",
       "\\item[Louisiana Tech University] 3\n",
       "\\item[Loyola College] 6\n",
       "\\item[Loyola University] 15\n",
       "\\item[Luther College] 15\n",
       "\\item[Lycoming College] 15\n",
       "\\item[Lynchburg College] 15\n",
       "\\item[Lyndon State College] 10\n",
       "\\item[Macalester College] 15\n",
       "\\item[MacMurray College] 15\n",
       "\\item[Malone College] 15\n",
       "\\item[Manchester College] 15\n",
       "\\item[Manhattan College] 15\n",
       "\\item[Manhattanville College] 15\n",
       "\\item[Mankato State University] 3\n",
       "\\item[Marian College of Fond du Lac] 15\n",
       "\\item[Marietta College] 15\n",
       "\\item[Marist College] 6\n",
       "\\item[Marquette University] 6\n",
       "\\item[Marshall University] 3\n",
       "\\item[Mary Washington College] 3\n",
       "\\item[Marymount College Tarrytown] 15\n",
       "\\item[Marymount University] 15\n",
       "\\item[Maryville College] 15\n",
       "\\item[Maryville University] 15\n",
       "\\item[Massachusetts Institute of Technology] 6\n",
       "\\item[Mayville State University] 14\n",
       "\\item[McKendree College] 14\n",
       "\\item[McMurry University] 14\n",
       "\\item[McPherson College] 15\n",
       "\\item[Mercer University] 15\n",
       "\\item[Mercyhurst College] 15\n",
       "\\item[Meredith College] 13\n",
       "\\item[Merrimack College] 15\n",
       "\\item[Mesa State College] 3\n",
       "\\item[Messiah College] 15\n",
       "\\item[Miami University at Oxford] 3\n",
       "\\item[Michigan State University] 3\n",
       "\\item[MidAmerica Nazarene College] 10\n",
       "\\item[Millersville University of Penn.] 3\n",
       "\\item[Milligan College] 15\n",
       "\\item[Millikin University] 15\n",
       "\\item[Millsaps College] 15\n",
       "\\item[Mississippi College] 13\n",
       "\\item[Mississippi State University] 3\n",
       "\\item[Missouri Southern State College] 3\n",
       "\\item[Missouri Valley College] 15\n",
       "\\item[Monmouth College] 15\n",
       "\\item[Montana College of Mineral Sci. \\textbackslash{}\\& Tech.] 12\n",
       "\\item[Montana State University] 3\n",
       "\\item[Montclair State University] 3\n",
       "\\item[Montreat-Anderson College] 15\n",
       "\\item[Moorhead State University] 3\n",
       "\\item[Moravian College] 15\n",
       "\\item[Morehouse College] 13\n",
       "\\item[Morningside College] 15\n",
       "\\item[Morris College] 14\n",
       "\\item[Mount Holyoke College] 15\n",
       "\\item[Mount Marty College] 14\n",
       "\\item[Mount Mary College] 15\n",
       "\\item[Mount Mercy College] 15\n",
       "\\item[Mount Saint Mary's College] 15\n",
       "\\item[Mount Saint Mary College] 10\n",
       "\\item[Mount St. Mary's College] 15\n",
       "\\item[Mount Union College] 15\n",
       "\\item[Mount Vernon Nazarene College] 13\n",
       "\\item[Muhlenberg College] 15\n",
       "\\item[Muskingum College] 15\n",
       "\\item[National-Louis University] 15\n",
       "\\item[Nazareth College of Rochester] 15\n",
       "\\item[New Jersey Institute of Technology] 3\n",
       "\\item[New Mexico Institute of Mining and Tech.] 12\n",
       "\\item[New York University] 5\n",
       "\\item[Newberry College] 15\n",
       "\\item[Niagara University] 15\n",
       "\\item[North Adams State College] 10\n",
       "\\item[North Carolina State University at Raleigh] 3\n",
       "\\item[North Carolina Wesleyan College] 15\n",
       "\\item[North Central College] 15\n",
       "\\item[North Dakota State University] 3\n",
       "\\item[North Park College] 15\n",
       "\\item[Northeast Missouri State University] 3\n",
       "\\item[Northern Arizona University] 3\n",
       "\\item[Northwest Missouri State University] 3\n",
       "\\item[Northwest Nazarene College] 15\n",
       "\\item[Northwestern College] 15\n",
       "\\item[Northwestern University] 6\n",
       "\\item[Oakland University] 3\n",
       "\\item[Oberlin College] 15\n",
       "\\item[Occidental College] 15\n",
       "\\item[Oglethorpe University] 15\n",
       "\\item[Ohio University] 3\n",
       "\\item[Ohio Wesleyan University] 15\n",
       "\\item[Oklahoma Baptist University] 13\n",
       "\\item[Oklahoma Christian University] 13\n",
       "\\item[Oklahoma State University] 3\n",
       "\\item[Otterbein College] 15\n",
       "\\item[Ouachita Baptist University] 12\n",
       "\\item[Pace University] 6\n",
       "\\item[Pacific Lutheran University] 15\n",
       "\\item[Pacific Union College] 15\n",
       "\\item[Pembroke State University] 10\n",
       "\\item[Pennsylvania State Univ. Main Campus] 3\n",
       "\\item[Pepperdine University] 15\n",
       "\\item[Peru State College] 10\n",
       "\\item[Pfeiffer College] 15\n",
       "\\item[Philadelphia Coll. of Textiles and Sci.] 15\n",
       "\\item[Phillips University] 15\n",
       "\\item[Piedmont College] 14\n",
       "\\item[Pikeville College] 14\n",
       "\\item[Pitzer College] 15\n",
       "\\item[Point Loma Nazarene College] 15\n",
       "\\item[Polytechnic University] 15\n",
       "\\item[Prairie View A. and M. University] 3\n",
       "\\item[Presbyterian College] 15\n",
       "\\item[Princeton University] 6\n",
       "\\item[Providence College] 6\n",
       "\\item[Purdue University at West Lafayette] 3\n",
       "\\item[Queens College] 15\n",
       "\\item[Quinnipiac College] 15\n",
       "\\item[Radford University] 3\n",
       "\\item[Ramapo College of New Jersey] 10\n",
       "\\item[Randolph-Macon College] 15\n",
       "\\item[Reed College] 15\n",
       "\\item[Regis College] 15\n",
       "\\item[Rensselaer Polytechnic Institute] 6\n",
       "\\item[Rhodes College] 15\n",
       "\\item[Rider University] 15\n",
       "\\item[Rivier College] 15\n",
       "\\item[Roanoke College] 15\n",
       "\\item[Rockhurst College] 15\n",
       "\\item[Rocky Mountain College] 15\n",
       "\\item[Rollins College] 15\n",
       "\\item[Rosary College] 15\n",
       "\\item[Rowan College of New Jersey] 3\n",
       "\\item[Rutgers at New Brunswick] 3\n",
       "\\item[Rutgers State University at Camden] 12\n",
       "\\item[Rutgers State University at Newark] 3\n",
       "\\item[Sacred Heart University] 15\n",
       "\\item[Saint Francis College IN] 15\n",
       "\\item[Saint Francis College] 15\n",
       "\\item[Saint John's University] 15\n",
       "\\item[Saint Joseph's College IN] 15\n",
       "\\item[Saint Joseph's College] 15\n",
       "\\item[Saint Joseph's University] 15\n",
       "\\item[Saint Louis University] 6\n",
       "\\item[Saint Mary's College of Minnesota] 15\n",
       "\\item[Saint Michael's College] 15\n",
       "\\item[Saint Vincent College] 15\n",
       "\\item[Salem-Teikyo University] 15\n",
       "\\item[Salem College] 15\n",
       "\\item[Salisbury State University] 3\n",
       "\\item[Samford University] 15\n",
       "\\item[San Diego State University] 3\n",
       "\\item[Santa Clara University] 6\n",
       "\\item[Savannah Coll. of Art and Design] 15\n",
       "\\item[Schreiner College] 15\n",
       "\\item[Scripps College] 15\n",
       "\\item[Seattle Pacific University] 15\n",
       "\\item[Seton Hill College] 15\n",
       "\\item[Shippensburg University of Penn.] 3\n",
       "\\item[Shorter College] 13\n",
       "\\item[Siena College] 15\n",
       "\\item[Siena Heights College] 15\n",
       "\\item[Simmons College] 15\n",
       "\\item[Skidmore College] 15\n",
       "\\item[Smith College] 15\n",
       "\\item[Southeastern Oklahoma State Univ.] 13\n",
       "\\item[Southern Illinois University at Edwardsville] 3\n",
       "\\item[Southern Methodist University] 6\n",
       "\\item[Southwest Baptist University] 10\n",
       "\\item[Southwest State University] 10\n",
       "\\item[Southwestern Adventist College] 14\n",
       "\\item[Southwestern College] 14\n",
       "\\item[Southwestern University] 15\n",
       "\\item[Spalding University] 15\n",
       "\\item[Spring Arbor College] 15\n",
       "\\item[St. John Fisher College] 15\n",
       "\\item[St. Lawrence University] 15\n",
       "\\item[St. Martin's College] 15\n",
       "\\item[St. Mary's College of Maryland] 12\n",
       "\\item[St. Mary's University of San Antonio] 15\n",
       "\\item[St. Norbert College] 15\n",
       "\\item[St. Paul's College] 14\n",
       "\\item[St. Thomas Aquinas College] 15\n",
       "\\item[Stephens College] 15\n",
       "\\item[Stetson University] 15\n",
       "\\item[Stonehill College] 15\n",
       "\\item[SUNY at Albany] 3\n",
       "\\item[SUNY at Binghamton] 3\n",
       "\\item[SUNY at Buffalo] 3\n",
       "\\item[SUNY College  at Brockport] 3\n",
       "\\item[SUNY College  at Oswego] 3\n",
       "\\item[SUNY College at Buffalo] 3\n",
       "\\item[SUNY College at Cortland] 3\n",
       "\\item[SUNY College at Fredonia] 3\n",
       "\\item[SUNY College at Geneseo] 3\n",
       "\\item[SUNY College at New Paltz] 3\n",
       "\\item[SUNY College at Plattsburgh] 3\n",
       "\\item[SUNY College at Potsdam] 3\n",
       "\\item[SUNY College at Purchase] 10\n",
       "\\item[Susquehanna University] 15\n",
       "\\item[Sweet Briar College] 15\n",
       "\\item[Syracuse University] 5\n",
       "\\item[Tabor College] 14\n",
       "\\item[Talladega College] 14\n",
       "\\item[Taylor University] 15\n",
       "\\item[Tennessee Wesleyan College] 14\n",
       "\\item[Texas A\\textbackslash{}\\&M University at Galveston] 13\n",
       "\\item[Texas Christian University] 3\n",
       "\\item[Texas Lutheran College] 14\n",
       "\\item[Texas Wesleyan University] 13\n",
       "\\item[Thiel College] 15\n",
       "\\item[Tiffin University] 14\n",
       "\\item[Trenton State College] 3\n",
       "\\item[Tri-State University] 15\n",
       "\\item[Trinity College CT] 15\n",
       "\\item[Trinity College DC] 15\n",
       "\\item[Trinity College VT] 15\n",
       "\\item[Trinity University] 15\n",
       "\\item[Tulane University] 6\n",
       "\\item[Tusculum College] 10\n",
       "\\item[Tuskegee University] 13\n",
       "\\item[Union College KY] 14\n",
       "\\item[Univ. of Wisconsin at OshKosh] 3\n",
       "\\item[University of Arkansas at Fayetteville] 3\n",
       "\\item[University of California at Berkeley] 5\n",
       "\\item[University of California at Irvine] 5\n",
       "\\item[University of Charleston] 15\n",
       "\\item[University of Chicago] 6\n",
       "\\item[University of Cincinnati] 3\n",
       "\\item[University of Connecticut at Storrs] 5\n",
       "\\item[University of Dallas] 15\n",
       "\\item[University of Dayton] 6\n",
       "\\item[University of Delaware] 3\n",
       "\\item[University of Denver] 15\n",
       "\\item[University of Detroit Mercy] 15\n",
       "\\item[University of Dubuque] 15\n",
       "\\item[University of Evansville] 15\n",
       "\\item[University of Georgia] 3\n",
       "\\item[University of Hartford] 6\n",
       "\\item[University of Hawaii at Manoa] 3\n",
       "\\item[University of Illinois - Urbana] 3\n",
       "\\item[University of Illinois at Chicago] 3\n",
       "\\item[University of Indianapolis] 15\n",
       "\\item[University of Kansas] 3\n",
       "\\item[University of La Verne] 15\n",
       "\\item[University of Louisville] 3\n",
       "\\item[University of Maine at Farmington] 13\n",
       "\\item[University of Maine at Presque Isle] 10\n",
       "\\item[University of Maryland at Baltimore County] 3\n",
       "\\item[University of Massachusetts at Amherst] 3\n",
       "\\item[University of Miami] 6\n",
       "\\item[University of Minnesota Twin Cities] 3\n",
       "\\item[University of Mississippi] 3\n",
       "\\item[University of Missouri at Columbia] 3\n",
       "\\item[University of Missouri at Rolla] 3\n",
       "\\item[University of Missouri at Saint Louis] 3\n",
       "\\item[University of Mobile] 13\n",
       "\\item[University of Montevallo] 12\n",
       "\\item[University of Nebraska at Lincoln] 3\n",
       "\\item[University of New England] 15\n",
       "\\item[University of New Hampshire] 5\n",
       "\\item[University of North Carolina at Asheville] 12\n",
       "\\item[University of North Carolina at Greensboro] 3\n",
       "\\item[University of North Carolina at Wilmington] 3\n",
       "\\item[University of North Dakota] 3\n",
       "\\item[University of North Florida] 3\n",
       "\\item[University of North Texas] 3\n",
       "\\item[University of Northern Colorado] 3\n",
       "\\item[University of Notre Dame] 6\n",
       "\\item[University of Oklahoma] 3\n",
       "\\item[University of Pennsylvania] 6\n",
       "\\item[University of Portland] 15\n",
       "\\item[University of Rhode Island] 3\n",
       "\\item[University of Richmond] 15\n",
       "\\item[University of Rochester] 6\n",
       "\\item[University of San Diego] 6\n",
       "\\item[University of San Francisco] 6\n",
       "\\item[University of Sci. and Arts of Oklahoma] 13\n",
       "\\item[University of Scranton] 6\n",
       "\\item[University of South Carolina at Aiken] 10\n",
       "\\item[University of South Carolina at Columbia] 3\n",
       "\\item[University of South Florida] 3\n",
       "\\item[University of Southern California] 5\n",
       "\\item[University of Southern Colorado] 3\n",
       "\\item[University of Southern Indiana] 3\n",
       "\\item[University of Southern Mississippi] 3\n",
       "\\item[University of St. Thomas MN] 6\n",
       "\\item[University of St. Thomas TX] 15\n",
       "\\item[University of Tennessee at Knoxville] 3\n",
       "\\item[University of Texas at Austin] 3\n",
       "\\item[University of Texas at San Antonio] 3\n",
       "\\item[University of the Pacific] 15\n",
       "\\item[University of the South] 15\n",
       "\\item[University of Tulsa] 15\n",
       "\\item[University of Vermont] 6\n",
       "\\item[University of Virginia] 5\n",
       "\\item[University of Washington] 3\n",
       "\\item[University of West Florida] 3\n",
       "\\item[University of Wisconsin-Stout] 3\n",
       "\\item[University of Wisconsin-Superior] 10\n",
       "\\item[University of Wisconsin-Whitewater] 3\n",
       "\\item[University of Wisconsin at Green Bay] 3\n",
       "\\item[University of Wisconsin at Madison] 3\n",
       "\\item[University of Wisconsin at Milwaukee] 3\n",
       "\\item[University of Wyoming] 3\n",
       "\\item[Upper Iowa University] 15\n",
       "\\item[Ursinus College] 15\n",
       "\\item[Ursuline College] 15\n",
       "\\item[Valley City State University] 14\n",
       "\\item[Valparaiso University] 15\n",
       "\\item[Vanderbilt University] 6\n",
       "\\item[Vassar College] 15\n",
       "\\item[Virginia Commonwealth University] 3\n",
       "\\item[Virginia State University] 3\n",
       "\\item[Virginia Tech] 3\n",
       "\\item[Virginia Union University] 13\n",
       "\\item[Virginia Wesleyan College] 15\n",
       "\\item[Viterbo College] 15\n",
       "\\item[Voorhees College] 14\n",
       "\\item[Wabash College] 15\n",
       "\\item[Wagner College] 15\n",
       "\\item[Wake Forest University] 6\n",
       "\\item[Walsh University] 15\n",
       "\\item[Warren Wilson College] 15\n",
       "\\item[Washington and Jefferson College] 15\n",
       "\\item[Washington and Lee University] 15\n",
       "\\item[Washington College] 15\n",
       "\\item[Washington State University] 3\n",
       "\\item[Wayne State College] 10\n",
       "\\item[Waynesburg College] 15\n",
       "\\item[Webber College] 14\n",
       "\\item[Webster University] 15\n",
       "\\item[Wellesley College] 15\n",
       "\\item[Wells College] 15\n",
       "\\item[Wentworth Institute of Technology] 15\n",
       "\\item[Wesley College] 15\n",
       "\\item[Wesleyan University] 15\n",
       "\\item[West Chester University of Penn.] 3\n",
       "\\item[West Virginia Wesleyan College] 15\n",
       "\\item[Western Maryland College] 15\n",
       "\\item[Western New England College] 15\n",
       "\\item[Western State College of Colorado] 10\n",
       "\\item[Western Washington University] 3\n",
       "\\item[Westminster College MO] 15\n",
       "\\item[Westminster College] 15\n",
       "\\item[Westminster College of Salt Lake City] 15\n",
       "\\item[Westmont College] 15\n",
       "\\item[Wheaton College IL] 15\n",
       "\\item[Westminster College PA] 15\n",
       "\\item[Whitman College] 15\n",
       "\\item[Whitworth College] 15\n",
       "\\item[Widener University] 15\n",
       "\\item[Wilkes University] 15\n",
       "\\item[William Jewell College] 15\n",
       "\\item[William Woods University] 15\n",
       "\\item[Williams College] 15\n",
       "\\item[Wilson College] 15\n",
       "\\item[Wingate College] 10\n",
       "\\item[Winona State University] 3\n",
       "\\item[Winthrop University] 3\n",
       "\\item[Wisconsin Lutheran College] 15\n",
       "\\item[Wittenberg University] 15\n",
       "\\item[Worcester Polytechnic Institute] 15\n",
       "\\item[Worcester State College] 3\n",
       "\\item[Xavier University of Louisiana] 13\n",
       "\\item[York College of Pennsylvania] 13\n",
       "\\end{description*}\n"
      ],
      "text/markdown": [
       "Abilene Christian University\n",
       ":   13Adelphi University\n",
       ":   15Adrian College\n",
       ":   15Agnes Scott College\n",
       ":   15Alaska Pacific University\n",
       ":   14Albertson College\n",
       ":   15Albertus Magnus College\n",
       ":   15Albion College\n",
       ":   15Albright College\n",
       ":   15Alderson-Broaddus College\n",
       ":   15Allegheny College\n",
       ":   15Allentown Coll. of St. Francis de Sales\n",
       ":   15Alverno College\n",
       ":   15American International College\n",
       ":   15Anderson University\n",
       ":   15Andrews University\n",
       ":   15Angelo State University\n",
       ":   3Antioch University\n",
       ":   15Aquinas College\n",
       ":   15Arizona State University Main campus\n",
       ":   3Assumption College\n",
       ":   15Auburn University-Main Campus\n",
       ":   3Augsburg College\n",
       ":   15Austin College\n",
       ":   15Averett College\n",
       ":   15Baker University\n",
       ":   15Baldwin-Wallace College\n",
       ":   15Barat College\n",
       ":   15Bard College\n",
       ":   15Barnard College\n",
       ":   15Barry University\n",
       ":   15Baylor University\n",
       ":   3Bellarmine College\n",
       ":   15Belmont University\n",
       ":   13Bemidji State University\n",
       ":   3Benedictine College\n",
       ":   15Bennington College\n",
       ":   15Bentley College\n",
       ":   6Berry College\n",
       ":   15Bethany College\n",
       ":   15Bethel College KS\n",
       ":   15Bethel College\n",
       ":   14Birmingham-Southern College\n",
       ":   15Blackburn College\n",
       ":   14Bloomsburg Univ. of Pennsylvania\n",
       ":   3Bluefield College\n",
       ":   14Bluffton College\n",
       ":   15Boston University\n",
       ":   5Bowdoin College\n",
       ":   15Bowling Green State University\n",
       ":   3Bradford College\n",
       ":   15Bradley University\n",
       ":   6Brandeis University\n",
       ":   15Brenau University\n",
       ":   15Brewton-Parker College\n",
       ":   10Briar Cliff College\n",
       ":   15Brown University\n",
       ":   6Buena Vista College\n",
       ":   15Butler University\n",
       ":   15Cabrini College\n",
       ":   15California State University at Fresno\n",
       ":   3Calvin College\n",
       ":   3Campbellsville College\n",
       ":   14Capitol College\n",
       ":   15Carleton College\n",
       ":   15Carnegie Mellon University\n",
       ":   6Carroll College\n",
       ":   15Carthage College\n",
       ":   15Case Western Reserve University\n",
       ":   6Castleton State College\n",
       ":   10Catawba College\n",
       ":   15Cazenovia College\n",
       ":   15Cedarville College\n",
       ":   13Centenary College\n",
       ":   15Centenary College of Louisiana\n",
       ":   15Center for Creative Studies\n",
       ":   15Central College\n",
       ":   15Central Connecticut State University\n",
       ":   3Central Missouri State University\n",
       ":   3Central Washington University\n",
       ":   3Centre College\n",
       ":   15Chapman University\n",
       ":   15Chatham College\n",
       ":   15Christendom College\n",
       ":   15Christian Brothers University\n",
       ":   15Christopher Newport University\n",
