spotify-hypothesis-test.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "plt.style.use('ggplot')\n",
    "pd.set_option('display.max_columns', None)\n",
    "from numpy.random import seed\n",
    "from numpy.random import randn\n",
    "from numpy.random import normal\n",
    "from scipy.stats import ttest_ind"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv(\"data/top_10000_1960-now.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(9999, 35)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Track URI</th>\n",
       "      <th>Track Name</th>\n",
       "      <th>Artist URI(s)</th>\n",
       "      <th>Artist Name(s)</th>\n",
       "      <th>Album URI</th>\n",
       "      <th>Album Name</th>\n",
       "      <th>Album Artist URI(s)</th>\n",
       "      <th>Album Artist Name(s)</th>\n",
       "      <th>Album Release Date</th>\n",
       "      <th>Album Image URL</th>\n",
       "      <th>Disc Number</th>\n",
       "      <th>Track Number</th>\n",
       "      <th>Track Duration (ms)</th>\n",
       "      <th>Track Preview URL</th>\n",
       "      <th>Explicit</th>\n",
       "      <th>Popularity</th>\n",
       "      <th>ISRC</th>\n",
       "      <th>Added By</th>\n",
       "      <th>Added At</th>\n",
       "      <th>Artist Genres</th>\n",
       "      <th>Danceability</th>\n",
       "      <th>Energy</th>\n",
       "      <th>Key</th>\n",
       "      <th>Loudness</th>\n",
       "      <th>Mode</th>\n",
       "      <th>Speechiness</th>\n",
       "      <th>Acousticness</th>\n",
       "      <th>Instrumentalness</th>\n",
       "      <th>Liveness</th>\n",
       "      <th>Valence</th>\n",
       "      <th>Tempo</th>\n",
       "      <th>Time Signature</th>\n",
       "      <th>Album Genres</th>\n",
       "      <th>Label</th>\n",
       "      <th>Copyrights</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>spotify:track:1XAZlnVtthcDZt2NI1Dtxo</td>\n",
       "      <td>Justified &amp; Ancient - Stand by the Jams</td>\n",
       "      <td>spotify:artist:6dYrdRlNZSKaVxYg5IrvCH</td>\n",
       "      <td>The KLF</td>\n",
       "      <td>spotify:album:4MC0ZjNtVP1nDD5lsLxFjc</td>\n",
       "      <td>Songs Collection</td>\n",
       "      <td>spotify:artist:6dYrdRlNZSKaVxYg5IrvCH</td>\n",
       "      <td>The KLF</td>\n",
       "      <td>1992-08-03</td>\n",
       "      <td>https://i.scdn.co/image/ab67616d0000b27355346b...</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>216270</td>\n",
       "      <td>NaN</td>\n",
       "      <td>False</td>\n",
       "      <td>0</td>\n",
       "      <td>QMARG1760056</td>\n",
       "      <td>spotify:user:bradnumber1</td>\n",
       "      <td>2020-03-05T09:20:39Z</td>\n",
       "      <td>acid house,ambient house,big beat,hip house</td>\n",
       "      <td>0.617</td>\n",
       "      <td>0.872</td>\n",
       "      <td>8.0</td>\n",
       "      <td>-12.305</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0480</td>\n",
       "      <td>0.0158</td>\n",
       "      <td>0.112000</td>\n",
       "      <td>0.4080</td>\n",
       "      <td>0.504</td>\n",
       "      <td>111.458</td>\n",
       "      <td>4.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Jams Communications</td>\n",
       "      <td>C 1992 Copyright Control, P 1992 Jams Communic...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>spotify:track:6a8GbQIlV8HBUW3c6Uk9PH</td>\n",
       "      <td>I Know You Want Me (Calle Ocho)</td>\n",
       "      <td>spotify:artist:0TnOYISbd1XYRBk9myaseg</td>\n",
       "      <td>Pitbull</td>\n",
       "      <td>spotify:album:5xLAcbvbSAlRtPXnKkggXA</td>\n",
       "      <td>Pitbull Starring In Rebelution</td>\n",
       "      <td>spotify:artist:0TnOYISbd1XYRBk9myaseg</td>\n",
       "      <td>Pitbull</td>\n",
       "      <td>2009-10-23</td>\n",
       "      <td>https://i.scdn.co/image/ab67616d0000b27326d73a...</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>237120</td>\n",
       "      <td>https://p.scdn.co/mp3-preview/d6f8883fc955cb0e...</td>\n",
       "      <td>False</td>\n",
       "      <td>64</td>\n",
       "      <td>USJAY0900144</td>\n",
       "      <td>spotify:user:bradnumber1</td>\n",
       "      <td>2021-08-08T09:26:31Z</td>\n",
       "      <td>dance pop,miami hip hop,pop</td>\n",
       "      <td>0.825</td>\n",
       "      <td>0.743</td>\n",
       "      <td>2.0</td>\n",
       "      <td>-5.995</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.1490</td>\n",
       "      <td>0.0142</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>0.2370</td>\n",
       "      <td>0.800</td>\n",
       "      <td>127.045</td>\n",
       "      <td>4.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Mr.305/Polo Grounds Music/J Records</td>\n",
       "      <td>P (P) 2009 RCA/JIVE Label Group, a unit of Son...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>spotify:track:70XtWbcVZcpaOddJftMcVi</td>\n",
       "      <td>From the Bottom of My Broken Heart</td>\n",
       "      <td>spotify:artist:26dSoYclwsYLMAKD3tpOr4</td>\n",
       "      <td>Britney Spears</td>\n",
       "      <td>spotify:album:3WNxdumkSMGMJRhEgK80qx</td>\n",
       "      <td>...Baby One More Time (Digital Deluxe Version)</td>\n",
       "      <td>spotify:artist:26dSoYclwsYLMAKD3tpOr4</td>\n",
       "      <td>Britney Spears</td>\n",
       "      <td>1999-01-12</td>\n",
       "      <td>https://i.scdn.co/image/ab67616d0000b2738e4986...</td>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>312533</td>\n",
       "      <td>https://p.scdn.co/mp3-preview/1de5faef947224dc...</td>\n",
       "      <td>False</td>\n",
       "      <td>56</td>\n",
       "      <td>USJI19910455</td>\n",
       "      <td>spotify:user:bradnumber1</td>\n",
       "      <td>2021-08-08T09:26:31Z</td>\n",
       "      <td>dance pop,pop</td>\n",
       "      <td>0.677</td>\n",
       "      <td>0.665</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-5.171</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0305</td>\n",