       ":   10Claflin College\n",
       ":   13Claremont McKenna College\n",
       ":   15Clark University\n",
       ":   15Clarke College\n",
       ":   15Clarkson University\n",
       ":   15Clemson University\n",
       ":   3<span style=white-space:pre-wrap>&lt;span style=white-space:pre-wrap&gt;Clinch Valley Coll. of  the Univ. of Virginia&lt;/span&gt;</span>\n",
       ":   10Coker College\n",
       ":   15Colby College\n",
       ":   15Colgate University\n",
       ":   15College Misericordia\n",
       ":   15College of Mount St. Joseph\n",
       ":   15College of Notre Dame\n",
       ":   15College of Notre Dame of Maryland\n",
       ":   15College of Saint Benedict\n",
       ":   15College of St. Joseph\n",
       ":   15College of St. Scholastica\n",
       ":   15College of the Holy Cross\n",
       ":   15College of William and Mary\n",
       ":   6College of Wooster\n",
       ":   15Colorado College\n",
       ":   15Colorado State University\n",
       ":   3Columbia College MO\n",
       ":   15Columbia College\n",
       ":   15Columbia University\n",
       ":   6Concordia Lutheran College\n",
       ":   14Concordia University CA\n",
       ":   15Concordia University\n",
       ":   15Connecticut College\n",
       ":   15Converse College\n",
       ":   15Cornell College\n",
       ":   15Creighton University\n",
       ":   3Culver-Stockton College\n",
       ":   15Cumberland College\n",
       ":   13D'Youville College\n",
       ":   15Dana College\n",
       ":   15Dartmouth College\n",
       ":   6Davidson College\n",
       ":   15Denison University\n",
       ":   15Dickinson College\n",
       ":   15Dickinson State University\n",
       ":   10Doane College\n",
       ":   15Dominican College of Blauvelt\n",
       ":   15Dordt College\n",
       ":   15Dowling College\n",
       ":   15Drake University\n",
       ":   6Drew University\n",
       ":   15Drury College\n",
       ":   15Duke University\n",
       ":   6East Carolina University\n",
       ":   3East Tennessee State University\n",
       ":   3East Texas Baptist University\n",
       ":   10Eastern College\n",
       ":   15Eastern Connecticut State University\n",
       ":   10Eastern Illinois University\n",
       ":   3Eastern Mennonite College\n",
       ":   15Eastern Nazarene College\n",
       ":   15Eckerd College\n",
       ":   15Elms College\n",
       ":   15Embry Riddle Aeronautical University\n",
       ":   3Emory &amp;amp; Henry College\n",
       ":   15Emporia State University\n",
       ":   3Erskine College\n",
       ":   15Evergreen State College\n",
       ":   3Fairfield University\n",
       ":   15Fayetteville State University\n",
       ":   10Ferrum College\n",
       ":   15Flagler College\n",
       ":   13Florida International University\n",
       ":   3Florida Southern College\n",
       ":   15Florida State University\n",
       ":   3Fontbonne College\n",
       ":   15Fort Lewis College\n",
       ":   3Franklin College\n",
       ":   15Fresno Pacific College\n",
       ":   15Gannon University\n",
       ":   15Gardner Webb University\n",
       ":   15Geneva College\n",
       ":   15George Fox College\n",
       ":   15George Mason University\n",
       ":   5George Washington University\n",
       ":   6Georgetown College\n",
       ":   15Georgetown University\n",
       ":   6Georgia Institute of Technology\n",
       ":   3Georgia State University\n",
       ":   3Georgian Court College\n",
       ":   15Gettysburg College\n",
       ":   15Goldey Beacom College\n",
       ":   14Gonzaga University\n",
       ":   15Gordon College\n",
       ":   15Goshen College\n",
       ":   15Grace College and Seminary\n",
       ":   15Graceland College\n",
       ":   15Grand Valley State University\n",
       ":   3Greensboro College\n",
       ":   15Greenville College\n",
       ":   15Grinnell College\n",
       ":   15Grove City College\n",
       ":   12Guilford College\n",
       ":   15Gustavus Adolphus College\n",
       ":   15Hamilton College\n",
       ":   15Hampden - Sydney College\n",
       ":   15Hampton University\n",
       ":   3Hanover College\n",
       ":   15Hardin-Simmons University\n",
       ":   13Hartwick College\n",
       ":   15Harvard University\n",
       ":   6Harvey Mudd College\n",
       ":   15Hastings College\n",
       ":   15Hendrix College\n",
       ":   15Hillsdale College\n",
       ":   15Hobart and William Smith Colleges\n",
       ":   15Hofstra University\n",
       ":   6Hollins College\n",
       ":   15Hood College\n",
       ":   15Hope College\n",
       ":   15Houghton College\n",
       ":   15Huntingdon College\n",
       ":   15Huron University\n",
       ":   14Husson College\n",
       ":   14Illinois College\n",
       ":   15Illinois Institute of Technology\n",
       ":   15Illinois State University\n",
       ":   3Illinois Wesleyan University\n",
       ":   15Immaculata College\n",
       ":   15Incarnate Word College\n",
       ":   15Indiana State University\n",
       ":   3Indiana Wesleyan University\n",
       ":   15Iona College\n",
       ":   6Iowa State University\n",
       ":   3Ithaca College\n",
       ":   6James Madison University\n",
       ":   3Jersey City State College\n",
       ":   3John Brown University\n",
       ":   13John Carroll University\n",
       ":   6Johnson State College\n",
       ":   10Judson College\n",
       ":   15Juniata College\n",
       ":   15Kansas State University\n",
       ":   3Kansas Wesleyan University\n",
       ":   15Keene State College\n",
       ":   3Kentucky Wesleyan College\n",
       ":   15Kenyon College\n",
       ":   15Keuka College\n",
       ":   15King's College\n",
       ":   15King College\n",
       ":   15Knox College\n",
       ":   15La Roche College\n",
       ":   15La Salle University\n",
       ":   15LaGrange College\n",
       ":   14Lake Forest College\n",
       ":   15Lamar University\n",
       ":   3Lambuth University\n",
       ":   14Lander University\n",
       ":   10Lawrence University\n",
       ":   15Le Moyne College\n",
       ":   15Lebanon Valley College\n",
       ":   15Lehigh University\n",
       ":   6Lenoir-Rhyne College\n",
       ":   15Lesley College\n",
       ":   15LeTourneau University\n",
       ":   15Lewis University\n",
       ":   15Lincoln Memorial University\n",
       ":   14Lincoln University\n",
       ":   10Linfield College\n",
       ":   15Livingstone College\n",
       ":   14Lock Haven University of Pennsylvania\n",
       ":   3Longwood College\n",
       ":   10Loras College\n",
       ":   15Louisiana Tech University\n",
       ":   3Loyola College\n",
       ":   6Loyola University\n",
       ":   15Luther College\n",
       ":   15Lycoming College\n",
       ":   15Lynchburg College\n",
       ":   15Lyndon State College\n",
       ":   10Macalester College\n",
       ":   15MacMurray College\n",
       ":   15Malone College\n",
       ":   15Manchester College\n",
       ":   15Manhattan College\n",
       ":   15Manhattanville College\n",
       ":   15Mankato State University\n",
       ":   3Marian College of Fond du Lac\n",
       ":   15Marietta College\n",
       ":   15Marist College\n",
       ":   6Marquette University\n",
       ":   6Marshall University\n",
       ":   3Mary Washington College\n",
       ":   3Marymount College Tarrytown\n",
       ":   15Marymount University\n",
       ":   15Maryville College\n",
       ":   15Maryville University\n",
       ":   15Massachusetts Institute of Technology\n",
       ":   6Mayville State University\n",
       ":   14McKendree College\n",
       ":   14McMurry University\n",
       ":   14McPherson College\n",
       ":   15Mercer University\n",
       ":   15Mercyhurst College\n",
       ":   15Meredith College\n",
       ":   13Merrimack College\n",
       ":   15Mesa State College\n",
       ":   3Messiah College\n",
       ":   15Miami University at Oxford\n",
       ":   3Michigan State University\n",
       ":   3MidAmerica Nazarene College\n",
       ":   10Millersville University of Penn.\n",
       ":   3Milligan College\n",
       ":   15Millikin University\n",
       ":   15Millsaps College\n",
       ":   15Mississippi College\n",
       ":   13Mississippi State University\n",
       ":   3Missouri Southern State College\n",
       ":   3Missouri Valley College\n",
       ":   15Monmouth College\n",
       ":   15Montana College of Mineral Sci. &amp;amp; Tech.\n",
       ":   12Montana State University\n",
       ":   3Montclair State University\n",
       ":   3Montreat-Anderson College\n",
       ":   15Moorhead State University\n",
       ":   3Moravian College\n",
       ":   15Morehouse College\n",
       ":   13Morningside College\n",
       ":   15Morris College\n",
       ":   14Mount Holyoke College\n",
       ":   15Mount Marty College\n",
       ":   14Mount Mary College\n",
       ":   15Mount Mercy College\n",
       ":   15Mount Saint Mary's College\n",
       ":   15Mount Saint Mary College\n",
       ":   10Mount St. Mary's College\n",
       ":   15Mount Union College\n",
       ":   15Mount Vernon Nazarene College\n",
       ":   13Muhlenberg College\n",
       ":   15Muskingum College\n",
       ":   15National-Louis University\n",
       ":   15Nazareth College of Rochester\n",
       ":   15New Jersey Institute of Technology\n",
       ":   3New Mexico Institute of Mining and Tech.\n",
       ":   12New York University\n",
       ":   5Newberry College\n",
       ":   15Niagara University\n",
       ":   15North Adams State College\n",
       ":   10North Carolina State University at Raleigh\n",
       ":   3North Carolina Wesleyan College\n",
       ":   15North Central College\n",
       ":   15North Dakota State University\n",
       ":   3North Park College\n",
       ":   15Northeast Missouri State University\n",
       ":   3Northern Arizona University\n",
       ":   3Northwest Missouri State University\n",
       ":   3Northwest Nazarene College\n",
       ":   15Northwestern College\n",
       ":   15Northwestern University\n",
       ":   6Oakland University\n",
       ":   3Oberlin College\n",
       ":   15Occidental College\n",
       ":   15Oglethorpe University\n",
       ":   15Ohio University\n",
       ":   3Ohio Wesleyan University\n",
       ":   15Oklahoma Baptist University\n",
       ":   13Oklahoma Christian University\n",
       ":   13Oklahoma State University\n",
       ":   3Otterbein College\n",
       ":   15Ouachita Baptist University\n",
       ":   12Pace University\n",
       ":   6Pacific Lutheran University\n",
       ":   15Pacific Union College\n",
       ":   15Pembroke State University\n",
       ":   10Pennsylvania State Univ. Main Campus\n",
       ":   3Pepperdine University\n",
       ":   15Peru State College\n",
       ":   10Pfeiffer College\n",
       ":   15Philadelphia Coll. of Textiles and Sci.\n",
       ":   15Phillips University\n",
       ":   15Piedmont College\n",
       ":   14Pikeville College\n",
       ":   14Pitzer College\n",
       ":   15Point Loma Nazarene College\n",
       ":   15Polytechnic University\n",
       ":   15Prairie View A. and M. University\n",
       ":   3Presbyterian College\n",
       ":   15Princeton University\n",
       ":   6Providence College\n",
       ":   6Purdue University at West Lafayette\n",
       ":   3Queens College\n",
       ":   15Quinnipiac College\n",
       ":   15Radford University\n",
       ":   3Ramapo College of New Jersey\n",
       ":   10Randolph-Macon College\n",
       ":   15Reed College\n",
       ":   15Regis College\n",
       ":   15Rensselaer Polytechnic Institute\n",
       ":   6Rhodes College\n",
       ":   15Rider University\n",
       ":   15Rivier College\n",
       ":   15Roanoke College\n",
       ":   15Rockhurst College\n",
       ":   15Rocky Mountain College\n",
       ":   15Rollins College\n",
       ":   15Rosary College\n",
       ":   15Rowan College of New Jersey\n",
       ":   3Rutgers at New Brunswick\n",
       ":   3Rutgers State University at Camden\n",
       ":   12Rutgers State University at Newark\n",
       ":   3Sacred Heart University\n",
       ":   15Saint Francis College IN\n",
       ":   15Saint Francis College\n",
       ":   15Saint John's University\n",
       ":   15Saint Joseph's College IN\n",
       ":   15Saint Joseph's College\n",
       ":   15Saint Joseph's University\n",
       ":   15Saint Louis University\n",
       ":   6Saint Mary's College of Minnesota\n",
       ":   15Saint Michael's College\n",
       ":   15Saint Vincent College\n",
       ":   15Salem-Teikyo University\n",
       ":   15Salem College\n",
       ":   15Salisbury State University\n",
       ":   3Samford University\n",
       ":   15San Diego State University\n",
       ":   3Santa Clara University\n",
       ":   6Savannah Coll. of Art and Design\n",
       ":   15Schreiner College\n",
       ":   15Scripps College\n",
       ":   15Seattle Pacific University\n",
       ":   15Seton Hill College\n",
       ":   15Shippensburg University of Penn.\n",
       ":   3Shorter College\n",
       ":   13Siena College\n",
       ":   15Siena Heights College\n",
       ":   15Simmons College\n",
       ":   15Skidmore College\n",
       ":   15Smith College\n",
       ":   15Southeastern Oklahoma State Univ.\n",
       ":   13Southern Illinois University at Edwardsville\n",
       ":   3Southern Methodist University\n",
       ":   6Southwest Baptist University\n",
       ":   10Southwest State University\n",
       ":   10Southwestern Adventist College\n",
       ":   14Southwestern College\n",
       ":   14Southwestern University\n",
       ":   15Spalding University\n",
       ":   15Spring Arbor College\n",
       ":   15St. John Fisher College\n",
       ":   15St. Lawrence University\n",
       ":   15St. Martin's College\n",
       ":   15St. Mary's College of Maryland\n",
       ":   12St. Mary's University of San Antonio\n",
       ":   15St. Norbert College\n",
       ":   15St. Paul's College\n",
       ":   14St. Thomas Aquinas College\n",
       ":   15Stephens College\n",
       ":   15Stetson University\n",
       ":   15Stonehill College\n",
       ":   15SUNY at Albany\n",
       ":   3SUNY at Binghamton\n",
       ":   3SUNY at Buffalo\n",
       ":   3<span style=white-space:pre-wrap>&lt;span style=white-space:pre-wrap&gt;SUNY College  at Brockport&lt;/span&gt;</span>\n",
       ":   3<span style=white-space:pre-wrap>&lt;span style=white-space:pre-wrap&gt;SUNY College  at Oswego&lt;/span&gt;</span>\n",
       ":   3SUNY College at Buffalo\n",
       ":   3SUNY College at Cortland\n",
       ":   3SUNY College at Fredonia\n",
       ":   3SUNY College at Geneseo\n",
       ":   3SUNY College at New Paltz\n",
       ":   3SUNY College at Plattsburgh\n",
       ":   3SUNY College at Potsdam\n",
       ":   3SUNY College at Purchase\n",
       ":   10Susquehanna University\n",
       ":   15Sweet Briar College\n",
       ":   15Syracuse University\n",
       ":   5Tabor College\n",
       ":   14Talladega College\n",
       ":   14Taylor University\n",
       ":   15Tennessee Wesleyan College\n",
       ":   14Texas A&amp;amp;M University at Galveston\n",
       ":   13Texas Christian University\n",
       ":   3Texas Lutheran College\n",
       ":   14Texas Wesleyan University\n",
       ":   13Thiel College\n",
       ":   15Tiffin University\n",
       ":   14Trenton State College\n",
       ":   3Tri-State University\n",
       ":   15Trinity College CT\n",
       ":   15Trinity College DC\n",
       ":   15Trinity College VT\n",
       ":   15Trinity University\n",
       ":   15Tulane University\n",
       ":   6Tusculum College\n",
       ":   10Tuskegee University\n",
       ":   13Union College KY\n",
       ":   14Univ. of Wisconsin at OshKosh\n",
       ":   3University of Arkansas at Fayetteville\n",
       ":   3University of California at Berkeley\n",
       ":   5University of California at Irvine\n",
       ":   5University of Charleston\n",
       ":   15University of Chicago\n",
       ":   6University of Cincinnati\n",
       ":   3University of Connecticut at Storrs\n",
       ":   5University of Dallas\n",
       ":   15University of Dayton\n",
       ":   6University of Delaware\n",
       ":   3University of Denver\n",
       ":   15University of Detroit Mercy\n",
       ":   15University of Dubuque\n",
       ":   15University of Evansville\n",
       ":   15University of Georgia\n",
       ":   3University of Hartford\n",
       ":   6University of Hawaii at Manoa\n",
       ":   3University of Illinois - Urbana\n",
       ":   3University of Illinois at Chicago\n",
       ":   3University of Indianapolis\n",
       ":   15University of Kansas\n",
       ":   3University of La Verne\n",
       ":   15University of Louisville\n",
       ":   3University of Maine at Farmington\n",
       ":   13University of Maine at Presque Isle\n",
       ":   10University of Maryland at Baltimore County\n",
       ":   3University of Massachusetts at Amherst\n",
       ":   3University of Miami\n",
       ":   6University of Minnesota Twin Cities\n",
       ":   3University of Mississippi\n",
       ":   3University of Missouri at Columbia\n",
       ":   3University of Missouri at Rolla\n",
       ":   3University of Missouri at Saint Louis\n",
       ":   3University of Mobile\n",
       ":   13University of Montevallo\n",
       ":   12University of Nebraska at Lincoln\n",
       ":   3University of New England\n",
       ":   15University of New Hampshire\n",
       ":   5University of North Carolina at Asheville\n",
       ":   12University of North Carolina at Greensboro\n",
       ":   3University of North Carolina at Wilmington\n",
       ":   3University of North Dakota\n",
       ":   3University of North Florida\n",
       ":   3University of North Texas\n",
       ":   3University of Northern Colorado\n",
       ":   3University of Notre Dame\n",
       ":   6University of Oklahoma\n",
       ":   3University of Pennsylvania\n",
       ":   6University of Portland\n",
       ":   15University of Rhode Island\n",
       ":   3University of Richmond\n",
       ":   15University of Rochester\n",
       ":   6University of San Diego\n",
       ":   6University of San Francisco\n",
       ":   6University of Sci. and Arts of Oklahoma\n",
       ":   13University of Scranton\n",
       ":   6University of South Carolina at Aiken\n",
       ":   10University of South Carolina at Columbia\n",
       ":   3University of South Florida\n",
       ":   3University of Southern California\n",
       ":   5University of Southern Colorado\n",
       ":   3University of Southern Indiana\n",
       ":   3University of Southern Mississippi\n",
       ":   3University of St. Thomas MN\n",
       ":   6University of St. Thomas TX\n",
       ":   15University of Tennessee at Knoxville\n",
       ":   3University of Texas at Austin\n",
       ":   3University of Texas at San Antonio\n",
       ":   3University of the Pacific\n",
       ":   15University of the South\n",
       ":   15University of Tulsa\n",
       ":   15University of Vermont\n",
       ":   6University of Virginia\n",
       ":   5University of Washington\n",
       ":   3University of West Florida\n",
       ":   3University of Wisconsin-Stout\n",
       ":   3University of Wisconsin-Superior\n",
       ":   10University of Wisconsin-Whitewater\n",
       ":   3University of Wisconsin at Green Bay\n",
       ":   3University of Wisconsin at Madison\n",
       ":   3University of Wisconsin at Milwaukee\n",
       ":   3University of Wyoming\n",
       ":   3Upper Iowa University\n",
       ":   15Ursinus College\n",
       ":   15Ursuline College\n",
       ":   15Valley City State University\n",
       ":   14Valparaiso University\n",
       ":   15Vanderbilt University\n",
       ":   6Vassar College\n",
       ":   15Virginia Commonwealth University\n",
       ":   3Virginia State University\n",
       ":   3Virginia Tech\n",
       ":   3Virginia Union University\n",
       ":   13Virginia Wesleyan College\n",
       ":   15Viterbo College\n",
       ":   15Voorhees College\n",
       ":   14Wabash College\n",
       ":   15Wagner College\n",
       ":   15Wake Forest University\n",
       ":   6Walsh University\n",
       ":   15Warren Wilson College\n",
       ":   15Washington and Jefferson College\n",
       ":   15Washington and Lee University\n",
       ":   15Washington College\n",
       ":   15Washington State University\n",
       ":   3Wayne State College\n",
       ":   10Waynesburg College\n",
       ":   15Webber College\n",
       ":   14Webster University\n",
       ":   15Wellesley College\n",
       ":   15Wells College\n",
       ":   15Wentworth Institute of Technology\n",
       ":   15Wesley College\n",
       ":   15Wesleyan University\n",
       ":   15West Chester University of Penn.\n",
       ":   3West Virginia Wesleyan College\n",
       ":   15Western Maryland College\n",
       ":   15Western New England College\n",
       ":   15Western State College of Colorado\n",
       ":   10Western Washington University\n",
       ":   3Westminster College MO\n",
       ":   15Westminster College\n",
       ":   15Westminster College of Salt Lake City\n",
       ":   15Westmont College\n",
       ":   15Wheaton College IL\n",
       ":   15Westminster College PA\n",
       ":   15Whitman College\n",
       ":   15Whitworth College\n",
       ":   15Widener University\n",
       ":   15Wilkes University\n",
       ":   15William Jewell College\n",
       ":   15William Woods University\n",
       ":   15Williams College\n",
       ":   15Wilson College\n",
       ":   15Wingate College\n",
       ":   10Winona State University\n",
       ":   3Winthrop University\n",
       ":   3Wisconsin Lutheran College\n",
       ":   15Wittenberg University\n",
       ":   15Worcester Polytechnic Institute\n",
       ":   15Worcester State College\n",
       ":   3Xavier University of Louisiana\n",
       ":   13York College of Pennsylvania\n",
       ":   13\n",
       "\n"
      ],
      "text/plain": [
       "                 Abilene Christian University \n",
       "                                           13 \n",
       "                           Adelphi University \n",
       "                                           15 \n",
       "                               Adrian College \n",
       "                                           15 \n",
       "                          Agnes Scott College \n",
       "                                           15 \n",
       "                    Alaska Pacific University \n",
       "                                           14 \n",
       "                            Albertson College \n",
       "                                           15 \n",
       "                      Albertus Magnus College \n",
       "                                           15 \n",
       "                               Albion College \n",
       "                                           15 \n",
       "                             Albright College \n",
       "                                           15 \n",
       "                    Alderson-Broaddus College \n",
       "                                           15 \n",
       "                            Allegheny College \n",
       "                                           15 \n",
       "      Allentown Coll. of St. Francis de Sales \n",
       "                                           15 \n",
       "                              Alverno College \n",
       "                                           15 \n",
       "               American International College \n",
       "                                           15 \n",
       "                          Anderson University \n",
       "                                           15 \n",
       "                           Andrews University \n",
       "                                           15 \n",
       "                      Angelo State University \n",
       "                                            3 \n",
       "                           Antioch University \n",
       "                                           15 \n",
       "                              Aquinas College \n",
       "                                           15 \n",
       "         Arizona State University Main campus \n",
       "                                            3 \n",
       "                           Assumption College \n",
       "                                           15 \n",
       "                Auburn University-Main Campus \n",
       "                                            3 \n",
       "                             Augsburg College \n",
       "                                           15 \n",
       "                               Austin College \n",
       "                                           15 \n",
       "                              Averett College \n",
       "                                           15 \n",
       "                             Baker University \n",
       "                                           15 \n",
       "                      Baldwin-Wallace College \n",
       "                                           15 \n",
       "                                Barat College \n",
       "                                           15 \n",
       "                                 Bard College \n",
       "                                           15 \n",
       "                              Barnard College \n",
       "                                           15 \n",
       "                             Barry University \n",
       "                                           15 \n",
       "                            Baylor University \n",
       "                                            3 \n",
       "                           Bellarmine College \n",
       "                                           15 \n",
       "                           Belmont University \n",
       "                                           13 \n",
       "                     Bemidji State University \n",
       "                                            3 \n",
       "                          Benedictine College \n",
       "                                           15 \n",
       "                           Bennington College \n",
       "                                           15 \n",
       "                              Bentley College \n",
       "                                            6 \n",
       "                                Berry College \n",
       "                                           15 \n",
       "                              Bethany College \n",
       "                                           15 \n",
       "                            Bethel College KS \n",
       "                                           15 \n",
       "                               Bethel College \n",
       "                                           14 \n",
       "                  Birmingham-Southern College \n",
       "                                           15 \n",
       "                            Blackburn College \n",
       "                                           14 \n",
       "             Bloomsburg Univ. of Pennsylvania \n",
       "                                            3 \n",
       "                            Bluefield College \n",
       "                                           14 \n",
       "                             Bluffton College \n",
       "                                           15 \n",
       "                            Boston University \n",
       "                                            5 \n",
       "                              Bowdoin College \n",
       "                                           15 \n",
       "               Bowling Green State University \n",
       "                                            3 \n",
       "                             Bradford College \n",
       "                                           15 \n",
       "                           Bradley University \n",
       "                                            6 \n",
       "                          Brandeis University \n",
       "                                           15 \n",
       "                            Brenau University \n",
       "                                           15 \n",
       "                       Brewton-Parker College \n",
       "                                           10 \n",
       "                          Briar Cliff College \n",
       "                                           15 \n",
       "                             Brown University \n",
       "                                            6 \n",
       "                          Buena Vista College \n",
       "                                           15 \n",
       "                            Butler University \n",
       "                                           15 \n",
       "                              Cabrini College \n",
       "                                           15 \n",
       "        California State University at Fresno \n",
       "                                            3 \n",
       "                               Calvin College \n",
       "                                            3 \n",
       "                       Campbellsville College \n",
       "                                           14 \n",
       "                              Capitol College \n",
       "                                           15 \n",
       "                             Carleton College \n",
       "                                           15 \n",
       "                   Carnegie Mellon University \n",
       "                                            6 \n",
       "                              Carroll College \n",
       "                                           15 \n",
       "                             Carthage College \n",
       "                                           15 \n",
       "              Case Western Reserve University \n",
       "                                            6 \n",
       "                      Castleton State College \n",
       "                                           10 \n",
       "                              Catawba College \n",
       "                                           15 \n",
       "                            Cazenovia College \n",
       "                                           15 \n",
       "                           Cedarville College \n",
       "                                           13 \n",
       "                            Centenary College \n",
       "                                           15 \n",
       "               Centenary College of Louisiana \n",
       "                                           15 \n",
       "                  Center for Creative Studies \n",
       "                                           15 \n",
       "                              Central College \n",
       "                                           15 \n",
       "         Central Connecticut State University \n",
       "                                            3 \n",
       "            Central Missouri State University \n",
       "                                            3 \n",
       "                Central Washington University \n",
       "                                            3 \n",
       "                               Centre College \n",
       "                                           15 \n",
       "                           Chapman University \n",
       "                                           15 \n",
       "                              Chatham College \n",
       "                                           15 \n",
       "                          Christendom College \n",
       "                                           15 \n",
       "                Christian Brothers University \n",
       "                                           15 \n",
       "               Christopher Newport University \n",
       "                                           10 \n",
       "                              Claflin College \n",
       "                                           13 \n",
       "                    Claremont McKenna College \n",
       "                                           15 \n",
       "                             Clark University \n",
       "                                           15 \n",
       "                               Clarke College \n",
       "                                           15 \n",
       "                          Clarkson University \n",
       "                                           15 \n",
       "                           Clemson University \n",
       "                                            3 \n",
       "Clinch Valley Coll. of  the Univ. of Virginia \n",
       "                                           10 \n",
       "                                Coker College \n",
       "                                           15 \n",
       "                                Colby College \n",
       "                                           15 \n",
       "                           Colgate University \n",
       "                                           15 \n",
       "                         College Misericordia \n",
       "                                           15 \n",
       "                  College of Mount St. Joseph \n",
       "                                           15 \n",
       "                        College of Notre Dame \n",
       "                                           15 \n",
       "            College of Notre Dame of Maryland \n",
       "                                           15 \n",
       "                    College of Saint Benedict \n",
       "                                           15 \n",
       "                        College of St. Joseph \n",
       "                                           15 \n",
       "                   College of St. Scholastica \n",
       "                                           15 \n",
       "                    College of the Holy Cross \n",
       "                                           15 \n",
       "                  College of William and Mary \n",
       "                                            6 \n",
       "                           College of Wooster \n",
       "                                           15 \n",
       "                             Colorado College \n",
       "                                           15 \n",
       "                    Colorado State University \n",
       "                                            3 \n",
       "                          Columbia College MO \n",
       "                                           15 \n",
       "                             Columbia College \n",
       "                                           15 \n",
       "                          Columbia University \n",
       "                                            6 \n",
       "                   Concordia Lutheran College \n",
       "                                           14 \n",
       "                      Concordia University CA \n",
       "                                           15 \n",
       "                         Concordia University \n",
       "                                           15 \n",
       "                          Connecticut College \n",
       "                                           15 \n",
       "                             Converse College \n",
       "                                           15 \n",
       "                              Cornell College \n",
       "                                           15 \n",
       "                         Creighton University \n",
       "                                            3 \n",
       "                      Culver-Stockton College \n",
       "                                           15 \n",
       "                           Cumberland College \n",
       "                                           13 \n",
       "                           D'Youville College \n",
       "                                           15 \n",
       "                                 Dana College \n",
       "                                           15 \n",
       "                            Dartmouth College \n",
       "                                            6 \n",
       "                             Davidson College \n",
       "                                           15 \n",
       "                           Denison University \n",
       "                                           15 \n",
       "                            Dickinson College \n",
       "                                           15 \n",
       "                   Dickinson State University \n",
       "                                           10 \n",
       "                                Doane College \n",
       "                                           15 \n",
       "                Dominican College of Blauvelt \n",
       "                                           15 \n",
       "                                Dordt College \n",
       "                                           15 \n",
       "                              Dowling College \n",
       "                                           15 \n",
       "                             Drake University \n",
       "                                            6 \n",
       "                              Drew University \n",
       "                                           15 \n",
       "                                Drury College \n",
       "                                           15 \n",
       "                              Duke University \n",
       "                                            6 \n",
       "                     East Carolina University \n",
       "                                            3 \n",
       "              East Tennessee State University \n",
       "                                            3 \n",
       "                East Texas Baptist University \n",
       "                                           10 \n",
       "                              Eastern College \n",
       "                                           15 \n",
       "         Eastern Connecticut State University \n",
       "                                           10 \n",
       "                  Eastern Illinois University \n",
       "                                            3 \n",
       "                    Eastern Mennonite College \n",
       "                                           15 \n",
       "                     Eastern Nazarene College \n",
       "                                           15 \n",
       "                               Eckerd College \n",
       "                                           15 \n",
       "                                 Elms College \n",
       "                                           15 \n",
       "         Embry Riddle Aeronautical University \n",
       "                                            3 \n",
       "                        Emory & Henry College \n",
       "                                           15 \n",
       "                     Emporia State University \n",
       "                                            3 \n",
       "                              Erskine College \n",
       "                                           15 \n",
       "                      Evergreen State College \n",
       "                                            3 \n",
       "                         Fairfield University \n",
       "                                           15 \n",
       "                Fayetteville State University \n",
       "                                           10 \n",
       "                               Ferrum College \n",
       "                                           15 \n",
       "                              Flagler College \n",
       "                                           13 \n",
       "             Florida International University \n",
       "                                            3 \n",
       "                     Florida Southern College \n",
       "                                           15 \n",
       "                     Florida State University \n",
       "                                            3 \n",
       "                            Fontbonne College \n",
       "                                           15 \n",
       "                           Fort Lewis College \n",
       "                                            3 \n",
       "                             Franklin College \n",
       "                                           15 \n",
       "                       Fresno Pacific College \n",
       "                                           15 \n",