       "      <td>0.5600</td>\n",
       "      <td>0.000001</td>\n",
       "      <td>0.3380</td>\n",
       "      <td>0.706</td>\n",
       "      <td>74.981</td>\n",
       "      <td>4.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Jive</td>\n",
       "      <td>P (P) 1999 Zomba Recording LLC</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>spotify:track:1NXUWyPJk5kO6DQJ5t7bDu</td>\n",
       "      <td>Apeman - 2014 Remastered Version</td>\n",
       "      <td>spotify:artist:1SQRv42e4PjEYfPhS0Tk9E</td>\n",
       "      <td>The Kinks</td>\n",
       "      <td>spotify:album:6lL6HugNEN4Vlc8sj0Zcse</td>\n",
       "      <td>Lola vs. Powerman and the Moneygoround, Pt. On...</td>\n",
       "      <td>spotify:artist:1SQRv42e4PjEYfPhS0Tk9E</td>\n",
       "      <td>The Kinks</td>\n",
       "      <td>2014-10-20</td>\n",
       "      <td>https://i.scdn.co/image/ab67616d0000b2731e7c53...</td>\n",
       "      <td>1</td>\n",
       "      <td>11</td>\n",
       "      <td>233400</td>\n",
       "      <td>https://p.scdn.co/mp3-preview/c4df3a832509cc55...</td>\n",
       "      <td>False</td>\n",
       "      <td>42</td>\n",
       "      <td>GB5KW1499822</td>\n",
       "      <td>spotify:user:bradnumber1</td>\n",
       "      <td>2021-08-08T09:26:31Z</td>\n",
       "      <td>album rock,art rock,british invasion,classic r...</td>\n",
       "      <td>0.683</td>\n",
       "      <td>0.728</td>\n",
       "      <td>9.0</td>\n",
       "      <td>-8.920</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.2590</td>\n",
       "      <td>0.5680</td>\n",
       "      <td>0.000051</td>\n",
       "      <td>0.0384</td>\n",
       "      <td>0.833</td>\n",
       "      <td>75.311</td>\n",
       "      <td>4.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Sanctuary Records</td>\n",
       "      <td>C © 2014 Sanctuary Records Group Ltd., a BMG C...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>spotify:track:72WZtWs6V7uu3aMgMmEkYe</td>\n",
       "      <td>You Can't Always Get What You Want</td>\n",
       "      <td>spotify:artist:22bE4uQ6baNwSHPVcDxLCe</td>\n",
       "      <td>The Rolling Stones</td>\n",
       "      <td>spotify:album:0c78nsgqX6VfniSNWIxwoD</td>\n",
       "      <td>Let It Bleed</td>\n",
       "      <td>spotify:artist:22bE4uQ6baNwSHPVcDxLCe</td>\n",
       "      <td>The Rolling Stones</td>\n",
       "      <td>1969-12-05</td>\n",
       "      <td>https://i.scdn.co/image/ab67616d0000b27373d927...</td>\n",
       "      <td>1</td>\n",
       "      <td>9</td>\n",
       "      <td>448720</td>\n",
       "      <td>NaN</td>\n",
       "      <td>False</td>\n",
       "      <td>0</td>\n",
       "      <td>USA176910100</td>\n",
       "      <td>spotify:user:bradnumber1</td>\n",
       "      <td>2021-08-08T09:26:31Z</td>\n",
       "      <td>album rock,british invasion,classic rock,rock</td>\n",
       "      <td>0.319</td>\n",
       "      <td>0.627</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-9.611</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0687</td>\n",
       "      <td>0.6750</td>\n",
       "      <td>0.000073</td>\n",
       "      <td>0.2890</td>\n",
       "      <td>0.497</td>\n",
       "      <td>85.818</td>\n",
       "      <td>4.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Universal Music Group</td>\n",
       "      <td>C © 2002 ABKCO Music &amp; Records Inc., P ℗ 2002 ...</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                              Track URI  \\\n",
       "0  spotify:track:1XAZlnVtthcDZt2NI1Dtxo   \n",
       "1  spotify:track:6a8GbQIlV8HBUW3c6Uk9PH   \n",
       "2  spotify:track:70XtWbcVZcpaOddJftMcVi   \n",
       "3  spotify:track:1NXUWyPJk5kO6DQJ5t7bDu   \n",
       "4  spotify:track:72WZtWs6V7uu3aMgMmEkYe   \n",
       "\n",
       "                                Track Name  \\\n",
       "0  Justified & Ancient - Stand by the Jams   \n",
       "1          I Know You Want Me (Calle Ocho)   \n",
       "2       From the Bottom of My Broken Heart   \n",
       "3         Apeman - 2014 Remastered Version   \n",
       "4       You Can't Always Get What You Want   \n",
       "\n",
       "                           Artist URI(s)      Artist Name(s)  \\\n",
       "0  spotify:artist:6dYrdRlNZSKaVxYg5IrvCH             The KLF   \n",
       "1  spotify:artist:0TnOYISbd1XYRBk9myaseg             Pitbull   \n",
       "2  spotify:artist:26dSoYclwsYLMAKD3tpOr4      Britney Spears   \n",
       "3  spotify:artist:1SQRv42e4PjEYfPhS0Tk9E           The Kinks   \n",
       "4  spotify:artist:22bE4uQ6baNwSHPVcDxLCe  The Rolling Stones   \n",
       "\n",
       "                              Album URI  \\\n",
       "0  spotify:album:4MC0ZjNtVP1nDD5lsLxFjc   \n",
       "1  spotify:album:5xLAcbvbSAlRtPXnKkggXA   \n",
       "2  spotify:album:3WNxdumkSMGMJRhEgK80qx   \n",
       "3  spotify:album:6lL6HugNEN4Vlc8sj0Zcse   \n",
       "4  spotify:album:0c78nsgqX6VfniSNWIxwoD   \n",
       "\n",
       "                                          Album Name  \\\n",
       "0                                   Songs Collection   \n",
       "1                     Pitbull Starring In Rebelution   \n",
       "2     ...Baby One More Time (Digital Deluxe Version)   \n",
       "3  Lola vs. Powerman and the Moneygoround, Pt. On...   \n",
       "4                                       Let It Bleed   \n",
       "\n",
       "                     Album Artist URI(s) Album Artist Name(s)  \\\n",
       "0  spotify:artist:6dYrdRlNZSKaVxYg5IrvCH              The KLF   \n",
       "1  spotify:artist:0TnOYISbd1XYRBk9myaseg              Pitbull   \n",
       "2  spotify:artist:26dSoYclwsYLMAKD3tpOr4       Britney Spears   \n",
       "3  spotify:artist:1SQRv42e4PjEYfPhS0Tk9E            The Kinks   \n",
       "4  spotify:artist:22bE4uQ6baNwSHPVcDxLCe   The Rolling Stones   \n",
       "\n",
       "  Album Release Date                                    Album Image URL  \\\n",
       "0         1992-08-03  https://i.scdn.co/image/ab67616d0000b27355346b...   \n",
       "1         2009-10-23  https://i.scdn.co/image/ab67616d0000b27326d73a...   \n",
       "2         1999-01-12  https://i.scdn.co/image/ab67616d0000b2738e4986...   \n",
       "3         2014-10-20  https://i.scdn.co/image/ab67616d0000b2731e7c53...   \n",
       "4         1969-12-05  https://i.scdn.co/image/ab67616d0000b27373d927...   \n",
       "\n",
       "   Disc Number  Track Number  Track Duration (ms)  \\\n",
       "0            1             3               216270   \n",
       "1            1             3               237120   \n",
       "2            1             6               312533   \n",
       "3            1            11               233400   \n",
       "4            1             9               448720   \n",
       "\n",
       "                                   Track Preview URL  Explicit  Popularity  \\\n",
       "0                                                NaN     False           0   \n",
       "1  https://p.scdn.co/mp3-preview/d6f8883fc955cb0e...     False          64   \n",
       "2  https://p.scdn.co/mp3-preview/1de5faef947224dc...     False          56   \n",
       "3  https://p.scdn.co/mp3-preview/c4df3a832509cc55...     False          42   \n",
       "4                                                NaN     False           0   \n",
       "\n",
       "           ISRC                  Added By              Added At  \\\n",
       "0  QMARG1760056  spotify:user:bradnumber1  2020-03-05T09:20:39Z   \n",
       "1  USJAY0900144  spotify:user:bradnumber1  2021-08-08T09:26:31Z   \n",
       "2  USJI19910455  spotify:user:bradnumber1  2021-08-08T09:26:31Z   \n",
       "3  GB5KW1499822  spotify:user:bradnumber1  2021-08-08T09:26:31Z   \n",
       "4  USA176910100  spotify:user:bradnumber1  2021-08-08T09:26:31Z   \n",
       "\n",
       "                                       Artist Genres  Danceability  Energy  \\\n",
       "0        acid house,ambient house,big beat,hip house         0.617   0.872   \n",
       "1                        dance pop,miami hip hop,pop         0.825   0.743   \n",
       "2                                      dance pop,pop         0.677   0.665   \n",
       "3  album rock,art rock,british invasion,classic r...         0.683   0.728   \n",
       "4      album rock,british invasion,classic rock,rock         0.319   0.627   \n",
       "\n",
       "   Key  Loudness  Mode  Speechiness  Acousticness  Instrumentalness  Liveness  \\\n",
       "0  8.0   -12.305   1.0       0.0480        0.0158          0.112000    0.4080   \n",
       "1  2.0    -5.995   1.0       0.1490        0.0142          0.000021    0.2370   \n",
       "2  7.0    -5.171   1.0       0.0305        0.5600          0.000001    0.3380   \n",
       "3  9.0    -8.920   1.0       0.2590        0.5680          0.000051    0.0384   \n",
       "4  0.0    -9.611   1.0       0.0687        0.6750          0.000073    0.2890   \n",
       "\n",
       "   Valence    Tempo  Time Signature  Album Genres  \\\n",
       "0    0.504  111.458             4.0           NaN   \n",
       "1    0.800  127.045             4.0           NaN   \n",
       "2    0.706   74.981             4.0           NaN   \n",
       "3    0.833   75.311             4.0           NaN   \n",
       "4    0.497   85.818             4.0           NaN   \n",
       "\n",
       "                                 Label  \\\n",
       "0                  Jams Communications   \n",
       "1  Mr.305/Polo Grounds Music/J Records   \n",
       "2                                 Jive   \n",
       "3                    Sanctuary Records   \n",
       "4                Universal Music Group   \n",
       "\n",
       "                                          Copyrights  \n",
       "0  C 1992 Copyright Control, P 1992 Jams Communic...  \n",
       "1  P (P) 2009 RCA/JIVE Label Group, a unit of Son...  \n",
       "2                     P (P) 1999 Zomba Recording LLC  \n",
       "3  C © 2014 Sanctuary Records Group Ltd., a BMG C...  \n",
       "4  C © 2002 ABKCO Music & Records Inc., P ℗ 2002 ...  "
      ]
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     "execution_count": 6,
     "metadata": {},
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    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['Track URI', 'Track Name', 'Artist URI(s)', 'Artist Name(s)',\n",
       "       'Album URI', 'Album Name', 'Album Artist URI(s)',\n",
       "       'Album Artist Name(s)', 'Album Release Date', 'Album Image URL',\n",
       "       'Disc Number', 'Track Number', 'Track Duration (ms)',\n",
       "       'Track Preview URL', 'Explicit', 'Popularity', 'ISRC', 'Added By',\n",
       "       'Added At', 'Artist Genres', 'Danceability', 'Energy', 'Key',\n",
       "       'Loudness', 'Mode', 'Speechiness', 'Acousticness', 'Instrumentalness',\n",
       "       'Liveness', 'Valence', 'Tempo', 'Time Signature', 'Album Genres',\n",
       "       'Label', 'Copyrights'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
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     "data": {
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       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Disc Number</th>\n",
       "      <th>Track Number</th>\n",
       "      <th>Track Duration (ms)</th>\n",
       "      <th>Popularity</th>\n",
       "      <th>Danceability</th>\n",
       "      <th>Energy</th>\n",
       "      <th>Key</th>\n",
       "      <th>Loudness</th>\n",
       "      <th>Mode</th>\n",
       "      <th>Speechiness</th>\n",
       "      <th>Acousticness</th>\n",
       "      <th>Instrumentalness</th>\n",
       "      <th>Liveness</th>\n",
       "      <th>Valence</th>\n",
       "      <th>Tempo</th>\n",
       "      <th>Time Signature</th>\n",
       "      <th>Album Genres</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>9999.000000</td>\n",
       "      <td>9999.000000</td>\n",
       "      <td>9.999000e+03</td>\n",
       "      <td>9999.000000</td>\n",
       "      <td>9997.000000</td>\n",
       "      <td>9997.000000</td>\n",
       "      <td>9997.000000</td>\n",