       "                            Gannon University \n",
       "                                           15 \n",
       "                      Gardner Webb University \n",
       "                                           15 \n",
       "                               Geneva College \n",
       "                                           15 \n",
       "                           George Fox College \n",
       "                                           15 \n",
       "                      George Mason University \n",
       "                                            5 \n",
       "                 George Washington University \n",
       "                                            6 \n",
       "                           Georgetown College \n",
       "                                           15 \n",
       "                        Georgetown University \n",
       "                                            6 \n",
       "              Georgia Institute of Technology \n",
       "                                            3 \n",
       "                     Georgia State University \n",
       "                                            3 \n",
       "                       Georgian Court College \n",
       "                                           15 \n",
       "                           Gettysburg College \n",
       "                                           15 \n",
       "                        Goldey Beacom College \n",
       "                                           14 \n",
       "                           Gonzaga University \n",
       "                                           15 \n",
       "                               Gordon College \n",
       "                                           15 \n",
       "                               Goshen College \n",
       "                                           15 \n",
       "                   Grace College and Seminary \n",
       "                                           15 \n",
       "                            Graceland College \n",
       "                                           15 \n",
       "                Grand Valley State University \n",
       "                                            3 \n",
       "                           Greensboro College \n",
       "                                           15 \n",
       "                           Greenville College \n",
       "                                           15 \n",
       "                             Grinnell College \n",
       "                                           15 \n",
       "                           Grove City College \n",
       "                                           12 \n",
       "                             Guilford College \n",
       "                                           15 \n",
       "                    Gustavus Adolphus College \n",
       "                                           15 \n",
       "                             Hamilton College \n",
       "                                           15 \n",
       "                     Hampden - Sydney College \n",
       "                                           15 \n",
       "                           Hampton University \n",
       "                                            3 \n",
       "                              Hanover College \n",
       "                                           15 \n",
       "                    Hardin-Simmons University \n",
       "                                           13 \n",
       "                             Hartwick College \n",
       "                                           15 \n",
       "                           Harvard University \n",
       "                                            6 \n",
       "                          Harvey Mudd College \n",
       "                                           15 \n",
       "                             Hastings College \n",
       "                                           15 \n",
       "                              Hendrix College \n",
       "                                           15 \n",
       "                            Hillsdale College \n",
       "                                           15 \n",
       "            Hobart and William Smith Colleges \n",
       "                                           15 \n",
       "                           Hofstra University \n",
       "                                            6 \n",
       "                              Hollins College \n",
       "                                           15 \n",
       "                                 Hood College \n",
       "                                           15 \n",
       "                                 Hope College \n",
       "                                           15 \n",
       "                             Houghton College \n",
       "                                           15 \n",
       "                           Huntingdon College \n",
       "                                           15 \n",
       "                             Huron University \n",
       "                                           14 \n",
       "                               Husson College \n",
       "                                           14 \n",
       "                             Illinois College \n",
       "                                           15 \n",
       "             Illinois Institute of Technology \n",
       "                                           15 \n",
       "                    Illinois State University \n",
       "                                            3 \n",
       "                 Illinois Wesleyan University \n",
       "                                           15 \n",
       "                           Immaculata College \n",
       "                                           15 \n",
       "                       Incarnate Word College \n",
       "                                           15 \n",
       "                     Indiana State University \n",
       "                                            3 \n",
       "                  Indiana Wesleyan University \n",
       "                                           15 \n",
       "                                 Iona College \n",
       "                                            6 \n",
       "                        Iowa State University \n",
       "                                            3 \n",
       "                               Ithaca College \n",
       "                                            6 \n",
       "                     James Madison University \n",
       "                                            3 \n",
       "                    Jersey City State College \n",
       "                                            3 \n",
       "                        John Brown University \n",
       "                                           13 \n",
       "                      John Carroll University \n",
       "                                            6 \n",
       "                        Johnson State College \n",
       "                                           10 \n",
       "                               Judson College \n",
       "                                           15 \n",
       "                              Juniata College \n",
       "                                           15 \n",
       "                      Kansas State University \n",
       "                                            3 \n",
       "                   Kansas Wesleyan University \n",
       "                                           15 \n",
       "                          Keene State College \n",
       "                                            3 \n",
       "                    Kentucky Wesleyan College \n",
       "                                           15 \n",
       "                               Kenyon College \n",
       "                                           15 \n",
       "                                Keuka College \n",
       "                                           15 \n",
       "                               King's College \n",
       "                                           15 \n",
       "                                 King College \n",
       "                                           15 \n",
       "                                 Knox College \n",
       "                                           15 \n",
       "                             La Roche College \n",
       "                                           15 \n",
       "                          La Salle University \n",
       "                                           15 \n",
       "                             LaGrange College \n",
       "                                           14 \n",
       "                          Lake Forest College \n",
       "                                           15 \n",
       "                             Lamar University \n",
       "                                            3 \n",
       "                           Lambuth University \n",
       "                                           14 \n",
       "                            Lander University \n",
       "                                           10 \n",
       "                          Lawrence University \n",
       "                                           15 \n",
       "                             Le Moyne College \n",
       "                                           15 \n",
       "                       Lebanon Valley College \n",
       "                                           15 \n",
       "                            Lehigh University \n",
       "                                            6 \n",
       "                         Lenoir-Rhyne College \n",
       "                                           15 \n",
       "                               Lesley College \n",
       "                                           15 \n",
       "                        LeTourneau University \n",
       "                                           15 \n",
       "                             Lewis University \n",
       "                                           15 \n",
       "                  Lincoln Memorial University \n",
       "                                           14 \n",
       "                           Lincoln University \n",
       "                                           10 \n",
       "                             Linfield College \n",
       "                                           15 \n",
       "                          Livingstone College \n",
       "                                           14 \n",
       "        Lock Haven University of Pennsylvania \n",
       "                                            3 \n",
       "                             Longwood College \n",
       "                                           10 \n",
       "                                Loras College \n",
       "                                           15 \n",
       "                    Louisiana Tech University \n",
       "                                            3 \n",
       "                               Loyola College \n",
       "                                            6 \n",
       "                            Loyola University \n",
       "                                           15 \n",
       "                               Luther College \n",
       "                                           15 \n",
       "                             Lycoming College \n",
       "                                           15 \n",
       "                            Lynchburg College \n",
       "                                           15 \n",
       "                         Lyndon State College \n",
       "                                           10 \n",
       "                           Macalester College \n",
       "                                           15 \n",
       "                            MacMurray College \n",
       "                                           15 \n",
       "                               Malone College \n",
       "                                           15 \n",
       "                           Manchester College \n",
       "                                           15 \n",
       "                            Manhattan College \n",
       "                                           15 \n",
       "                       Manhattanville College \n",
       "                                           15 \n",
       "                     Mankato State University \n",
       "                                            3 \n",
       "                Marian College of Fond du Lac \n",
       "                                           15 \n",
       "                             Marietta College \n",
       "                                           15 \n",
       "                               Marist College \n",
       "                                            6 \n",
       "                         Marquette University \n",
       "                                            6 \n",
       "                          Marshall University \n",
       "                                            3 \n",
       "                      Mary Washington College \n",
       "                                            3 \n",
       "                  Marymount College Tarrytown \n",
       "                                           15 \n",
       "                         Marymount University \n",
       "                                           15 \n",
       "                            Maryville College \n",
       "                                           15 \n",
       "                         Maryville University \n",
       "                                           15 \n",
       "        Massachusetts Institute of Technology \n",
       "                                            6 \n",
       "                    Mayville State University \n",
       "                                           14 \n",
       "                            McKendree College \n",
       "                                           14 \n",
       "                           McMurry University \n",
       "                                           14 \n",
       "                            McPherson College \n",
       "                                           15 \n",
       "                            Mercer University \n",
       "                                           15 \n",
       "                           Mercyhurst College \n",
       "                                           15 \n",
       "                             Meredith College \n",
       "                                           13 \n",
       "                            Merrimack College \n",
       "                                           15 \n",
       "                           Mesa State College \n",
       "                                            3 \n",
       "                              Messiah College \n",
       "                                           15 \n",
       "                   Miami University at Oxford \n",
       "                                            3 \n",
       "                    Michigan State University \n",
       "                                            3 \n",
       "                  MidAmerica Nazarene College \n",
       "                                           10 \n",
       "             Millersville University of Penn. \n",
       "                                            3 \n",
       "                             Milligan College \n",
       "                                           15 \n",
       "                          Millikin University \n",
       "                                           15 \n",
       "                             Millsaps College \n",
       "                                           15 \n",
       "                          Mississippi College \n",
       "                                           13 \n",
       "                 Mississippi State University \n",
       "                                            3 \n",
       "              Missouri Southern State College \n",
       "                                            3 \n",
       "                      Missouri Valley College \n",
       "                                           15 \n",
       "                             Monmouth College \n",
       "                                           15 \n",
       "      Montana College of Mineral Sci. & Tech. \n",
       "                                           12 \n",
       "                     Montana State University \n",
       "                                            3 \n",
       "                   Montclair State University \n",
       "                                            3 \n",
       "                    Montreat-Anderson College \n",
       "                                           15 \n",
       "                    Moorhead State University \n",
       "                                            3 \n",
       "                             Moravian College \n",
       "                                           15 \n",
       "                            Morehouse College \n",
       "                                           13 \n",
       "                          Morningside College \n",
       "                                           15 \n",
       "                               Morris College \n",
       "                                           14 \n",
       "                        Mount Holyoke College \n",
       "                                           15 \n",
       "                          Mount Marty College \n",
       "                                           14 \n",
       "                           Mount Mary College \n",
       "                                           15 \n",
       "                          Mount Mercy College \n",
       "                                           15 \n",
       "                   Mount Saint Mary's College \n",
       "                                           15 \n",
       "                     Mount Saint Mary College \n",
       "                                           10 \n",
       "                     Mount St. Mary's College \n",
       "                                           15 \n",
       "                          Mount Union College \n",
       "                                           15 \n",
       "                Mount Vernon Nazarene College \n",
       "                                           13 \n",
       "                           Muhlenberg College \n",
       "                                           15 \n",
       "                            Muskingum College \n",
       "                                           15 \n",
       "                    National-Louis University \n",
       "                                           15 \n",
       "                Nazareth College of Rochester \n",
       "                                           15 \n",
       "           New Jersey Institute of Technology \n",
       "                                            3 \n",
       "     New Mexico Institute of Mining and Tech. \n",
       "                                           12 \n",
       "                          New York University \n",
       "                                            5 \n",
       "                             Newberry College \n",
       "                                           15 \n",
       "                           Niagara University \n",
       "                                           15 \n",
       "                    North Adams State College \n",
       "                                           10 \n",
       "   North Carolina State University at Raleigh \n",
       "                                            3 \n",
       "              North Carolina Wesleyan College \n",
       "                                           15 \n",
       "                        North Central College \n",
       "                                           15 \n",
       "                North Dakota State University \n",
       "                                            3 \n",
       "                           North Park College \n",
       "                                           15 \n",
       "          Northeast Missouri State University \n",
       "                                            3 \n",
       "                  Northern Arizona University \n",
       "                                            3 \n",
       "          Northwest Missouri State University \n",
       "                                            3 \n",
       "                   Northwest Nazarene College \n",
       "                                           15 \n",
       "                         Northwestern College \n",
       "                                           15 \n",
       "                      Northwestern University \n",
       "                                            6 \n",
       "                           Oakland University \n",
       "                                            3 \n",
       "                              Oberlin College \n",
       "                                           15 \n",
       "                           Occidental College \n",
       "                                           15 \n",
       "                        Oglethorpe University \n",
       "                                           15 \n",
       "                              Ohio University \n",
       "                                            3 \n",
       "                     Ohio Wesleyan University \n",
       "                                           15 \n",
       "                  Oklahoma Baptist University \n",
       "                                           13 \n",
       "                Oklahoma Christian University \n",
       "                                           13 \n",
       "                    Oklahoma State University \n",
       "                                            3 \n",
       "                            Otterbein College \n",
       "                                           15 \n",
       "                  Ouachita Baptist University \n",
       "                                           12 \n",
       "                              Pace University \n",
       "                                            6 \n",
       "                  Pacific Lutheran University \n",
       "                                           15 \n",
       "                        Pacific Union College \n",
       "                                           15 \n",
       "                    Pembroke State University \n",
       "                                           10 \n",
       "         Pennsylvania State Univ. Main Campus \n",
       "                                            3 \n",
       "                        Pepperdine University \n",
       "                                           15 \n",
       "                           Peru State College \n",
       "                                           10 \n",
       "                             Pfeiffer College \n",
       "                                           15 \n",
       "      Philadelphia Coll. of Textiles and Sci. \n",
       "                                           15 \n",
       "                          Phillips University \n",
       "                                           15 \n",
       "                             Piedmont College \n",
       "                                           14 \n",
       "                            Pikeville College \n",
       "                                           14 \n",
       "                               Pitzer College \n",
       "                                           15 \n",
       "                  Point Loma Nazarene College \n",
       "                                           15 \n",
       "                       Polytechnic University \n",
       "                                           15 \n",
       "            Prairie View A. and M. University \n",
       "                                            3 \n",
       "                         Presbyterian College \n",
       "                                           15 \n",
       "                         Princeton University \n",
       "                                            6 \n",
       "                           Providence College \n",
       "                                            6 \n",
       "          Purdue University at West Lafayette \n",
       "                                            3 \n",
       "                               Queens College \n",
       "                                           15 \n",
       "                           Quinnipiac College \n",
       "                                           15 \n",
       "                           Radford University \n",
       "                                            3 \n",
       "                 Ramapo College of New Jersey \n",
       "                                           10 \n",
       "                       Randolph-Macon College \n",
       "                                           15 \n",
       "                                 Reed College \n",
       "                                           15 \n",
       "                                Regis College \n",
       "                                           15 \n",
       "             Rensselaer Polytechnic Institute \n",
       "                                            6 \n",
       "                               Rhodes College \n",
       "                                           15 \n",
       "                             Rider University \n",
       "                                           15 \n",
       "                               Rivier College \n",
       "                                           15 \n",
       "                              Roanoke College \n",
       "                                           15 \n",
       "                            Rockhurst College \n",
       "                                           15 \n",
       "                       Rocky Mountain College \n",
       "                                           15 \n",
       "                              Rollins College \n",
       "                                           15 \n",
       "                               Rosary College \n",
       "                                           15 \n",
       "                  Rowan College of New Jersey \n",
       "                                            3 \n",
       "                     Rutgers at New Brunswick \n",
       "                                            3 \n",
       "           Rutgers State University at Camden \n",
       "                                           12 \n",
       "           Rutgers State University at Newark \n",
       "                                            3 \n",
       "                      Sacred Heart University \n",
       "                                           15 \n",
       "                     Saint Francis College IN \n",
       "                                           15 \n",
       "                        Saint Francis College \n",
       "                                           15 \n",
       "                      Saint John's University \n",
       "                                           15 \n",
       "                    Saint Joseph's College IN \n",
       "                                           15 \n",
       "                       Saint Joseph's College \n",
       "                                           15 \n",
       "                    Saint Joseph's University \n",
       "                                           15 \n",
       "                       Saint Louis University \n",
       "                                            6 \n",
       "            Saint Mary's College of Minnesota \n",
       "                                           15 \n",
       "                      Saint Michael's College \n",
       "                                           15 \n",
       "                        Saint Vincent College \n",
       "                                           15 \n",
       "                      Salem-Teikyo University \n",
       "                                           15 \n",
       "                                Salem College \n",
       "                                           15 \n",
       "                   Salisbury State University \n",
       "                                            3 \n",
       "                           Samford University \n",
       "                                           15 \n",
       "                   San Diego State University \n",
       "                                            3 \n",
       "                       Santa Clara University \n",
       "                                            6 \n",
       "             Savannah Coll. of Art and Design \n",
       "                                           15 \n",
       "                            Schreiner College \n",
       "                                           15 \n",
       "                              Scripps College \n",
       "                                           15 \n",
       "                   Seattle Pacific University \n",
       "                                           15 \n",
       "                           Seton Hill College \n",
       "                                           15 \n",
       "             Shippensburg University of Penn. \n",
       "                                            3 \n",
       "                              Shorter College \n",
       "                                           13 \n",
       "                                Siena College \n",
       "                                           15 \n",
       "                        Siena Heights College \n",
       "                                           15 \n",
       "                              Simmons College \n",
       "                                           15 \n",
       "                             Skidmore College \n",
       "                                           15 \n",
       "                                Smith College \n",
       "                                           15 \n",
       "            Southeastern Oklahoma State Univ. \n",
       "                                           13 \n",
       " Southern Illinois University at Edwardsville \n",
       "                                            3 \n",
       "                Southern Methodist University \n",
       "                                            6 \n",
       "                 Southwest Baptist University \n",
       "                                           10 \n",
       "                   Southwest State University \n",
       "                                           10 \n",
       "               Southwestern Adventist College \n",
       "                                           14 \n",
       "                         Southwestern College \n",
       "                                           14 \n",
       "                      Southwestern University \n",
       "                                           15 \n",
       "                          Spalding University \n",
       "                                           15 \n",
       "                         Spring Arbor College \n",
       "                                           15 \n",
       "                      St. John Fisher College \n",
       "                                           15 \n",
       "                      St. Lawrence University \n",
       "                                           15 \n",
       "                         St. Martin's College \n",
       "                                           15 \n",
       "               St. Mary's College of Maryland \n",
       "                                           12 \n",
       "         St. Mary's University of San Antonio \n",
       "                                           15 \n",
       "                          St. Norbert College \n",
       "                                           15 \n",
       "                           St. Paul's College \n",
       "                                           14 \n",
       "                   St. Thomas Aquinas College \n",
       "                                           15 \n",
       "                             Stephens College \n",
       "                                           15 \n",
       "                           Stetson University \n",
       "                                           15 \n",
       "                            Stonehill College \n",
       "                                           15 \n",
       "                               SUNY at Albany \n",
       "                                            3 \n",
       "                           SUNY at Binghamton \n",
       "                                            3 \n",
       "                              SUNY at Buffalo \n",
       "                                            3 \n",
       "                   SUNY College  at Brockport \n",
       "                                            3 \n",
       "                      SUNY College  at Oswego \n",
       "                                            3 \n",
       "                      SUNY College at Buffalo \n",
       "                                            3 \n",
       "                     SUNY College at Cortland \n",
       "                                            3 \n",
       "                     SUNY College at Fredonia \n",
       "                                            3 \n",
       "                      SUNY College at Geneseo \n",
       "                                            3 \n",
       "                    SUNY College at New Paltz \n",
       "                                            3 \n",
       "                  SUNY College at Plattsburgh \n",
       "                                            3 \n",
       "                      SUNY College at Potsdam \n",
       "                                            3 \n",
       "                     SUNY College at Purchase \n",
       "                                           10 \n",
       "                       Susquehanna University \n",
       "                                           15 \n",
       "                          Sweet Briar College \n",
       "                                           15 \n",
       "                          Syracuse University \n",
       "                                            5 \n",
       "                                Tabor College \n",
       "                                           14 \n",
       "                            Talladega College \n",
       "                                           14 \n",
       "                            Taylor University \n",
       "                                           15 \n",
       "                   Tennessee Wesleyan College \n",
       "                                           14 \n",
       "            Texas A&M University at Galveston \n",
       "                                           13 \n",
       "                   Texas Christian University \n",
       "                                            3 \n",
       "                       Texas Lutheran College \n",
       "                                           14 \n",
       "                    Texas Wesleyan University \n",
       "                                           13 \n",
       "                                Thiel College \n",
       "                                           15 \n",
       "                            Tiffin University \n",
       "                                           14 \n",
       "                        Trenton State College \n",
       "                                            3 \n",
       "                         Tri-State University \n",
       "                                           15 \n",
       "                           Trinity College CT \n",
       "                                           15 \n",
       "                           Trinity College DC \n",
       "                                           15 \n",
       "                           Trinity College VT \n",
       "                                           15 \n",
       "                           Trinity University \n",
       "                                           15 \n",
       "                            Tulane University \n",
       "                                            6 \n",
       "                             Tusculum College \n",
       "                                           10 \n",
       "                          Tuskegee University \n",
       "                                           13 \n",
       "                             Union College KY \n",
       "                                           14 \n",
       "                Univ. of Wisconsin at OshKosh \n",
       "                                            3 \n",
       "       University of Arkansas at Fayetteville \n",
       "                                            3 \n",
       "         University of California at Berkeley \n",
       "                                            5 \n",
       "           University of California at Irvine \n",
       "                                            5 \n",
       "                     University of Charleston \n",
       "                                           15 \n",
       "                        University of Chicago \n",
       "                                            6 \n",
       "                     University of Cincinnati \n",
       "                                            3 \n",
       "          University of Connecticut at Storrs \n",
       "                                            5 \n",
       "                         University of Dallas \n",
       "                                           15 \n",
       "                         University of Dayton \n",
       "                                            6 \n",
       "                       University of Delaware \n",
       "                                            3 \n",
       "                         University of Denver \n",
       "                                           15 \n",
       "                  University of Detroit Mercy \n",
       "                                           15 \n",
       "                        University of Dubuque \n",
       "                                           15 \n",
       "                     University of Evansville \n",
       "                                           15 \n",
       "                        University of Georgia \n",
       "                                            3 \n",
       "                       University of Hartford \n",
       "                                            6 \n",
       "                University of Hawaii at Manoa \n",
       "                                            3 \n",
       "              University of Illinois - Urbana \n",
       "                                            3 \n",
       "            University of Illinois at Chicago \n",
       "                                            3 \n",
       "                   University of Indianapolis \n",
       "                                           15 \n",
       "                         University of Kansas \n",
       "                                            3 \n",
       "                       University of La Verne \n",
       "                                           15 \n",
       "                     University of Louisville \n",
       "                                            3 \n",
       "            University of Maine at Farmington \n",
       "                                           13 \n",
       "          University of Maine at Presque Isle \n",
       "                                           10 \n",
       "   University of Maryland at Baltimore County \n",
       "                                            3 \n",
       "       University of Massachusetts at Amherst \n",
       "                                            3 \n",
       "                          University of Miami \n",
       "                                            6 \n",
       "          University of Minnesota Twin Cities \n",
       "                                            3 \n",
       "                    University of Mississippi \n",
       "                                            3 \n",
       "           University of Missouri at Columbia \n",
       "                                            3 \n",
       "              University of Missouri at Rolla \n",
       "                                            3 \n",