       "      <td>9997.000000</td>\n",
       "      <td>9997.000000</td>\n",
       "      <td>9997.000000</td>\n",
       "      <td>9997.000000</td>\n",
       "      <td>9997.000000</td>\n",
       "      <td>9997.000000</td>\n",
       "      <td>9997.000000</td>\n",
       "      <td>9997.000000</td>\n",
       "      <td>9997.000000</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>1.035104</td>\n",
       "      <td>4.957096</td>\n",
       "      <td>2.248150e+05</td>\n",
       "      <td>37.624662</td>\n",
       "      <td>0.607925</td>\n",
       "      <td>0.683281</td>\n",
       "      <td>5.167750</td>\n",
       "      <td>-7.269217</td>\n",
       "      <td>0.698410</td>\n",
       "      <td>0.065138</td>\n",
       "      <td>0.208589</td>\n",
       "      <td>0.029331</td>\n",
       "      <td>0.185777</td>\n",
       "      <td>0.585459</td>\n",
       "      <td>121.496650</td>\n",
       "      <td>3.960488</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.327856</td>\n",
       "      <td>5.502810</td>\n",
       "      <td>5.410012e+04</td>\n",
       "      <td>29.460808</td>\n",
       "      <td>0.145869</td>\n",
       "      <td>0.191131</td>\n",
       "      <td>3.578392</td>\n",
       "      <td>3.281731</td>\n",
       "      <td>0.458971</td>\n",
       "      <td>0.061324</td>\n",
       "      <td>0.248842</td>\n",
       "      <td>0.123576</td>\n",
       "      <td>0.149194</td>\n",
       "      <td>0.239105</td>\n",
       "      <td>26.260686</td>\n",
       "      <td>0.250927</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000020</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>-29.368000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.012000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.925795e+05</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.515000</td>\n",
       "      <td>0.560000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>-9.070000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.033100</td>\n",
       "      <td>0.018400</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.089200</td>\n",
       "      <td>0.398000</td>\n",
       "      <td>102.642000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>2.199060e+05</td>\n",
       "      <td>42.000000</td>\n",
       "      <td>0.617000</td>\n",
       "      <td>0.712000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>-6.518000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.042900</td>\n",
       "      <td>0.095600</td>\n",
       "      <td>0.000006</td>\n",
       "      <td>0.128000</td>\n",
       "      <td>0.598000</td>\n",
       "      <td>120.653000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>7.000000</td>\n",
       "      <td>2.502600e+05</td>\n",
       "      <td>64.000000</td>\n",
       "      <td>0.710000</td>\n",
       "      <td>0.835000</td>\n",
       "      <td>8.000000</td>\n",
       "      <td>-4.887000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.067500</td>\n",
       "      <td>0.318000</td>\n",
       "      <td>0.000561</td>\n",
       "      <td>0.245000</td>\n",
       "      <td>0.783000</td>\n",
       "      <td>134.328000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>15.000000</td>\n",
       "      <td>93.000000</td>\n",
       "      <td>1.561133e+06</td>\n",
       "      <td>98.000000</td>\n",
       "      <td>0.988000</td>\n",
       "      <td>0.997000</td>\n",
       "      <td>11.000000</td>\n",
       "      <td>2.769000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.711000</td>\n",
       "      <td>0.991000</td>\n",
       "      <td>0.985000</td>\n",
       "      <td>0.989000</td>\n",
       "      <td>0.995000</td>\n",
       "      <td>217.913000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       Disc Number  Track Number  Track Duration (ms)   Popularity  \\\n",
       "count  9999.000000   9999.000000         9.999000e+03  9999.000000   \n",
       "mean      1.035104      4.957096         2.248150e+05    37.624662   \n",
       "std       0.327856      5.502810         5.410012e+04    29.460808   \n",
       "min       0.000000      0.000000         0.000000e+00     0.000000   \n",
       "25%       1.000000      1.000000         1.925795e+05     0.000000   \n",
       "50%       1.000000      3.000000         2.199060e+05    42.000000   \n",
       "75%       1.000000      7.000000         2.502600e+05    64.000000   \n",
       "max      15.000000     93.000000         1.561133e+06    98.000000   \n",
       "\n",
       "       Danceability       Energy          Key     Loudness         Mode  \\\n",
       "count   9997.000000  9997.000000  9997.000000  9997.000000  9997.000000   \n",
       "mean       0.607925     0.683281     5.167750    -7.269217     0.698410   \n",
       "std        0.145869     0.191131     3.578392     3.281731     0.458971   \n",
       "min        0.000000     0.000020     0.000000   -29.368000     0.000000   \n",
       "25%        0.515000     0.560000     2.000000    -9.070000     0.000000   \n",
       "50%        0.617000     0.712000     5.000000    -6.518000     1.000000   \n",
       "75%        0.710000     0.835000     8.000000    -4.887000     1.000000   \n",
       "max        0.988000     0.997000    11.000000     2.769000     1.000000   \n",
       "\n",
       "       Speechiness  Acousticness  Instrumentalness     Liveness      Valence  \\\n",
       "count  9997.000000   9997.000000       9997.000000  9997.000000  9997.000000   \n",
       "mean      0.065138      0.208589          0.029331     0.185777     0.585459   \n",
       "std       0.061324      0.248842          0.123576     0.149194     0.239105   \n",
       "min       0.000000      0.000003          0.000000     0.012000     0.000000   \n",
       "25%       0.033100      0.018400          0.000000     0.089200     0.398000   \n",
       "50%       0.042900      0.095600          0.000006     0.128000     0.598000   \n",
       "75%       0.067500      0.318000          0.000561     0.245000     0.783000   \n",
       "max       0.711000      0.991000          0.985000     0.989000     0.995000   \n",
       "\n",
       "             Tempo  Time Signature  Album Genres  \n",
       "count  9997.000000     9997.000000           0.0  \n",
       "mean    121.496650        3.960488           NaN  \n",
       "std      26.260686        0.250927           NaN  \n",
       "min       0.000000        0.000000           NaN  \n",
       "25%     102.642000        4.000000           NaN  \n",
       "50%     120.653000        4.000000           NaN  \n",
       "75%     134.328000        4.000000           NaN  \n",
       "max     217.913000        5.000000           NaN  "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "df.drop(df.columns[df.isnull().mean() > 0.40], axis=1, inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Track URI 0\n",
      "Track Name 1\n",
      "Artist URI(s) 2\n",
      "Artist Name(s) 1\n",
      "Album URI 2\n",
      "Album Name 1\n",
      "Album Artist URI(s) 2\n",
      "Album Artist Name(s) 2\n",
      "Album Release Date 2\n",
      "Album Image URL 4\n",
      "Disc Number 0\n",
      "Track Number 0\n",
      "Track Duration (ms) 0\n",
      "Track Preview URL 2897\n",
      "Explicit 0\n",
      "Popularity 0\n",
      "ISRC 3\n",
      "Added By 0\n",
      "Added At 0\n",
      "Artist Genres 550\n",
      "Danceability 2\n",
      "Energy 2\n",
      "Key 2\n",
      "Loudness 2\n",
      "Mode 2\n",
      "Speechiness 2\n",
      "Acousticness 2\n",
      "Instrumentalness 2\n",
      "Liveness 2\n",
      "Valence 2\n",
      "Tempo 2\n",
      "Time Signature 2\n",
      "Label 6\n",
      "Copyrights 24\n"
     ]
    }
   ],
   "source": [
    "for column in df.columns:\n",
    "    print(column, df[column].isna().sum())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Track URI                object\n",
       "Track Name               object\n",
       "Artist URI(s)            object\n",
       "Artist Name(s)           object\n",
       "Album URI                object\n",
       "Album Name               object\n",
       "Album Artist URI(s)      object\n",
       "Album Artist Name(s)     object\n",
       "Album Release Date       object\n",
       "Album Image URL          object\n",
       "Disc Number               int64\n",
       "Track Number              int64\n",
       "Track Duration (ms)       int64\n",
       "Track Preview URL        object\n",
       "Explicit                   bool\n",
       "Popularity                int64\n",
       "ISRC                     object\n",
       "Added By                 object\n",
       "Added At                 object\n",
       "Artist Genres            object\n",
       "Danceability            float64\n",
       "Energy                  float64\n",
       "Key                     float64\n",
       "Loudness                float64\n",
       "Mode                    float64\n",
       "Speechiness             float64\n",
       "Acousticness            float64\n",
       "Instrumentalness        float64\n",
       "Liveness                float64\n",
       "Valence                 float64\n",
       "Tempo                   float64\n",
       "Time Signature          float64\n",
       "Label                    object\n",
       "Copyrights               object\n",
       "dtype: object"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.dtypes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "int_float_columns = df.select_dtypes(include=['int64', 'float64']).columns\n",
    "df[int_float_columns] = df[int_float_columns].fillna(df[int_float_columns].mean())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "object_columns = df.select_dtypes(include=['object']).columns\n",
    "df[object_columns] = df[object_columns].fillna(df[object_columns].mode().iloc[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "48"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sum(df.duplicated())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df[~df.duplicated()].reset_index(drop=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Track URI               9951\n",
       "Track Name              8258\n",
       "Artist URI(s)           4134\n",
       "Artist Name(s)          4129\n",
       "Album URI               7462\n",
       "Album Name              6636\n",
       "Album Artist URI(s)     3298\n",
       "Album Artist Name(s)    3294\n",
       "Album Release Date      3332\n",
       "Album Image URL         7460\n",
       "Disc Number               10\n",
       "Track Number              57\n",
       "Track Duration (ms)     7320\n",
       "Track Preview URL       6889\n",
       "Explicit                   2\n",
       "Popularity                99\n",
       "ISRC                    8948\n",
       "Added By                   1\n",
       "Added At                 609\n",
       "Artist Genres           2815\n",
       "Danceability             779\n",
       "Energy                   876\n",
       "Key                       12\n",
       "Loudness                6329\n",
       "Mode                       2\n",
       "Speechiness             1059\n",
       "Acousticness            2746\n",
       "Instrumentalness        3028\n",
       "Liveness                1361\n",
       "Valence                  994\n",
       "Tempo                   8621\n",
       "Time Signature             5\n",
       "Label                   1465\n",
       "Copyrights              5378\n",