       "        University of Missouri at Saint Louis \n",
       "                                            3 \n",
       "                         University of Mobile \n",
       "                                           13 \n",
       "                     University of Montevallo \n",
       "                                           12 \n",
       "            University of Nebraska at Lincoln \n",
       "                                            3 \n",
       "                    University of New England \n",
       "                                           15 \n",
       "                  University of New Hampshire \n",
       "                                            5 \n",
       "    University of North Carolina at Asheville \n",
       "                                           12 \n",
       "   University of North Carolina at Greensboro \n",
       "                                            3 \n",
       "   University of North Carolina at Wilmington \n",
       "                                            3 \n",
       "                   University of North Dakota \n",
       "                                            3 \n",
       "                  University of North Florida \n",
       "                                            3 \n",
       "                    University of North Texas \n",
       "                                            3 \n",
       "              University of Northern Colorado \n",
       "                                            3 \n",
       "                     University of Notre Dame \n",
       "                                            6 \n",
       "                       University of Oklahoma \n",
       "                                            3 \n",
       "                   University of Pennsylvania \n",
       "                                            6 \n",
       "                       University of Portland \n",
       "                                           15 \n",
       "                   University of Rhode Island \n",
       "                                            3 \n",
       "                       University of Richmond \n",
       "                                           15 \n",
       "                      University of Rochester \n",
       "                                            6 \n",
       "                      University of San Diego \n",
       "                                            6 \n",
       "                  University of San Francisco \n",
       "                                            6 \n",
       "      University of Sci. and Arts of Oklahoma \n",
       "                                           13 \n",
       "                       University of Scranton \n",
       "                                            6 \n",
       "        University of South Carolina at Aiken \n",
       "                                           10 \n",
       "     University of South Carolina at Columbia \n",
       "                                            3 \n",
       "                  University of South Florida \n",
       "                                            3 \n",
       "            University of Southern California \n",
       "                                            5 \n",
       "              University of Southern Colorado \n",
       "                                            3 \n",
       "               University of Southern Indiana \n",
       "                                            3 \n",
       "           University of Southern Mississippi \n",
       "                                            3 \n",
       "                  University of St. Thomas MN \n",
       "                                            6 \n",
       "                  University of St. Thomas TX \n",
       "                                           15 \n",
       "         University of Tennessee at Knoxville \n",
       "                                            3 \n",
       "                University of Texas at Austin \n",
       "                                            3 \n",
       "           University of Texas at San Antonio \n",
       "                                            3 \n",
       "                    University of the Pacific \n",
       "                                           15 \n",
       "                      University of the South \n",
       "                                           15 \n",
       "                          University of Tulsa \n",
       "                                           15 \n",
       "                        University of Vermont \n",
       "                                            6 \n",
       "                       University of Virginia \n",
       "                                            5 \n",
       "                     University of Washington \n",
       "                                            3 \n",
       "                   University of West Florida \n",
       "                                            3 \n",
       "                University of Wisconsin-Stout \n",
       "                                            3 \n",
       "             University of Wisconsin-Superior \n",
       "                                           10 \n",
       "           University of Wisconsin-Whitewater \n",
       "                                            3 \n",
       "         University of Wisconsin at Green Bay \n",
       "                                            3 \n",
       "           University of Wisconsin at Madison \n",
       "                                            3 \n",
       "         University of Wisconsin at Milwaukee \n",
       "                                            3 \n",
       "                        University of Wyoming \n",
       "                                            3 \n",
       "                        Upper Iowa University \n",
       "                                           15 \n",
       "                              Ursinus College \n",
       "                                           15 \n",
       "                             Ursuline College \n",
       "                                           15 \n",
       "                 Valley City State University \n",
       "                                           14 \n",
       "                        Valparaiso University \n",
       "                                           15 \n",
       "                        Vanderbilt University \n",
       "                                            6 \n",
       "                               Vassar College \n",
       "                                           15 \n",
       "             Virginia Commonwealth University \n",
       "                                            3 \n",
       "                    Virginia State University \n",
       "                                            3 \n",
       "                                Virginia Tech \n",
       "                                            3 \n",
       "                    Virginia Union University \n",
       "                                           13 \n",
       "                    Virginia Wesleyan College \n",
       "                                           15 \n",
       "                              Viterbo College \n",
       "                                           15 \n",
       "                             Voorhees College \n",
       "                                           14 \n",
       "                               Wabash College \n",
       "                                           15 \n",
       "                               Wagner College \n",
       "                                           15 \n",
       "                       Wake Forest University \n",
       "                                            6 \n",
       "                             Walsh University \n",
       "                                           15 \n",
       "                        Warren Wilson College \n",
       "                                           15 \n",
       "             Washington and Jefferson College \n",
       "                                           15 \n",
       "                Washington and Lee University \n",
       "                                           15 \n",
       "                           Washington College \n",
       "                                           15 \n",
       "                  Washington State University \n",
       "                                            3 \n",
       "                          Wayne State College \n",
       "                                           10 \n",
       "                           Waynesburg College \n",
       "                                           15 \n",
       "                               Webber College \n",
       "                                           14 \n",
       "                           Webster University \n",
       "                                           15 \n",
       "                            Wellesley College \n",
       "                                           15 \n",
       "                                Wells College \n",
       "                                           15 \n",
       "            Wentworth Institute of Technology \n",
       "                                           15 \n",
       "                               Wesley College \n",
       "                                           15 \n",
       "                          Wesleyan University \n",
       "                                           15 \n",
       "             West Chester University of Penn. \n",
       "                                            3 \n",
       "               West Virginia Wesleyan College \n",
       "                                           15 \n",
       "                     Western Maryland College \n",
       "                                           15 \n",
       "                  Western New England College \n",
       "                                           15 \n",
       "            Western State College of Colorado \n",
       "                                           10 \n",
       "                Western Washington University \n",
       "                                            3 \n",
       "                       Westminster College MO \n",
       "                                           15 \n",
       "                          Westminster College \n",
       "                                           15 \n",
       "        Westminster College of Salt Lake City \n",
       "                                           15 \n",
       "                             Westmont College \n",
       "                                           15 \n",
       "                           Wheaton College IL \n",
       "                                           15 \n",
       "                       Westminster College PA \n",
       "                                           15 \n",
       "                              Whitman College \n",
       "                                           15 \n",
       "                            Whitworth College \n",
       "                                           15 \n",
       "                           Widener University \n",
       "                                           15 \n",
       "                            Wilkes University \n",
       "                                           15 \n",
       "                       William Jewell College \n",
       "                                           15 \n",
       "                     William Woods University \n",
       "                                           15 \n",
       "                             Williams College \n",
       "                                           15 \n",
       "                               Wilson College \n",
       "                                           15 \n",
       "                              Wingate College \n",
       "                                           10 \n",
       "                      Winona State University \n",
       "                                            3 \n",
       "                          Winthrop University \n",
       "                                            3 \n",
       "                   Wisconsin Lutheran College \n",
       "                                           15 \n",
       "                        Wittenberg University \n",
       "                                           15 \n",
       "              Worcester Polytechnic Institute \n",
       "                                           15 \n",
       "                      Worcester State College \n",
       "                                            3 \n",
       "               Xavier University of Louisiana \n",
       "                                           13 \n",
       "                 York College of Pennsylvania \n",
       "                                           13 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tree$where"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<dl>\n",
       "\t<dt>$prior</dt>\n",
       "\t\t<dd><dl class=dl-horizontal>\n",
       "\t<dt>1</dt>\n",
       "\t\t<dd>0.273311897106109</dd>\n",
       "\t<dt>2</dt>\n",
       "\t\t<dd>0.726688102893891</dd>\n",
       "</dl>\n",
       "</dd>\n",
       "\t<dt>$loss</dt>\n",
       "\t\t<dd><table>\n",
       "<tbody>\n",
       "\t<tr><td>0</td><td>1</td></tr>\n",
       "\t<tr><td>1</td><td>0</td></tr>\n",
       "</tbody>\n",
       "</table>\n",
       "</dd>\n",
       "\t<dt>$split</dt>\n",
       "\t\t<dd>1</dd>\n",
       "</dl>\n"
      ],
      "text/latex": [
       "\\begin{description}\n",
       "\\item[\\$prior] \\begin{description*}\n",
       "\\item[1] 0.273311897106109\n",
       "\\item[2] 0.726688102893891\n",
       "\\end{description*}\n",
       "\n",
       "\\item[\\$loss] \\begin{tabular}{ll}\n",
       "\t 0 & 1\\\\\n",
       "\t 1 & 0\\\\\n",
       "\\end{tabular}\n",
       "\n",
       "\\item[\\$split] 1\n",
       "\\end{description}\n"
      ],
      "text/markdown": [
       "$prior\n",
       ":   1\n",
       ":   0.2733118971061092\n",
       ":   0.726688102893891\n",
       "\n",
       "\n",
       "$loss\n",
       ":   \n",
       "| 0 | 1 |\n",
       "| 1 | 0 |\n",
       "\n",
       "\n",
       "$split\n",
       ":   1\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "$prior\n",
       "        1         2 \n",
       "0.2733119 0.7266881 \n",
       "\n",
       "$loss\n",
       "     [,1] [,2]\n",
       "[1,]    0    1\n",
       "[2,]    1    0\n",
       "\n",
       "$split\n",
       "[1] 1\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tree$parms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<dl>\n",
       "\t<dt>$minsplit</dt>\n",
       "\t\t<dd>20</dd>\n",
       "\t<dt>$minbucket</dt>\n",
       "\t\t<dd>7</dd>\n",
       "\t<dt>$cp</dt>\n",
       "\t\t<dd>0.01</dd>\n",
       "\t<dt>$maxcompete</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>$maxsurrogate</dt>\n",
       "\t\t<dd>5</dd>\n",
       "\t<dt>$usesurrogate</dt>\n",
       "\t\t<dd>2</dd>\n",
       "\t<dt>$surrogatestyle</dt>\n",
       "\t\t<dd>0</dd>\n",
       "\t<dt>$maxdepth</dt>\n",
       "\t\t<dd>30</dd>\n",
       "\t<dt>$xval</dt>\n",
       "\t\t<dd>10</dd>\n",
       "</dl>\n"
      ],
      "text/latex": [
       "\\begin{description}\n",
       "\\item[\\$minsplit] 20\n",
       "\\item[\\$minbucket] 7\n",
       "\\item[\\$cp] 0.01\n",
       "\\item[\\$maxcompete] 4\n",
       "\\item[\\$maxsurrogate] 5\n",
       "\\item[\\$usesurrogate] 2\n",
       "\\item[\\$surrogatestyle] 0\n",
       "\\item[\\$maxdepth] 30\n",
       "\\item[\\$xval] 10\n",
       "\\end{description}\n"
      ],
      "text/markdown": [
       "$minsplit\n",
       ":   20\n",
       "$minbucket\n",
       ":   7\n",
       "$cp\n",
       ":   0.01\n",
       "$maxcompete\n",
       ":   4\n",
       "$maxsurrogate\n",
       ":   5\n",
       "$usesurrogate\n",
       ":   2\n",
       "$surrogatestyle\n",
       ":   0\n",
       "$maxdepth\n",
       ":   30\n",
       "$xval\n",
       ":   10\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "$minsplit\n",
       "[1] 20\n",
       "\n",
       "$minbucket\n",
       "[1] 7\n",
       "\n",
       "$cp\n",
       "[1] 0.01\n",
       "\n",
       "$maxcompete\n",
       "[1] 4\n",
       "\n",
       "$maxsurrogate\n",
       "[1] 5\n",
       "\n",
       "$usesurrogate\n",
       "[1] 2\n",
       "\n",
       "$surrogatestyle\n",
       "[1] 0\n",
       "\n",
       "$maxdepth\n",
       "[1] 30\n",
       "\n",
       "$xval\n",
       "[1] 10\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tree$control"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "4"
      ],
      "text/latex": [
       "4"
      ],
      "text/markdown": [
       "4"
      ],
      "text/plain": [
       "[1] 4"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tree$numresp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>count</th><th scope=col>ncat</th><th scope=col>improve</th><th scope=col>index</th><th scope=col>adj</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>F.Undergrad</th><td>622        </td><td> 1         </td><td>104.5873565</td><td> 2992.50   </td><td>0.0000000  </td></tr>\n",
       "\t<tr><th scope=row>Outstate</th><td>622        </td><td>-1         </td><td> 93.6639261</td><td> 7997.00   </td><td>0.0000000  </td></tr>\n",
       "\t<tr><th scope=row>Enroll</th><td>622        </td><td> 1         </td><td> 81.1071218</td><td>  723.00   </td><td>0.0000000  </td></tr>\n",
       "\t<tr><th scope=row>P.Undergrad</th><td>622        </td><td> 1         </td><td> 69.9312282</td><td>  863.50   </td><td>0.0000000  </td></tr>\n",
       "\t<tr><th scope=row>S.F.Ratio</th><td>622        </td><td> 1         </td><td> 69.1663145</td><td>   14.85   </td><td>0.0000000  </td></tr>\n",
       "\t<tr><th scope=row>Enroll</th><td>  0        </td><td> 1         </td><td>  0.9614148</td><td>  733.00   </td><td>0.8736842  </td></tr>\n",
       "\t<tr><th scope=row>Accept</th><td>  0        </td><td> 1         </td><td>  0.9340836</td><td> 2039.50   </td><td>0.7842105  </td></tr>\n",
       "\t<tr><th scope=row>Apps</th><td>  0        </td><td> 1         </td><td>  0.9067524</td><td> 3065.50   </td><td>0.6947368  </td></tr>\n",
       "\t<tr><th scope=row>P.Undergrad</th><td>  0        </td><td> 1         </td><td>  0.8167203</td><td> 1309.50   </td><td>0.4000000  </td></tr>\n",
       "\t<tr><th scope=row>S.F.Ratio</th><td>  0        </td><td> 1         </td><td>  0.7524116</td><td>   17.45   </td><td>0.1894737  </td></tr>\n",
       "\t<tr><th scope=row>Outstate</th><td>190        </td><td>-1         </td><td> 49.4333156</td><td>10674.00   </td><td>0.0000000  </td></tr>\n",
       "\t<tr><th scope=row>Room.Board</th><td>190        </td><td>-1         </td><td> 39.4008902</td><td> 5460.50   </td><td>0.0000000  </td></tr>\n",
       "\t<tr><th scope=row>Expend</th><td>190        </td><td>-1         </td><td> 27.9083512</td><td>13927.50   </td><td>0.0000000  </td></tr>\n",
       "\t<tr><th scope=row>S.F.Ratio</th><td>190        </td><td> 1         </td><td> 25.3467485</td><td>   15.05   </td><td>0.0000000  </td></tr>\n",
       "\t<tr><th scope=row>Grad.Rate</th><td>190        </td><td>-1         </td><td> 23.3029928</td><td>   65.50   </td><td>0.0000000  </td></tr>\n",
       "\t<tr><th scope=row>Room.Board</th><td>  0        </td><td>-1         </td><td>  0.8947368</td><td> 5460.50   </td><td>0.6363636  </td></tr>\n",
       "\t<tr><th scope=row>Expend</th><td>  0        </td><td>-1         </td><td>  0.8473684</td><td>13904.00   </td><td>0.4727273  </td></tr>\n",
       "\t<tr><th scope=row>Grad.Rate</th><td>  0        </td><td>-1         </td><td>  0.8210526</td><td>   76.50   </td><td>0.3818182  </td></tr>\n",
       "\t<tr><th scope=row>S.F.Ratio</th><td>  0        </td><td> 1         </td><td>  0.8157895</td><td>   10.75   </td><td>0.3636364  </td></tr>\n",
       "\t<tr><th scope=row>Top10perc</th><td>  0        </td><td>-1         </td><td>  0.8105263</td><td>   52.50   </td><td>0.3454545  </td></tr>\n",
       "\t<tr><th scope=row>F.Undergrad</th><td> 55        </td><td> 1         </td><td>  5.0505051</td><td> 9366.50   </td><td>0.0000000  </td></tr>\n",
       "\t<tr><th scope=row>Enroll</th><td> 55        </td><td> 1         </td><td>  4.7215078</td><td> 1706.00   </td><td>0.0000000  </td></tr>\n",