       "dtype: int64"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.nunique()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.boxplot(x = 'Popularity', data = df, color = 'green')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAggAAAG0CAYAAABXHN/wAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAeyUlEQVR4nO3dfZBddWH/8c/NbtiHhHUhIYmEp2g2iDRAobQo8ANFFGMAEYmYRGyBiKJFsAp2BkLJhCkM09ZakHYwQ0UIUJAgD8FClYdSZpAHJUJbgkAI8tAkQJKGZEM2ub8/nL3N8t08h72b5PWacdyce8653/Pl3r3vPefu3Uq1Wq0GAGAtA+o9AACg/xEIAEBBIAAABYEAABQEAgBQEAgAQEEgAAAFgQAAFAQCAFBo3NIdvPXWW+nq6tqkbXbbbbcsXLhwS+96u2NeemdeemdeemdeemdeercjzktjY2N22WWXDa+3pXfU1dWVVatWbfT6lUqltp1Pef4/5qV35qV35qV35qV35qV35mX9XGIAAAoCAQAoCAQAoCAQAICCQAAACgIBACgIBACgIBAAgIJAAAAKAgEAKAgEAKAgEACAgkAAAAoCAQAoCAQAoCAQAICCQAAACgIBACgIBACgIBAAgIJAAAAKAgEAKAgEAKAgEACAgkAAAAoCAQAoCAQAoCAQAICCQAAACgIBACgIBACgIBAAgEJjvQcAUC/VajWdnZ31HkZNtVrNypUrkyRNTU2pVCpbZb+VSiXLly/PihUrUq1W09zcvNX2zfZLIAA7rM7OzowbN67ew+hzs2fPTktLS72HQT/nEgMAUHAGASDJwmMWptpQre8gupJhvxiWJFnw8QVb9Tt0ZXUlu/18t623Q7Z7AgEg+X0c9KfviI3ZquOpps7xwzbHJQYAoCAQAICCQAAACgIBACgIBACgIBAAgIJAAAAKAgEAKAgEAKAgEACAgkAAAAoCAQAoCAQAoCAQAICCQAAACgIBACgIBACgIBAAgIJAAAAKAgEAKAgEAKAgEACAgkAAAAoCAQAoCAQAoCAQAICCQAAACgIBACgIBACgIBAAgIJAAAAKAgEAKAgEAKAgEACAgkAAAAoCAQAoCAQAoCAQAICCQAAACgIBACgIBACgIBAAgIJAAAAKAgEAKAgEAKAgEACAgkAAAAoCAQAoCAQAoCAQAICCQAAACgIBACgIBACgIBAAgIJAAAAKAgEAKAgEAKAgEACAgkAAAAoCAQAoCAQAoCAQAICCQAAACgIBACgIBACgIBAAgIJAAAAKAgEAKAgEAKDQWO8BAOtWrVbT2dmZJGlubk6lUqnziGDb5fm0aZxBgH6ss7Mz48aNy7hx42rf2IDN4/m0aQQCAFAQCABAQSAAAAWBAAAUBAIAUBAIAEBBIAAABYEAABQEAgBQEAgAQEEgAAAFgQAAFAQCAFAQCABAQSAAAAWBAAAUBAIAUBAIAEBBIAAABYEAABQEAgBQEAgAQEEgAAAFgQAAFAQCAFAQCABAQSAAAAWBAAAUBAIAUBAIAEBBIAAABYEAABQEAgBQEAgAQEEgAAAFgQAAFAQCAFAQCABAQSAAAAWBAAAUBAIAUBAIAEBBIAAABYEAABQEAgBQEAgAQEEgAAAFgQAAFAQCAFAQCABAQSAAAAWBAAAUBAIAUBAIAEBBIAAABYEAABQEAgBQEAgAQEEgAAAFgQAAFAQCAFAQCABAQSAAAAWBAAAUBAIAUBAIAEBBIAAABYEAABQEAgBQaKz3AN7tkUceyfe///2cc845+ehHP1rv4Wx19Ti+Rx55JFdccUWSZPz48bnrrruSJN/5znd6jKG3sXUvO/bYY3PffffVblt73STr3G5dy7q3OfbYY3PLLbdk5cqVaWhoyOrVq9PU1JSWlpbaWLu6ulKtVpMkXV1deeedd7Lnnntm/vz5GTp0aBYtWlTbduDAgenq6sqkSZNyxhlnrHcuuo+/e9nbb7+dVatWJUkGDRqUIUOGZP78+bVtm5qacsopp9TGuy4tLS1ZsWLFpv5n2qBvf/vbueqqq7b6foH+pz+8Flaq3d95N9PChQtr31Q36g4rlbz//e/Pa6+9lnffdWdnZ770pS9l0aJFGTp0aH784x+nubl5S4bXr6zv+NY3L1t6n5MnT84bb7xR3DZkyJBcf/31aW5u7nVsSWrLBgwYkDVr1mTo0KG55pprMmXKlCxatChDhgxJkrzxxhu9btfbsrW3qVQq6zze9d22IZVKJbfddlva29vXORdDhgzJD3/4w5x55pm9zk9/9KMf/Sh77bXXe/Z42dZt6rysWLEi48aNS5Is+OSC+v/I1JUMu3fYezOetfY9e/bstLS0bMWdbxvW/u89e/bstLa29svn0Xv9Wjhw4MDstttuG1yvX11imDlzZu0b9RtvvJGZM2fWeURbVz2Ob+37fLe1x9Db2NZetmbNmtptU6dO7bHu+rZb17Lur9f3pNySJ2y1Ws3UqVN7LHv3XLz7WLYFX/va1+o9BOA91l9eC+vdyzWvvPJKZs6cWXtRqFarufHGG/OpT30qI0eOrPPotlw9jq/7Ptdn5syZOfDAA4uxdW/37hfparWa3/zmN73uq3u7arVa7GvtZX3lN7/5TZ544okccsgheeWVV3LDDTf0us62ZPny5bnuuusyYcKELF++PCtWrOhXP/nUW6VS2aR56ezs/L9/bO/TuNbx9TjuHcjax91fnzf96bVwowNh1apVPS4lVCqVrXaKqlqt5u///u/Xufzyyy9PpVLZKvdVD/U4vu59r169er3rrV69OtOmTSueLBvabn3725hlfeWSSy7JrFmz8r3vfa92FmRbd+211+baa6+t9zC2P6uTDKz3IN5Daz0NP/e5z9VvHP3EypUrM2jQoHoPo4f+9lq40YEwa9as3HrrrbV/jxo1KpdffvlWGcT8+fPz2GOPFctXr16dxx57LPPnz8/ee++9Ve6rHjbm+PbZZ58+uc/eLF26dKved3/yv//7v7nrrrvy+OOP13soAOvV314LNzoQTjrppIwfP772761ZMXvttVcOPfTQPPnkkz1+2mxoaMghhxySvfbaa6vdVz3U4/i673NjIqGtrS3Lli3bbn7CXltbW1vGjx+fhx9+eLuKhDvvvDN77LFHXn/99X57qrQeKpVKRowYsdHz0tnZ+X8/TTe8x4Ort7WO77bbbtuu3gC+sdb+793U1FTn0ZT622vhRgfCwIEDM3Dge3P+rVKp5Jvf/Ga+/OUvF8vPOeecbfryQlKf41v7Ptd3ir+hoSEXX3xxzj///GJ5sumXBxoaGlKtVnvERm/L+srFF1+choaGnHvuuTnttNO2iwj66le/mp133jmtra1paWkRCGupVCqbPy/b9reZDVvr+Jqbm3fI32JYW398Xelvr4X95rcYRo4cmYkTJ9YmoFKp5Itf/OJ28QbFpD7H132f6zNx4sQcfPDBxdgmTpzYY1m3SqWSsWPH9vpA7d5u0qRJxb7WXtZXxo4dm4MPPjjJ7+di0qRJva6zLWltbc0XvvCFeg8DeI/0p9fCfhMIye9frLp/R37o0KEbfHHb1tTj+Na+z6RnNa89ht7GtvayAQMG1G6bNm1aj3XXt926lnV/vb5o2JKgqFQqmTZtWo9l756Ldx/LtuDqq6+u9xCA91h/eS3sV4HQ3Nyc8847L8OHD8+555673V0jq8fxNTc351vf+lba29vT3t6eSZMm1b4+77zzamPobWxrL5s4cWLttu5thw8fnvPOOy/f+ta31rldb8vW3mbSpEm1a4HdlzWampp6jHXw4MEZNGhQBg0alKamplQqldq1uKFDh/bYduDAgalUKrVt1zcX5513Xtrb22vL1r6ENmjQoOJ6X1NTUyZPnrzBa5fv1anbD3/4w9v8+3GADesvr4X96pMUd2TmpXc7+ry8+5PfuuNjR5+XdfFJihu3b5+k2L8/SfG9tk1+kiIA0D8IBACgIBAAgIJAAAAKAgEAKAgEAKAgEACAgkAAAAoCAQAoCAQAoCAQAICCQAAACgIBACgIBACgIBAAgIJAAAAKAgEAKAgEAKAgEACAgkAAAAoCAQAoCAQAoCAQAICCQAAACgIBACgIBACgIBAAgIJAAAAKAgEAKAgEAKAgEACAgkAAAAoCAQAoCAQAoCAQAICCQAAACgIBACgIBACgIBAAgIJAAAAKAgEAKAgEAKAgEACAgkAAAAoCAQAoCAQAoCAQAICCQAAACgIBACgIBACgIBAAgIJAAAAKAgEAKAgEAKAgEACAgkAAAAoCAQAoCAQAoCAQAICCQAAACgIBACgIBACgIBAAgIJAAAAKAgEAKAgEAKAgEACAgkAAAAqN9R4AsG7Nzc2ZPXt27Wtg83k+bRqBAP1YpVJJS0tLvYcB2wXPp03jEgMAUBAIAEBBIAAABYEAABQEAgBQEAgAQEEgAAAFgQAAFAQCAFAQCABAQSAAAAWBAAAUBAIAUBAIAEBBIAAABYEAABQEAgBQEAgAQEEgAAAFgQAAFAQCAFAQCABAQSAAAAWBAAAUBAIAUBAIAEBBIAAABYEAABQEAgBQEAgAQEEgAAAFgQAAFAQCAFAQCABAQSAAAAWBAAAUBAIAUBAIAEBBIAAABYEAABQEAgBQEAgAQEEgAAAFgQAAFAQCAFAQCABAQSAAAAWBAAAUBAIAUBAIAEBBIAAABYEAABQEAgBQEAgAQEEgAAAFgQAAFAQCAFAQCABAQSAAAAWBAAAUBAIAUBAIAEBBIAAABYEAABQEAgBQEAgAQEEgAAAFgQAAFAQCAFBorPcAAPqDyupKqqnWdxBd6/h6K6isrmzdHbLdEwgASXb7+W71HkIPw34xrN5DYAfnEgMAUHAGAdhhNTc3Z/bs2fUeRk21Ws3KlSuTJE1NTalUts5lgUqlkhEjRuT1119PtVpNc3PzVtkv2zeBAOywKpVKWlpa6j2MHlpbW7f6PiuVSlpbW9PS0pJqtc7vs2Cb4RIDAFAQCABAQSAAAAWBAAAUBAIAUBAIAEBBIAAABYEAABQEAgBQEAgAQEEgAAAFgQAAFAQCAFAQCABAQSAAAAWBAAAUBAIAUBAIAEBBIAAABYEAABQEAgBQEAgAQEEgAAAFgQAAFAQCAFAQCABAQSAAAAWBAAAUBAIAUBAIAEBBIAAABYEAABQEAgBQaNziHTRu3i42d7vtnXnpnXnpnXnpnXnpnXnp3Y42Lxt7vJVqtVp9j8cCAGxj+vwSw4oVK3LBBRdkxYoVfX3X/Zp56Z156Z156Z156Z156Z15Wb8+D4RqtZoXX3wxTlz0ZF56Z156Z156Z156Z156Z17Wz5sUAYCCQAAACn0eCAMHDsznP//5DBw4sK/vul8zL70zL70zL70zL70zL70zL+vntxgAgIJLDABAQSAAAAWBAAAUBAIAUOizD6C+/PLLM2/evCxdujSDBg3K2LFjM2nSpOy66661dV566aXMmDEjzz//fNra2nLcccflxBNP7Ksh1sWCBQvyk5/8JE8//XQWL16cXXfdNUceeWQ+97nP1T4ve8GCBfnGN75RbDt9+vSMGTOmr4fcJzZmXpId8zFz22235cknn8y8efPS2NiYf/7nfy7WmTBhQrHsm9/8Zg4//PA+GGF9bMy8LFq0KNdcc02eeeaZNDc356ijjsrEiRPT0NDQ9wOuo69//etZuHBhj2UTJ07MZz/72foMqE5+9rOf5c4778zixYuz99575/TTT8/o0aPrPax+o88CYf/9989JJ52UXXbZJW+++WZ+/OMf52//9m8zffr0JMny5cszffr0jB07NlOmTMn8+fNz9dVXZ9CgQfnEJz7RV8Psc6+++mqq1Wq+8pWvZMSIEXn55ZfzT//0T+ns7Mxpp53WY92LLrooe+65Z+3fgwcP7uvh9pmNmZcd9THT1dWVww47LGPGjMkvfvGLda539tln56CDDqr9u7W1tQ9GVz8bmpc1a9bkr//6r9Pe3p7p06fnrbfeypVXXpmGhoZMnDixDiOurwkTJvR4njQ3N9dxNH3vkUceyXXXXZcpU6ako6Mjd999dy699NJ873vfy/ve9756D69f6LNAGD9+fO3r3XbbLZ/97GdzxRVXpKurK42NjXn44YfT1dWVs88+O42Njdlzzz0zb9683HXXXdv1N/uDDjqoxzfx4cOH59VXX829995bBMLOO++c9vb2vh1gnWzMvOyoj5nuswMPPPDAetdrbW3dYR4vyYbn5amnnsrvfve7XHTRRWlvb88+++yTL3zhC7nhhhsyYcKEHe4v+rW0tOxQj493u+uuu3LMMcfkYx/7WJJkypQpefLJJ3P//ffvcGdS1qUu70FYtmxZ/v3f/z1jxoypPSnnzp2b/fbbr8eT9MADD8yrr76aZcuW1WOYdbN8+fJezw5cfvnlOfPMM3PRRRfl8ccfr8PI6uvd8+Ixs34zZszIGWeckb/8y7/ML37xix3+8+bnzp2bvfbaq8eL4kEHHZQVK1bk5Zdfrt/A6uT222/P6aefnvPPPz933HFHVq9eXe8h9Zmurq688MILGTt2bG3ZgAEDMnbs2MydO7eOI+tf+jSZr7/++vzrv/5rVq5cmY6Ojnz3u9+t3bZ48eIMGzasx/rdT+TFixdv16fT1/b666/nnnvuyZe+9KXasubm5px22mnZd999U6lU8uijj+aKK67Id77znfzRH/1RHUfbd3qbF4+ZdZswYUL+4A/+IE1NTXnqqacyY8aMdHZ2Zty4cfUeWt0sXry4+Im5+1Ty4sWL+35AdfTpT386o0aNyuDBg/Pss8/mxhtvzFtvvZUvf/nL9R5an1i6dGnWrFlTPB7a29vz6quv1mdQ/dAWBcINN9yQn/70p+td5+/+7u8ycuTIJMkJJ5yQj3/841m0aFFuueWWXHnllfnud7+bSqWyJcPolzZ1bpLkzTffzKWXXpqPfOQjPU6Rt7W19bhEM3r06Lz11lu54447trlA2Jrzsj3ZnHlZn89//vO1r0eNGpWVK1fmzjvv3OYCYWvPy/ZsU+Zq7e8ne++9dxobG3PNNddk4sSJPnaYmi0KhOOPPz5HH330etcZPnx47eu2tra0tbVl9913z8iRI/O1r30tzz33XMaMGZP29vai4rv/vS1eJ9vUuXnzzTdzySWXZN99981XvvKVDe5/9OjRmTNnzpYOs89tzXnZnh4zmzovm6qjoyM/+clPsmrVqm3qBWBrzkt7e3t++9vf9li2ZMmS2m3bui2Zq46OjqxevToLFy7M7rvv/h6Mrn9pa2vLgAEDev3+sT08FraWLQqE7hf8zdF9PXTVqlVJkjFjxuTGG2+svWkxSebMmZPdd999mzxVvClz0/0iOGrUqJx99tkZMGDDbw2ZN29edtllly0dZp/bmvOyPT1mtuS5tDHmzZuXQYMGbVNxkGzdeRkzZkxuu+22LFmypHZpYc6cOWlpackee+yxVe6jnrZkrubNm5dKpfKePgb7k8bGxnzgAx/I008/nT/+4z9O8vvfcnn66adz3HHH1Xl0/UefvAfhueeey/PPP58PfehDGTRoUP7nf/4nN998c4YPH177Pf4jjjgit9xyS/7xH/8xJ554Yl5++eXcc8892/01sTfffDN/9Vd/ld122y2nnXZali5dWrutu2QfeOCBNDY2ZtSoUUmSRx99NPfff3+++tWv1mPIfWJj5mVHfcwsWrQoy5Yty6JFi7JmzZrMmzcvSTJixIg0Nzfn8ccfz5IlS9LR0ZGddtopc+bMyaxZs3L88cfXd+DvsQ3Ny4EHHpg99tgjV155ZSZNmpTFixfnpptuyqc+9altLpy2xNy5c/Pcc89l//33T0tLS+bOnZsf/ehHOfLII7e5sN4S48ePz1VXXZUPfOADGT16dGbPnp2VK1du8CzMjqRP/prj/Pnzc+211+all17KypUr097enoMOOignn3zyOj8oaeedd85xxx233f+6yQMPPJAf/OAHvd72L//yL7V1fvrTn2bRokUZMGBARo4cmRNOOCGHHXZYXw61T23MvCQ75mPmqquuyoMPPlgsv/jii7P//vvn17/+dWbOnJnXX3891Wo1I0aMyCc/+ckcc8wxG3V2alu1oXlJkoULF+aHP/xhnnnmmTQ1NeWoo47KpEmTdqgPSnrhhRcyY8aMvPLKK1m1alWGDRuW//f//l/Gjx+/Q4VS8vsPSrrjjjuyePHi7LPPPvmzP/uzdHR01HtY/YY/9wwAFLbfHycAgM0mEACAgkAAAAoCAQAoCAQAoCAQAICCQAAACgIBACgIBKDm61//eq666qp6DwPoBwQC1NkDDzyQCRMm5Pnnn6/3UABqBAIAUBAIAEChT/7cM7BlXnzxxdx444159tlns2bNmnR0dOTUU0+t/bn05Pd/5fLWW2/t8dcuk//7y5hXXnllhg0bliSpVqu57bbbct9992XZsmXp6OjI6aefXtxv97bTpk3Lo48+moceeijvvPNODjjggJx11llpa2vrsf6vfvWrzJo1Ky+++GIqlUr222+/TJ48OXvuuWdtncWLF2fmzJmZM2dOli5dmsGDB2f06NH50z/909r4nn/++dx000154YUX0tnZmfb29uy///45++yzt9qcAuvnDAL0cy+//HKmTp2al156KSeccEJOPvnkLFiwIJdcckmee+65zdrnzTffnJtvvjl77713Jk+enGHDhmX69Onp7Ozsdf3uP9d+yimn5Nhjj80TTzyRGTNm9FjnoYceymWXXZbm5uZMmjQpJ598cn73u99l6tSpWbBgQW29v/mbv8kvf/nLHH300TnzzDPz6U9/OitWrMiiRYuSJEuWLMn06dOzYMGCnHjiiTn99NNz5JFHbvaxApvHGQTo52666aasXr0606ZNy/Dhw5MkRx11VM4999xcf/31ueSSSzZpf0uXLs0dd9yRgw8+OBdccEEqlUqS5MYbb8ysWbN63Wbw4MG58MILa+tWq9Xcc889Wb58eVpbW9PZ2Zlrr702H//4x3PWWWfVtuse56xZs3LWWWfl7bffzrPPPpvJkyfnhBNOqK130kkn1b5+9tln8/bbb+fCCy/MBz/4wdryU089dZOOE9gyziBAP7ZmzZrMmTMnhx56aC0OkmSXXXbJ4Ycfnv/+7//O8uXLN2mfc+bMSVdXV4477rjaC36SfOYzn1nnNp/4xCd6rLvffvtlzZo1WbhwYW2fb7/9dg4//PAsXbq09r8BAwako6MjzzzzTJJkp512SmNjY/7zP/8zy5Yt6/W+Bg0alCR54okn0tXVtUnHBmw9ziBAP7Z06dKsXLkyu+++e3HbHnvskWq1mjfeeCOtra0bvc/uU/nvf//7eyxva2urvTi/29ChQ3v8u3u9t99+O0ny2muvJUmmTZvW6/YtLS1JkoEDB2bSpEm57rrrMmXKlIwZMyYHH3xwjjrqqLS3tydJPvzhD+dP/uRPcuutt+buu+/O/vvvn0MPPTRHHHFEBg4cuNHHCWwZgQDbibV/wl/bmjVrtnjfAwb0frKxWq32+P9vfOMbtRf6tTU0NNS+/sxnPpNDDjkkjz32WJ566qncfPPNuf322zN16tSMGjUqlUolf/EXf5G5c+fmiSeeyFNPPZWrr746d911Vy699NI0Nzdv8fEAGyYQoB9ra2tLU1NTXn311eK2V155JZVKJUOGDEnS86f6tc8EdF8G6NZ9NuC1117rcdli6dKltTMCm6p7P+973/tywAEHbHD9ESNG5Pjjj8/xxx+f1157Leeff37uvPPOnHPOObV1xowZkzFjxuSLX/xiHn744Xz/+9/Pf/zHf+SYY47ZrDECm8Z7EKAfGzBgQA444IA8/vjjPX4TYPHixXn44YfzoQ99qHZ5YcSIEUmS//qv/6qt19nZmQcffLDHPg844IA0NDTkZz/7We0n/yS5++67N3ucBx54YFpaWjJr1qxe3zewdOnSJMnKlSvzzjvv9Lht+PDhaW5urm23bNmyHuNKkn322SdJsmrVqs0eI7BpnEGAfuL+++/Pr3/962L5Kaeckjlz5mTq1Kn55Cc/mYaGhvzbv/1burq6Mnny5Np6BxxwQIYOHZqrr746J5xwQgYMGJD7778/bW1ttfcdJL8/K3H88cfn9ttvz2WXXZY//MM/zLx58/KrX/0qO++882aNvbW1NVOmTMk//MM/5IILLsjhhx9eu98nn3wy++67b84444y89tprmTZtWj7ykY9kjz32SENDQ375y19myZIl+ehHP5okefDBB3Pvvffm0EMPzYgRI7JixYr8/Oc/T0tLSw4++ODNGh+w6QQC9BP33ntvr8uPPvroTJs2LTNnzsztt9+earWa0aNH58///M/T0dFRW6+xsTHf/va3M2PGjNx8881pb2/PuHHjMnjw4PzgBz/osc9TTz01O+20U+67774888wz6ejoyIUXXpjLLrtss8d/xBFHZJdddsntt9+eO+64I6tWrcquu+6a/fbbLx/72MeSJEOGDMnhhx+ep59+Og899FAaGhoycuTInHfeeTnssMOS/P5Nir/97W/zyCOPZMmSJWltbc0HP/jBnHPOObUPUgLee5Xqu8/lAQA7PO9BAAAKAgEAKAgEAKAgEACAgkAAAAoCAQAoCAQAoCAQAICCQAAACgIBACgIBACgIBAAgML/B9T0uGI46CZhAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.boxplot(x = 'Loudness', data = df, color = 'green')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "Q1 = df['Loudness'].quantile(0.25)\n",
    "Q3 = df['Loudness'].quantile(0.75)\n",
    "IQR = Q3 - Q1\n",
    "\n",
    "filter = (df['Loudness'] >= Q1 - 1.5 * IQR) & (df['Loudness'] <= Q3 + 1.5 *IQR)\n",
    "df = df.loc[filter]  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "sns.histplot(data=df, x='Popularity', bins=30, kde=True)\n",
    "plt.ylabel('Frequency')\n",
    "plt.title('Distribution of Popularity')\n",
    "plt.xticks(rotation=45)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "artists = df.groupby('Artist Name(s)')\n",
    "popu = artists['Popularity'].mean()\n",
    "sortedpopu = popu.sort_values(ascending=False)\n",
    "top10 = sortedpopu.head(10)\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.bar(top10.index, top10.values, color='darkseagreen')\n",
    "plt.xlabel('Artist Name(s)')\n",
    "plt.ylabel('popularity')\n",
    "plt.title('Top 10 artists with Highest popularity')\n",
    "plt.xticks(rotation=45)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "artists = df.groupby('Artist Name(s)')\n",
    "popu = artists['Explicit'].mean()\n",
    "sortedpopu = popu.sort_values(ascending=False)\n",
    "top10 = sortedpopu.head(10)\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.bar(top10.index, top10.values, color='darkolivegreen')\n",
    "plt.xlabel('Artist Name(s)')\n",
    "plt.ylabel('popularity')\n",
    "plt.title('Top 10 artists with Highest Explicity')\n",
    "plt.xticks(rotation=45)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "artists = df.groupby('Artist Name(s)')\n",
    "popu = artists['Explicit'].mean()\n",
    "sortedpopu = popu.sort_values(ascending=True)\n",
    "bottom10 = sortedpopu.head(10) \n",