       "\t<tr><th scope=row>Accept</th><td> 55        </td><td> 1         </td><td>  3.6195872</td><td> 5934.00   </td><td>0.0000000  </td></tr>\n",
       "\t<tr><th scope=row>S.F.Ratio</th><td> 55        </td><td> 1         </td><td>  3.6195872</td><td>   15.70   </td><td>0.0000000  </td></tr>\n",
       "\t<tr><th scope=row>Outstate</th><td> 55        </td><td>-1         </td><td>  3.1712258</td><td>12492.00   </td><td>0.0000000  </td></tr>\n",
       "\t<tr><th scope=row>Accept</th><td>  0        </td><td> 1         </td><td>  0.9636364</td><td> 6597.50   </td><td>0.8000000  </td></tr>\n",
       "\t<tr><th scope=row>Enroll</th><td>  0        </td><td> 1         </td><td>  0.9636364</td><td> 1985.00   </td><td>0.8000000  </td></tr>\n",
       "\t<tr><th scope=row>Apps</th><td>  0        </td><td> 1         </td><td>  0.8909091</td><td>14781.50   </td><td>0.4000000  </td></tr>\n",
       "\t<tr><th scope=row>P.Undergrad</th><td>  0        </td><td> 1         </td><td>  0.8727273</td><td> 1597.00   </td><td>0.3000000  </td></tr>\n",
       "\t<tr><th scope=row>Room.Board</th><td>  0        </td><td>-1         </td><td>  0.8545455</td><td> 3949.50   </td><td>0.2000000  </td></tr>\n",
       "\t<tr><th scope=row>...</th><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td></tr>\n",
       "\t<tr><th scope=row>F.Undergrad</th><td>94       </td><td> 1       </td><td>8.6865134</td><td> 955.00  </td><td>0.0000000</td></tr>\n",
       "\t<tr><th scope=row>PhD</th><td>94       </td><td> 1       </td><td>6.5021720</td><td>  70.50  </td><td>0.0000000</td></tr>\n",
       "\t<tr><th scope=row>Outstate</th><td>94       </td><td>-1       </td><td>5.7872963</td><td>4944.00  </td><td>0.0000000</td></tr>\n",
       "\t<tr><th scope=row>Enroll</th><td>94       </td><td> 1       </td><td>5.7451644</td><td> 198.00  </td><td>0.0000000</td></tr>\n",
       "\t<tr><th scope=row>Room.Board</th><td>94       </td><td> 1       </td><td>5.5323599</td><td>4620.00  </td><td>0.0000000</td></tr>\n",
       "\t<tr><th scope=row>Enroll</th><td> 0       </td><td> 1       </td><td>0.8723404</td><td> 220.00  </td><td>0.6250000</td></tr>\n",
       "\t<tr><th scope=row>Accept</th><td> 0       </td><td> 1       </td><td>0.7659574</td><td> 402.50  </td><td>0.3125000</td></tr>\n",
       "\t<tr><th scope=row>Apps</th><td> 0       </td><td> 1       </td><td>0.7553191</td><td> 378.00  </td><td>0.2812500</td></tr>\n",
       "\t<tr><th scope=row>S.F.Ratio</th><td> 0       </td><td> 1       </td><td>0.7340426</td><td>  12.15  </td><td>0.2187500</td></tr>\n",
       "\t<tr><th scope=row>PhD</th><td> 0       </td><td> 1       </td><td>0.7234043</td><td>  46.50  </td><td>0.1875000</td></tr>\n",
       "\t<tr><th scope=row>Top10perc</th><td>62       </td><td>-1       </td><td>6.4076583</td><td>  15.50  </td><td>0.0000000</td></tr>\n",
       "\t<tr><th scope=row>Grad.Rate</th><td>62       </td><td>-1       </td><td>5.6904692</td><td>  57.50  </td><td>0.0000000</td></tr>\n",
       "\t<tr><th scope=row>Top25perc</th><td>62       </td><td>-1       </td><td>5.5546985</td><td>  33.50  </td><td>0.0000000</td></tr>\n",
       "\t<tr><th scope=row>Terminal</th><td>62       </td><td> 1       </td><td>4.9300061</td><td>  85.50  </td><td>0.0000000</td></tr>\n",
       "\t<tr><th scope=row>P.Undergrad</th><td>62       </td><td> 1       </td><td>4.8358346</td><td> 114.50  </td><td>0.0000000</td></tr>\n",
       "\t<tr><th scope=row>Top25perc</th><td> 0       </td><td>-1       </td><td>0.9032258</td><td>  42.00  </td><td>0.7931034</td></tr>\n",
       "\t<tr><th scope=row>Grad.Rate</th><td> 0       </td><td>-1       </td><td>0.6774194</td><td>  52.50  </td><td>0.3103448</td></tr>\n",
       "\t<tr><th scope=row>Expend</th><td> 0       </td><td>-1       </td><td>0.6612903</td><td>6571.00  </td><td>0.2758621</td></tr>\n",
       "\t<tr><th scope=row>Room.Board</th><td> 0       </td><td>-1       </td><td>0.6451613</td><td>2790.00  </td><td>0.2413793</td></tr>\n",
       "\t<tr><th scope=row>P.Undergrad</th><td> 0       </td><td> 1       </td><td>0.6290323</td><td> 416.50  </td><td>0.2068966</td></tr>\n",
       "\t<tr><th scope=row>Top25perc</th><td>33       </td><td> 1       </td><td>4.2193939</td><td>  71.00  </td><td>0.0000000</td></tr>\n",
       "\t<tr><th scope=row>Terminal</th><td>33       </td><td> 1       </td><td>3.0053280</td><td>  80.50  </td><td>0.0000000</td></tr>\n",
       "\t<tr><th scope=row>P.Undergrad</th><td>33       </td><td> 1       </td><td>2.6350461</td><td> 128.00  </td><td>0.0000000</td></tr>\n",
       "\t<tr><th scope=row>Outstate</th><td>33       </td><td>-1       </td><td>2.3778555</td><td>6111.50  </td><td>0.0000000</td></tr>\n",
       "\t<tr><th scope=row>PhD</th><td>33       </td><td> 1       </td><td>2.3778555</td><td>  70.50  </td><td>0.0000000</td></tr>\n",
       "\t<tr><th scope=row>Top10perc</th><td> 0       </td><td> 1       </td><td>0.8484848</td><td>  38.00  </td><td>0.3750000</td></tr>\n",
       "\t<tr><th scope=row>Terminal</th><td> 0       </td><td> 1       </td><td>0.8484848</td><td>  88.50  </td><td>0.3750000</td></tr>\n",
       "\t<tr><th scope=row>PhD</th><td> 0       </td><td> 1       </td><td>0.8181818</td><td>  82.00  </td><td>0.2500000</td></tr>\n",
       "\t<tr><th scope=row>Expend</th><td> 0       </td><td> 1       </td><td>0.8181818</td><td>8782.00  </td><td>0.2500000</td></tr>\n",
       "\t<tr><th scope=row>P.Undergrad</th><td> 0       </td><td> 1       </td><td>0.7878788</td><td> 899.50  </td><td>0.1250000</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllll}\n",
       "  & count & ncat & improve & index & adj\\\\\n",
       "\\hline\n",
       "\tF.Undergrad & 622         &  1          & 104.5873565 &  2992.50    & 0.0000000  \\\\\n",
       "\tOutstate & 622         & -1          &  93.6639261 &  7997.00    & 0.0000000  \\\\\n",
       "\tEnroll & 622         &  1          &  81.1071218 &   723.00    & 0.0000000  \\\\\n",
       "\tP.Undergrad & 622         &  1          &  69.9312282 &   863.50    & 0.0000000  \\\\\n",
       "\tS.F.Ratio & 622         &  1          &  69.1663145 &    14.85    & 0.0000000  \\\\\n",
       "\tEnroll &   0         &  1          &   0.9614148 &   733.00    & 0.8736842  \\\\\n",
       "\tAccept &   0         &  1          &   0.9340836 &  2039.50    & 0.7842105  \\\\\n",
       "\tApps &   0         &  1          &   0.9067524 &  3065.50    & 0.6947368  \\\\\n",
       "\tP.Undergrad &   0         &  1          &   0.8167203 &  1309.50    & 0.4000000  \\\\\n",
       "\tS.F.Ratio &   0         &  1          &   0.7524116 &    17.45    & 0.1894737  \\\\\n",
       "\tOutstate & 190         & -1          &  49.4333156 & 10674.00    & 0.0000000  \\\\\n",
       "\tRoom.Board & 190         & -1          &  39.4008902 &  5460.50    & 0.0000000  \\\\\n",
       "\tExpend & 190         & -1          &  27.9083512 & 13927.50    & 0.0000000  \\\\\n",
       "\tS.F.Ratio & 190         &  1          &  25.3467485 &    15.05    & 0.0000000  \\\\\n",
       "\tGrad.Rate & 190         & -1          &  23.3029928 &    65.50    & 0.0000000  \\\\\n",
       "\tRoom.Board &   0         & -1          &   0.8947368 &  5460.50    & 0.6363636  \\\\\n",
       "\tExpend &   0         & -1          &   0.8473684 & 13904.00    & 0.4727273  \\\\\n",
       "\tGrad.Rate &   0         & -1          &   0.8210526 &    76.50    & 0.3818182  \\\\\n",
       "\tS.F.Ratio &   0         &  1          &   0.8157895 &    10.75    & 0.3636364  \\\\\n",
       "\tTop10perc &   0         & -1          &   0.8105263 &    52.50    & 0.3454545  \\\\\n",
       "\tF.Undergrad &  55         &  1          &   5.0505051 &  9366.50    & 0.0000000  \\\\\n",
       "\tEnroll &  55         &  1          &   4.7215078 &  1706.00    & 0.0000000  \\\\\n",
       "\tAccept &  55         &  1          &   3.6195872 &  5934.00    & 0.0000000  \\\\\n",
       "\tS.F.Ratio &  55         &  1          &   3.6195872 &    15.70    & 0.0000000  \\\\\n",
       "\tOutstate &  55         & -1          &   3.1712258 & 12492.00    & 0.0000000  \\\\\n",
       "\tAccept &   0         &  1          &   0.9636364 &  6597.50    & 0.8000000  \\\\\n",
       "\tEnroll &   0         &  1          &   0.9636364 &  1985.00    & 0.8000000  \\\\\n",
       "\tApps &   0         &  1          &   0.8909091 & 14781.50    & 0.4000000  \\\\\n",
       "\tP.Undergrad &   0         &  1          &   0.8727273 &  1597.00    & 0.3000000  \\\\\n",
       "\tRoom.Board &   0         & -1          &   0.8545455 &  3949.50    & 0.2000000  \\\\\n",
       "\t... & ... & ... & ... & ... & ...\\\\\n",
       "\tF.Undergrad & 94        &  1        & 8.6865134 &  955.00   & 0.0000000\\\\\n",
       "\tPhD & 94        &  1        & 6.5021720 &   70.50   & 0.0000000\\\\\n",
       "\tOutstate & 94        & -1        & 5.7872963 & 4944.00   & 0.0000000\\\\\n",
       "\tEnroll & 94        &  1        & 5.7451644 &  198.00   & 0.0000000\\\\\n",
       "\tRoom.Board & 94        &  1        & 5.5323599 & 4620.00   & 0.0000000\\\\\n",
       "\tEnroll &  0        &  1        & 0.8723404 &  220.00   & 0.6250000\\\\\n",
       "\tAccept &  0        &  1        & 0.7659574 &  402.50   & 0.3125000\\\\\n",
       "\tApps &  0        &  1        & 0.7553191 &  378.00   & 0.2812500\\\\\n",
       "\tS.F.Ratio &  0        &  1        & 0.7340426 &   12.15   & 0.2187500\\\\\n",
       "\tPhD &  0        &  1        & 0.7234043 &   46.50   & 0.1875000\\\\\n",
       "\tTop10perc & 62        & -1        & 6.4076583 &   15.50   & 0.0000000\\\\\n",
       "\tGrad.Rate & 62        & -1        & 5.6904692 &   57.50   & 0.0000000\\\\\n",
       "\tTop25perc & 62        & -1        & 5.5546985 &   33.50   & 0.0000000\\\\\n",
       "\tTerminal & 62        &  1        & 4.9300061 &   85.50   & 0.0000000\\\\\n",
       "\tP.Undergrad & 62        &  1        & 4.8358346 &  114.50   & 0.0000000\\\\\n",
       "\tTop25perc &  0        & -1        & 0.9032258 &   42.00   & 0.7931034\\\\\n",
       "\tGrad.Rate &  0        & -1        & 0.6774194 &   52.50   & 0.3103448\\\\\n",
       "\tExpend &  0        & -1        & 0.6612903 & 6571.00   & 0.2758621\\\\\n",
       "\tRoom.Board &  0        & -1        & 0.6451613 & 2790.00   & 0.2413793\\\\\n",
       "\tP.Undergrad &  0        &  1        & 0.6290323 &  416.50   & 0.2068966\\\\\n",
       "\tTop25perc & 33        &  1        & 4.2193939 &   71.00   & 0.0000000\\\\\n",
       "\tTerminal & 33        &  1        & 3.0053280 &   80.50   & 0.0000000\\\\\n",
       "\tP.Undergrad & 33        &  1        & 2.6350461 &  128.00   & 0.0000000\\\\\n",
       "\tOutstate & 33        & -1        & 2.3778555 & 6111.50   & 0.0000000\\\\\n",
       "\tPhD & 33        &  1        & 2.3778555 &   70.50   & 0.0000000\\\\\n",
       "\tTop10perc &  0        &  1        & 0.8484848 &   38.00   & 0.3750000\\\\\n",
       "\tTerminal &  0        &  1        & 0.8484848 &   88.50   & 0.3750000\\\\\n",
       "\tPhD &  0        &  1        & 0.8181818 &   82.00   & 0.2500000\\\\\n",
       "\tExpend &  0        &  1        & 0.8181818 & 8782.00   & 0.2500000\\\\\n",
       "\tP.Undergrad &  0        &  1        & 0.7878788 &  899.50   & 0.1250000\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | count | ncat | improve | index | adj |\n",
       "|---|---|---|---|---|---|\n",
       "| F.Undergrad | 622         |  1          | 104.5873565 |  2992.50    | 0.0000000   |\n",
       "| Outstate | 622         | -1          |  93.6639261 |  7997.00    | 0.0000000   |\n",
       "| Enroll | 622         |  1          |  81.1071218 |   723.00    | 0.0000000   |\n",
       "| P.Undergrad | 622         |  1          |  69.9312282 |   863.50    | 0.0000000   |\n",
       "| S.F.Ratio | 622         |  1          |  69.1663145 |    14.85    | 0.0000000   |\n",
       "| Enroll |   0         |  1          |   0.9614148 |   733.00    | 0.8736842   |\n",
       "| Accept |   0         |  1          |   0.9340836 |  2039.50    | 0.7842105   |\n",
       "| Apps |   0         |  1          |   0.9067524 |  3065.50    | 0.6947368   |\n",
       "| P.Undergrad |   0         |  1          |   0.8167203 |  1309.50    | 0.4000000   |\n",
       "| S.F.Ratio |   0         |  1          |   0.7524116 |    17.45    | 0.1894737   |\n",
       "| Outstate | 190         | -1          |  49.4333156 | 10674.00    | 0.0000000   |\n",
       "| Room.Board | 190         | -1          |  39.4008902 |  5460.50    | 0.0000000   |\n",
       "| Expend | 190         | -1          |  27.9083512 | 13927.50    | 0.0000000   |\n",
       "| S.F.Ratio | 190         |  1          |  25.3467485 |    15.05    | 0.0000000   |\n",
       "| Grad.Rate | 190         | -1          |  23.3029928 |    65.50    | 0.0000000   |\n",
       "| Room.Board |   0         | -1          |   0.8947368 |  5460.50    | 0.6363636   |\n",
       "| Expend |   0         | -1          |   0.8473684 | 13904.00    | 0.4727273   |\n",
       "| Grad.Rate |   0         | -1          |   0.8210526 |    76.50    | 0.3818182   |\n",
       "| S.F.Ratio |   0         |  1          |   0.8157895 |    10.75    | 0.3636364   |\n",
       "| Top10perc |   0         | -1          |   0.8105263 |    52.50    | 0.3454545   |\n",
       "| F.Undergrad |  55         |  1          |   5.0505051 |  9366.50    | 0.0000000   |\n",
       "| Enroll |  55         |  1          |   4.7215078 |  1706.00    | 0.0000000   |\n",
       "| Accept |  55         |  1          |   3.6195872 |  5934.00    | 0.0000000   |\n",
       "| S.F.Ratio |  55         |  1          |   3.6195872 |    15.70    | 0.0000000   |\n",
       "| Outstate |  55         | -1          |   3.1712258 | 12492.00    | 0.0000000   |\n",
       "| Accept |   0         |  1          |   0.9636364 |  6597.50    | 0.8000000   |\n",
       "| Enroll |   0         |  1          |   0.9636364 |  1985.00    | 0.8000000   |\n",
       "| Apps |   0         |  1          |   0.8909091 | 14781.50    | 0.4000000   |\n",
       "| P.Undergrad |   0         |  1          |   0.8727273 |  1597.00    | 0.3000000   |\n",
       "| Room.Board |   0         | -1          |   0.8545455 |  3949.50    | 0.2000000   |\n",
       "| ... | ... | ... | ... | ... | ... |\n",
       "| F.Undergrad | 94        |  1        | 8.6865134 |  955.00   | 0.0000000 |\n",
       "| PhD | 94        |  1        | 6.5021720 |   70.50   | 0.0000000 |\n",
       "| Outstate | 94        | -1        | 5.7872963 | 4944.00   | 0.0000000 |\n",
       "| Enroll | 94        |  1        | 5.7451644 |  198.00   | 0.0000000 |\n",
       "| Room.Board | 94        |  1        | 5.5323599 | 4620.00   | 0.0000000 |\n",
       "| Enroll |  0        |  1        | 0.8723404 |  220.00   | 0.6250000 |\n",
       "| Accept |  0        |  1        | 0.7659574 |  402.50   | 0.3125000 |\n",
       "| Apps |  0        |  1        | 0.7553191 |  378.00   | 0.2812500 |\n",
       "| S.F.Ratio |  0        |  1        | 0.7340426 |   12.15   | 0.2187500 |\n",
       "| PhD |  0        |  1        | 0.7234043 |   46.50   | 0.1875000 |\n",
       "| Top10perc | 62        | -1        | 6.4076583 |   15.50   | 0.0000000 |\n",
       "| Grad.Rate | 62        | -1        | 5.6904692 |   57.50   | 0.0000000 |\n",
       "| Top25perc | 62        | -1        | 5.5546985 |   33.50   | 0.0000000 |\n",
       "| Terminal | 62        |  1        | 4.9300061 |   85.50   | 0.0000000 |\n",
       "| P.Undergrad | 62        |  1        | 4.8358346 |  114.50   | 0.0000000 |\n",
       "| Top25perc |  0        | -1        | 0.9032258 |   42.00   | 0.7931034 |\n",
       "| Grad.Rate |  0        | -1        | 0.6774194 |   52.50   | 0.3103448 |\n",
       "| Expend |  0        | -1        | 0.6612903 | 6571.00   | 0.2758621 |\n",
       "| Room.Board |  0        | -1        | 0.6451613 | 2790.00   | 0.2413793 |\n",
       "| P.Undergrad |  0        |  1        | 0.6290323 |  416.50   | 0.2068966 |\n",
       "| Top25perc | 33        |  1        | 4.2193939 |   71.00   | 0.0000000 |\n",
       "| Terminal | 33        |  1        | 3.0053280 |   80.50   | 0.0000000 |\n",
       "| P.Undergrad | 33        |  1        | 2.6350461 |  128.00   | 0.0000000 |\n",
       "| Outstate | 33        | -1        | 2.3778555 | 6111.50   | 0.0000000 |\n",
       "| PhD | 33        |  1        | 2.3778555 |   70.50   | 0.0000000 |\n",
       "| Top10perc |  0        |  1        | 0.8484848 |   38.00   | 0.3750000 |\n",
       "| Terminal |  0        |  1        | 0.8484848 |   88.50   | 0.3750000 |\n",
       "| PhD |  0        |  1        | 0.8181818 |   82.00   | 0.2500000 |\n",
       "| Expend |  0        |  1        | 0.8181818 | 8782.00   | 0.2500000 |\n",
       "| P.Undergrad |  0        |  1        | 0.7878788 |  899.50   | 0.1250000 |\n",
       "\n"
      ],
      "text/plain": [
       "            count ncat improve     index    adj      \n",
       "F.Undergrad 622    1   104.5873565  2992.50 0.0000000\n",
       "Outstate    622   -1    93.6639261  7997.00 0.0000000\n",
       "Enroll      622    1    81.1071218   723.00 0.0000000\n",
       "P.Undergrad 622    1    69.9312282   863.50 0.0000000\n",
       "S.F.Ratio   622    1    69.1663145    14.85 0.0000000\n",
       "Enroll        0    1     0.9614148   733.00 0.8736842\n",
       "Accept        0    1     0.9340836  2039.50 0.7842105\n",
       "Apps          0    1     0.9067524  3065.50 0.6947368\n",
       "P.Undergrad   0    1     0.8167203  1309.50 0.4000000\n",
       "S.F.Ratio     0    1     0.7524116    17.45 0.1894737\n",
       "Outstate    190   -1    49.4333156 10674.00 0.0000000\n",
       "Room.Board  190   -1    39.4008902  5460.50 0.0000000\n",
       "Expend      190   -1    27.9083512 13927.50 0.0000000\n",
       "S.F.Ratio   190    1    25.3467485    15.05 0.0000000\n",
       "Grad.Rate   190   -1    23.3029928    65.50 0.0000000\n",
       "Room.Board    0   -1     0.8947368  5460.50 0.6363636\n",
       "Expend        0   -1     0.8473684 13904.00 0.4727273\n",
       "Grad.Rate     0   -1     0.8210526    76.50 0.3818182\n",
       "S.F.Ratio     0    1     0.8157895    10.75 0.3636364\n",
       "Top10perc     0   -1     0.8105263    52.50 0.3454545\n",
       "F.Undergrad  55    1     5.0505051  9366.50 0.0000000\n",
       "Enroll       55    1     4.7215078  1706.00 0.0000000\n",
       "Accept       55    1     3.6195872  5934.00 0.0000000\n",
       "S.F.Ratio    55    1     3.6195872    15.70 0.0000000\n",
       "Outstate     55   -1     3.1712258 12492.00 0.0000000\n",
       "Accept        0    1     0.9636364  6597.50 0.8000000\n",
       "Enroll        0    1     0.9636364  1985.00 0.8000000\n",
       "Apps          0    1     0.8909091 14781.50 0.4000000\n",
       "P.Undergrad   0    1     0.8727273  1597.00 0.3000000\n",
       "Room.Board    0   -1     0.8545455  3949.50 0.2000000\n",
       "...         ...   ...  ...         ...      ...      \n",
       "F.Undergrad 94     1   8.6865134    955.00  0.0000000\n",
       "PhD         94     1   6.5021720     70.50  0.0000000\n",
       "Outstate    94    -1   5.7872963   4944.00  0.0000000\n",
       "Enroll      94     1   5.7451644    198.00  0.0000000\n",
       "Room.Board  94     1   5.5323599   4620.00  0.0000000\n",
       "Enroll       0     1   0.8723404    220.00  0.6250000\n",
       "Accept       0     1   0.7659574    402.50  0.3125000\n",
       "Apps         0     1   0.7553191    378.00  0.2812500\n",
       "S.F.Ratio    0     1   0.7340426     12.15  0.2187500\n",
       "PhD          0     1   0.7234043     46.50  0.1875000\n",
       "Top10perc   62    -1   6.4076583     15.50  0.0000000\n",
       "Grad.Rate   62    -1   5.6904692     57.50  0.0000000\n",
       "Top25perc   62    -1   5.5546985     33.50  0.0000000\n",
       "Terminal    62     1   4.9300061     85.50  0.0000000\n",
       "P.Undergrad 62     1   4.8358346    114.50  0.0000000\n",
       "Top25perc    0    -1   0.9032258     42.00  0.7931034\n",
       "Grad.Rate    0    -1   0.6774194     52.50  0.3103448\n",
       "Expend       0    -1   0.6612903   6571.00  0.2758621\n",
       "Room.Board   0    -1   0.6451613   2790.00  0.2413793\n",
       "P.Undergrad  0     1   0.6290323    416.50  0.2068966\n",
       "Top25perc   33     1   4.2193939     71.00  0.0000000\n",
       "Terminal    33     1   3.0053280     80.50  0.0000000\n",
       "P.Undergrad 33     1   2.6350461    128.00  0.0000000\n",
       "Outstate    33    -1   2.3778555   6111.50  0.0000000\n",
       "PhD         33     1   2.3778555     70.50  0.0000000\n",
       "Top10perc    0     1   0.8484848     38.00  0.3750000\n",