    "\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.bar(bottom10.index, bottom10.values, color='darkolivegreen')\n",
    "plt.xlabel('Artist Name(s)')\n",
    "plt.ylabel('Popularity')\n",
    "plt.title('Top 10 Artists with Least Explicit Songs')\n",
    "plt.xticks(rotation=45)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "artists = df.groupby('Artist Name(s)')\n",
    "popu = artists['Explicit'].mean()\n",
    "sortedpopu = popu.sort_values(ascending=False)\n",
    "top10 = sortedpopu.head(10)\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.bar(top10.index, top10.values, color='darkseagreen')\n",
    "plt.xlabel('Artist Name(s)')\n",
    "plt.ylabel('popularity')\n",
    "plt.title('Top 10 artists with Highest Explicity')\n",
    "plt.xticks(rotation=45)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1 :\n",
    "#### Null Hypothesis (H0):  \n",
    "average popularity is equal to 20.\n",
    "#### Alternative Hypothesis (H1):  \n",
    "average popularity is not equal to 20."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "T-Statistic value: 25.617228354657932\n",
      "P-value 3.219085528924617e-140\n"
     ]
    }
   ],
   "source": [
    "from scipy.stats import ttest_1samp\n",
    "\n",
    "pop = df['Popularity']\n",
    "null_hypothesis_mean = 30\n",
    "t_statistic, p_value = ttest_1samp(pop, null_hypothesis_mean)\n",
    "print(f\"T-Statistic value: {t_statistic}\")\n",
    "print(\"P-value\", p_value)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "given the result , the null hypothesis is strongly rejected."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2 :\n",
    "#### Null Hypothesis (H0):  \n",
    "hozier and metallica have approximately equal amount of popularity.\n",
    "#### Alternative Hypothesis (H1):  \n",
    "hozier and metallica do not have approximately equal amount of popularity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "hozier_df = df[df['Artist Name(s)'] == 'Hozier'].copy()\n",
    "metallica_df = df[df['Artist Name(s)'] == 'Metallica'].copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "T-statistic value:  4.007032802609447\n",
      "P-Value:  0.0008267775442258307\n"
     ]
    }
   ],
   "source": [
    "t_stat, p_value = ttest_ind(hozier_df['Popularity'], metallica_df['Popularity'])\n",
    "print(\"T-statistic value: \", t_stat)\n",
    "print(\"P-Value: \", p_value)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "given the small amount of p value. it strongly rejects the p-value indicating a significant difference in metallica and hozier popularity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "sns.histplot(data=hozier_df, x='Popularity', bins=30, kde=True)\n",
    "plt.ylabel('Frequency')\n",
    "plt.title('Distribution of Hozier songs popularity')\n",
    "plt.xticks(rotation=45)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "sns.histplot(data=metallica_df, x='Popularity', bins=30, kde=True)\n",
    "plt.ylabel('Frequency')\n",
    "plt.title('Distribution of metallica songs popularity')\n",
    "plt.xticks(rotation=45)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "F-Statistic: 29.552765838167154\n",
      "P-value: 5.5730349958131237e-08\n"
     ]
    }
   ],
   "source": [
    "from scipy.stats import f_oneway\n",
    "\n",
    "grouped_data = []\n",
    "\n",
    "for category in df['Explicit'].unique():\n",
    "    group = df[df['Explicit'] == category]['Popularity']\n",
    "    grouped_data.append(group)\n",
    "\n",
    "f_statistic, p_value = f_oneway(*grouped_data)\n",
    "\n",
    "print(f\"F-Statistic: {f_statistic}\")\n",
    "print(f\"P-value: {p_value}\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "avg_popularity = df.groupby('Explicit')['Popularity'].mean()\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.bar(avg_popularity.index, avg_popularity.values, color=['lightcoral', 'skyblue'])\n",
    "plt.xlabel('Explicit')\n",
    "plt.ylabel('Average Popularity')\n",
    "plt.title('Average Popularity of Explicit vs Non-Explicit Songs')\n",
    "plt.xticks([0, 1], ['False', 'True'])\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4 :\n",
    "#### Null Hypothesis (H0):  \n",
    "hozier popularity is normally distributed. \n",
    "#### Alternative Hypothesis (H1):  \n",
    "hozier popularity is not normally distributed. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test Statistic: 0.844019889831543\n",
      "p-value 0.17634379863739014\n"
     ]
    }
   ],
   "source": [
    "from scipy.stats import shapiro\n",
    "\n",
    "statistic, p_value = shapiro(hozier_df['Popularity'])\n",
    "\n",
    "print(f\"Test Statistic: {statistic}\")\n",
    "print(\"p-value\", p_value)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "we failed to reject the null hypothesis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5 :\n",
    "#### Null Hypothesis (H0):  \n",
    "explicit songs and non explicit songs have equal amount of loudness.\n",
    "#### Alternative Hypothesis (H1):  \n",
    "explicit songs and non explicit songs do not have equal amount of loudness."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [],
   "source": [
    "ex = df[df['Explicit'] == True].copy()\n",
    "non_ex = df[df['Explicit'] == False].copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "T-statistic value:  10.277180174632681\n",
      "P-Value:  1.1933254160360356e-24\n"
     ]
    }
   ],
   "source": [
    "t_stat, p_value = ttest_ind(ex['Loudness'], non_ex['Loudness'])\n",
    "print(\"T-statistic value: \", t_stat)\n",
    "print(\"P-Value: \", p_value)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "sns.histplot(data=ex, x='Loudness', bins=30, kde=True)\n",
    "plt.ylabel('Frequency')\n",
    "plt.title('Distribution of explicit loudness')\n",
    "plt.xticks(rotation=45)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "sns.histplot(data=non_ex, x='Loudness', bins=30, kde=True)\n",
    "plt.ylabel('Frequency')\n",
    "plt.title('Distribution of non-explicit loudness')\n",
    "plt.xticks(rotation=45)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}