       "Terminal     0     1   0.8484848     88.50  0.3750000\n",
       "PhD          0     1   0.8181818     82.00  0.2500000\n",
       "Expend       0     1   0.8181818   8782.00  0.2500000\n",
       "P.Undergrad  0     1   0.7878788    899.50  0.1250000"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tree$splits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<dl class=dl-horizontal>\n",
       "\t<dt>F.Undergrad</dt>\n",
       "\t\t<dd>118.324374977547</dd>\n",
       "\t<dt>Enroll</dt>\n",
       "\t\t<dd>100.845796937829</dd>\n",
       "\t<dt>Accept</dt>\n",
       "\t\t<dd>88.7734453936582</dd>\n",
       "\t<dt>Apps</dt>\n",
       "\t\t<dd>77.1239737184408</dd>\n",
       "\t<dt>Outstate</dt>\n",
       "\t\t<dd>68.3636811565811</dd>\n",
       "\t<dt>P.Undergrad</dt>\n",
       "\t\t<dd>45.2032407902888</dd>\n",
       "\t<dt>S.F.Ratio</dt>\n",
       "\t\t<dd>42.1091201104352</dd>\n",
       "\t<dt>Room.Board</dt>\n",
       "\t\t<dd>38.8476264617138</dd>\n",
       "\t<dt>Expend</dt>\n",
       "\t\t<dd>30.6214659280901</dd>\n",
       "\t<dt>Top10perc</dt>\n",
       "\t\t<dd>25.0668946433356</dd>\n",
       "\t<dt>Grad.Rate</dt>\n",
       "\t\t<dd>24.2866990587386</dd>\n",
       "\t<dt>Top25perc</dt>\n",
       "\t\t<dd>9.30132986494921</dd>\n",
       "\t<dt>perc.alumni</dt>\n",
       "\t\t<dd>3.62496361486941</dd>\n",
       "\t<dt>PhD</dt>\n",
       "\t\t<dd>2.68356974428569</dd>\n",
       "\t<dt>Terminal</dt>\n",
       "\t\t<dd>1.58227272727273</dd>\n",
       "</dl>\n"
      ],
      "text/latex": [
       "\\begin{description*}\n",
       "\\item[F.Undergrad] 118.324374977547\n",
       "\\item[Enroll] 100.845796937829\n",
       "\\item[Accept] 88.7734453936582\n",
       "\\item[Apps] 77.1239737184408\n",
       "\\item[Outstate] 68.3636811565811\n",
       "\\item[P.Undergrad] 45.2032407902888\n",
       "\\item[S.F.Ratio] 42.1091201104352\n",
       "\\item[Room.Board] 38.8476264617138\n",
       "\\item[Expend] 30.6214659280901\n",
       "\\item[Top10perc] 25.0668946433356\n",
       "\\item[Grad.Rate] 24.2866990587386\n",
       "\\item[Top25perc] 9.30132986494921\n",
       "\\item[perc.alumni] 3.62496361486941\n",
       "\\item[PhD] 2.68356974428569\n",
       "\\item[Terminal] 1.58227272727273\n",
       "\\end{description*}\n"
      ],
      "text/markdown": [
       "F.Undergrad\n",
       ":   118.324374977547Enroll\n",
       ":   100.845796937829Accept\n",
       ":   88.7734453936582Apps\n",
       ":   77.1239737184408Outstate\n",
       ":   68.3636811565811P.Undergrad\n",
       ":   45.2032407902888S.F.Ratio\n",
       ":   42.1091201104352Room.Board\n",
       ":   38.8476264617138Expend\n",
       ":   30.6214659280901Top10perc\n",
       ":   25.0668946433356Grad.Rate\n",
       ":   24.2866990587386Top25perc\n",
       ":   9.30132986494921perc.alumni\n",
       ":   3.62496361486941PhD\n",
       ":   2.68356974428569Terminal\n",
       ":   1.58227272727273\n",
       "\n"
      ],
      "text/plain": [
       "F.Undergrad      Enroll      Accept        Apps    Outstate P.Undergrad \n",
       " 118.324375  100.845797   88.773445   77.123974   68.363681   45.203241 \n",
       "  S.F.Ratio  Room.Board      Expend   Top10perc   Grad.Rate   Top25perc \n",
       "  42.109120   38.847626   30.621466   25.066895   24.286699    9.301330 \n",
       "perc.alumni         PhD    Terminal \n",
       "   3.624964    2.683570    1.582273 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tree$variable.importance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
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       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
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       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
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       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
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       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
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       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
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       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
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       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
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       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
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       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
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       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
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       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
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       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
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       "\t<li>2</li>\n",
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       "\t<li>2</li>\n",
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       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
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       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
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       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
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       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "\t<li>1</li>\n",
       "\t<li>2</li>\n",
       "\t<li>2</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 1\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 1\n",
       "\\item 2\n",
       "\\item 1\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 1\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 1\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 1\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
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       "\\item 2\n",
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       "\\item 2\n",
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       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
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       "\\item 2\n",
       "\\item 2\n",
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       "\\item 1\n",
       "\\item 1\n",
       "\\item 1\n",
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       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 1\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 1\n",
       "\\item 1\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
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       "\\item 2\n",
       "\\item 2\n",
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       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 1\n",
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       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
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       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 2\n",
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       "622. 2\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "  [1] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2\n",
       " [38] 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 1 2 2 2 2\n",
       " [75] 2 2 2 1 1 1 2 2 2 2 2 1 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 1 2 2 1 2 2 2\n",
       "[112] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 1 1 2 2 1 1 2 2 2 2 2 2 1\n",
       "[149] 2 1 2 1 2 2 1 2 1 2 1 2 2 2 2 2 2 1 2 2 2 1 1 2 2 2 2 2 2 2 2 1 2 2 2 2 2\n",
       "[186] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 1 2 2 1 2 1 1 2 2 1\n",
       "[223] 2 2 1 2 1 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 2 2 2 2 1 2 2 1 1 2 1 2 2 2\n",
       "[260] 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2 1 2 2 2 2 2 1 2 2 2 2 2 2 2 1 2 1 1 2 1 2 2\n",
       "[297] 2 2 1 1 2 2 1 1 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 1 1 2 2\n",
       "[334] 1 2 1 1 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 2 2 1 1 2 1 2 2 2 2 2 2 2 2 1 2 2\n",
       "[371] 2 1 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2\n",
       "[408] 1 2 2 2 2 2 2 1 2 2 2 2 2 2 1 1 2 2 1 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 1 1\n",
       "[445] 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 1 1 1\n",
       "[482] 1 2 2 1 1 2 2 2 2 2 2 2 1 2 1 1 1 2 1 2 1 1 1 1 1 2 1 1 1 1 1 2 1 1 2 1 1\n",
       "[519] 1 1 1 1 1 1 2 1 2 2 1 2 2 2 2 1 2 1 1 1 2 1 1 1 2 2 1 1 1 2 2 2 1 1 1 1 1\n",
       "[556] 1 1 1 1 1 1 2 2 2 1 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2\n",
       "[593] 2 1 2 2 2 1 1 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 1 2 2"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tree$y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<dl class=dl-horizontal>\n",
       "\t<dt>Apps</dt>\n",
       "\t\t<dd>FALSE</dd>\n",
       "\t<dt>Accept</dt>\n",
       "\t\t<dd>FALSE</dd>\n",
       "\t<dt>Enroll</dt>\n",
       "\t\t<dd>FALSE</dd>\n",
       "\t<dt>Top10perc</dt>\n",
       "\t\t<dd>FALSE</dd>\n",
       "\t<dt>Top25perc</dt>\n",
       "\t\t<dd>FALSE</dd>\n",
       "\t<dt>F.Undergrad</dt>\n",
       "\t\t<dd>FALSE</dd>\n",
       "\t<dt>P.Undergrad</dt>\n",
       "\t\t<dd>FALSE</dd>\n",
       "\t<dt>Outstate</dt>\n",
       "\t\t<dd>FALSE</dd>\n",
       "\t<dt>Room.Board</dt>\n",
       "\t\t<dd>FALSE</dd>\n",
       "\t<dt>Books</dt>\n",
       "\t\t<dd>FALSE</dd>\n",
       "\t<dt>Personal</dt>\n",
       "\t\t<dd>FALSE</dd>\n",
       "\t<dt>PhD</dt>\n",
       "\t\t<dd>FALSE</dd>\n",
       "\t<dt>Terminal</dt>\n",
       "\t\t<dd>FALSE</dd>\n",
       "\t<dt>S.F.Ratio</dt>\n",
       "\t\t<dd>FALSE</dd>\n",
       "\t<dt>perc.alumni</dt>\n",
       "\t\t<dd>FALSE</dd>\n",
       "\t<dt>Expend</dt>\n",
       "\t\t<dd>FALSE</dd>\n",
       "\t<dt>Grad.Rate</dt>\n",
       "\t\t<dd>FALSE</dd>\n",
       "</dl>\n"
      ],
      "text/latex": [
       "\\begin{description*}\n",
       "\\item[Apps] FALSE\n",
       "\\item[Accept] FALSE\n",
       "\\item[Enroll] FALSE\n",
       "\\item[Top10perc] FALSE\n",
       "\\item[Top25perc] FALSE\n",
       "\\item[F.Undergrad] FALSE\n",
       "\\item[P.Undergrad] FALSE\n",
       "\\item[Outstate] FALSE\n",
       "\\item[Room.Board] FALSE\n",
       "\\item[Books] FALSE\n",
       "\\item[Personal] FALSE\n",
       "\\item[PhD] FALSE\n",
       "\\item[Terminal] FALSE\n",
       "\\item[S.F.Ratio] FALSE\n",
       "\\item[perc.alumni] FALSE\n",
       "\\item[Expend] FALSE\n",
       "\\item[Grad.Rate] FALSE\n",
       "\\end{description*}\n"
      ],
      "text/markdown": [
       "Apps\n",
       ":   FALSEAccept\n",
       ":   FALSEEnroll\n",
       ":   FALSETop10perc\n",
       ":   FALSETop25perc\n",
       ":   FALSEF.Undergrad\n",
       ":   FALSEP.Undergrad\n",
       ":   FALSEOutstate\n",
       ":   FALSERoom.Board\n",
       ":   FALSEBooks\n",
       ":   FALSEPersonal\n",
       ":   FALSEPhD\n",
       ":   FALSETerminal\n",
       ":   FALSES.F.Ratio\n",
       ":   FALSEperc.alumni\n",
       ":   FALSEExpend\n",
       ":   FALSEGrad.Rate\n",
       ":   FALSE\n",
       "\n"
      ],
      "text/plain": [
       "       Apps      Accept      Enroll   Top10perc   Top25perc F.Undergrad \n",
       "      FALSE       FALSE       FALSE       FALSE       FALSE       FALSE \n",
       "P.Undergrad    Outstate  Room.Board       Books    Personal         PhD \n",
       "      FALSE       FALSE       FALSE       FALSE       FALSE       FALSE \n",
       "   Terminal   S.F.Ratio perc.alumni      Expend   Grad.Rate \n",
       "      FALSE       FALSE       FALSE       FALSE       FALSE "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tree$ordered"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>No</th><th scope=col>Yes</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Alfred University</th><td>0.00295858</td><td>0.99704142</td></tr>\n",
       "\t<tr><th scope=row>Alma College</th><td>0.00295858</td><td>0.99704142</td></tr>\n",
       "\t<tr><th scope=row>Amherst College</th><td>0.00295858</td><td>0.99704142</td></tr>\n",
       "\t<tr><th scope=row>Appalachian State University</th><td>0.94074074</td><td>0.05925926</td></tr>\n",
       "\t<tr><th scope=row>Arkansas College (Lyon College)</th><td>0.00295858</td><td>0.99704142</td></tr>\n",
       "\t<tr><th scope=row>Arkansas Tech University</th><td>0.94074074</td><td>0.05925926</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ll}\n",
       "  & No & Yes\\\\\n",
       "\\hline\n",
       "\tAlfred University & 0.00295858 & 0.99704142\\\\\n",
       "\tAlma College & 0.00295858 & 0.99704142\\\\\n",
       "\tAmherst College & 0.00295858 & 0.99704142\\\\\n",
       "\tAppalachian State University & 0.94074074 & 0.05925926\\\\\n",
       "\tArkansas College (Lyon College) & 0.00295858 & 0.99704142\\\\\n",
       "\tArkansas Tech University & 0.94074074 & 0.05925926\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | No | Yes |\n",
       "|---|---|---|\n",
       "| Alfred University | 0.00295858 | 0.99704142 |\n",
       "| Alma College | 0.00295858 | 0.99704142 |\n",
       "| Amherst College | 0.00295858 | 0.99704142 |\n",
       "| Appalachian State University | 0.94074074 | 0.05925926 |\n",
       "| Arkansas College (Lyon College) | 0.00295858 | 0.99704142 |\n",
       "| Arkansas Tech University | 0.94074074 | 0.05925926 |\n",
       "\n"
      ],
      "text/plain": [
       "                                No         Yes       \n",
       "Alfred University               0.00295858 0.99704142\n",
       "Alma College                    0.00295858 0.99704142\n",
       "Amherst College                 0.00295858 0.99704142\n",
       "Appalachian State University    0.94074074 0.05925926\n",
       "Arkansas College (Lyon College) 0.00295858 0.99704142\n",
       "Arkansas Tech University        0.94074074 0.05925926"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Use predict() to predict the Private label on the test data.\n",
    "\n",
    "tree.preds <- predict(tree,test)\n",
    "\n",
    "head(tree.preds)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>No</th><th scope=col>Yes</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Wheeling Jesuit College</th><td>0.00295858</td><td>0.9970414 </td></tr>\n",
       "\t<tr><th scope=row>Whittier College</th><td>0.00295858</td><td>0.9970414 </td></tr>\n",
       "\t<tr><th scope=row>Willamette University</th><td>0.00295858</td><td>0.9970414 </td></tr>\n",
       "\t<tr><th scope=row>Wofford College</th><td>0.00295858</td><td>0.9970414 </td></tr>\n",
       "\t<tr><th scope=row>Xavier University</th><td>0.00295858</td><td>0.9970414 </td></tr>\n",
       "\t<tr><th scope=row>Yale University</th><td>0.04444444</td><td>0.9555556 </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ll}\n",
       "  & No & Yes\\\\\n",
       "\\hline\n",
       "\tWheeling Jesuit College & 0.00295858 & 0.9970414 \\\\\n",
       "\tWhittier College & 0.00295858 & 0.9970414 \\\\\n",
       "\tWillamette University & 0.00295858 & 0.9970414 \\\\\n",
       "\tWofford College & 0.00295858 & 0.9970414 \\\\\n",
       "\tXavier University & 0.00295858 & 0.9970414 \\\\\n",
       "\tYale University & 0.04444444 & 0.9555556 \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | No | Yes |\n",
       "|---|---|---|\n",
       "| Wheeling Jesuit College | 0.00295858 | 0.9970414  |\n",
       "| Whittier College | 0.00295858 | 0.9970414  |\n",
       "| Willamette University | 0.00295858 | 0.9970414  |\n",
       "| Wofford College | 0.00295858 | 0.9970414  |\n",
       "| Xavier University | 0.00295858 | 0.9970414  |\n",
       "| Yale University | 0.04444444 | 0.9555556  |\n",
       "\n"
      ],
      "text/plain": [
       "                        No         Yes      \n",
       "Wheeling Jesuit College 0.00295858 0.9970414\n",
       "Whittier College        0.00295858 0.9970414\n",
       "Willamette University   0.00295858 0.9970414\n",
       "Wofford College         0.00295858 0.9970414\n",
       "Xavier University       0.00295858 0.9970414\n",
       "Yale University         0.04444444 0.9555556"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tail(tree.preds)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "       No                Yes         \n",
       " Min.   :0.002959   Min.   :0.05926  \n",
       " 1st Qu.:0.002959   1st Qu.:0.24138  \n",
       " Median :0.002959   Median :0.99704  \n",
       " Mean   :0.279301   Mean   :0.72070  \n",
       " 3rd Qu.:0.758621   3rd Qu.:0.99704  \n",
       " Max.   :0.940741   Max.   :0.99704  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary(tree.preds)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>No</th><th scope=col>Yes</th><th scope=col>Private</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Alfred University</th><td>0.00295858</td><td>0.99704142</td><td>Yes       </td></tr>\n",
       "\t<tr><th scope=row>Alma College</th><td>0.00295858</td><td>0.99704142</td><td>Yes       </td></tr>\n",
       "\t<tr><th scope=row>Amherst College</th><td>0.00295858</td><td>0.99704142</td><td>Yes       </td></tr>\n",
       "\t<tr><th scope=row>Appalachian State University</th><td>0.94074074</td><td>0.05925926</td><td>No        </td></tr>\n",
       "\t<tr><th scope=row>Arkansas College (Lyon College)</th><td>0.00295858</td><td>0.99704142</td><td>Yes       </td></tr>\n",
       "\t<tr><th scope=row>Arkansas Tech University</th><td>0.94074074</td><td>0.05925926</td><td>No        </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lll}\n",
       "  & No & Yes & Private\\\\\n",
       "\\hline\n",
       "\tAlfred University & 0.00295858 & 0.99704142 & Yes       \\\\\n",
       "\tAlma College & 0.00295858 & 0.99704142 & Yes       \\\\\n",
       "\tAmherst College & 0.00295858 & 0.99704142 & Yes       \\\\\n",
       "\tAppalachian State University & 0.94074074 & 0.05925926 & No        \\\\\n",
       "\tArkansas College (Lyon College) & 0.00295858 & 0.99704142 & Yes       \\\\\n",
       "\tArkansas Tech University & 0.94074074 & 0.05925926 & No        \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | No | Yes | Private |\n",
       "|---|---|---|---|\n",
       "| Alfred University | 0.00295858 | 0.99704142 | Yes        |\n",
       "| Alma College | 0.00295858 | 0.99704142 | Yes        |\n",
       "| Amherst College | 0.00295858 | 0.99704142 | Yes        |\n",
       "| Appalachian State University | 0.94074074 | 0.05925926 | No         |\n",
       "| Arkansas College (Lyon College) | 0.00295858 | 0.99704142 | Yes        |\n",
       "| Arkansas Tech University | 0.94074074 | 0.05925926 | No         |\n",
       "\n"
      ],
      "text/plain": [
       "                                No         Yes        Private\n",
       "Alfred University               0.00295858 0.99704142 Yes    \n",
       "Alma College                    0.00295858 0.99704142 Yes    \n",
       "Amherst College                 0.00295858 0.99704142 Yes    \n",
       "Appalachian State University    0.94074074 0.05925926 No     \n",
       "Arkansas College (Lyon College) 0.00295858 0.99704142 Yes    \n",
       "Arkansas Tech University        0.94074074 0.05925926 No     "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Turn these two columns into one column to match the original Yes/No Label for a Private column.\n",
    "\n",
    "tree.preds <- as.data.frame(tree.preds)\n",
    "\n",
    "joiner <- function(x){\n",
    "    if (x>=0.5){\n",
    "        return('Yes')\n",
    "    }else{\n",
    "        return(\"No\")\n",
    "    }\n",
    "}\n",
    "tree.preds$Private <- sapply(tree.preds$Yes,joiner)\n",
    "head(tree.preds)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "     \n",
       "       No Yes\n",
       "  No   39   8\n",
       "  Yes   3 105"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "table(tree.preds$Private,test$Private)    #Confusion Matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [],
   "source": [
    "library(rpart.plot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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L98CiB19XLS2qhtpPcWp2r1qV79OXbU8wT0OdglvwqunU3/Pn5jebK2qnpXVTAV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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prp(tree)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}