pySpark.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "pySpark.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/ShachiniMekala/Google_PlayStore_Analysis/blob/Mekala/pySpark.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "t7X-8-qaHwu4"
      },
      "source": [
        "# Background Work"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "o1fRFZTdb-ZQ",
        "outputId": "35edec59-c8ec-490b-c838-227bbaf2a451"
      },
      "source": [
        "!apt install python3-wget"
      ],
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Reading package lists... Done\n",
            "Building dependency tree       \n",
            "Reading state information... Done\n",
            "The following package was automatically installed and is no longer required:\n",
            "  libnvidia-common-460\n",
            "Use 'apt autoremove' to remove it.\n",
            "The following additional packages will be installed:\n",
            "  python-asn1crypto python-cffi-backend python-cryptography python-enum34\n",
            "  python-idna python-ipaddress python-openssl python-six python-urllib3\n",
            "Suggested packages:\n",
            "  python-cryptography-doc python-cryptography-vectors python-enum34-doc\n",
            "  python-openssl-doc python-openssl-dbg python-ntlm python-socks\n",
            "The following NEW packages will be installed:\n",
            "  python-asn1crypto python-cffi-backend python-cryptography python-enum34\n",
            "  python-idna python-ipaddress python-openssl python-six python-urllib3\n",
            "  python3-wget\n",
            "0 upgraded, 10 newly installed, 0 to remove and 34 not upgraded.\n",
            "Need to get 647 kB of archives.\n",
            "After this operation, 3,808 kB of additional disk space will be used.\n",
            "Get:1 http://archive.ubuntu.com/ubuntu bionic/main amd64 python-asn1crypto all 0.24.0-1 [72.7 kB]\n",
            "Get:2 http://archive.ubuntu.com/ubuntu bionic/main amd64 python-cffi-backend amd64 1.11.5-1 [63.4 kB]\n",
            "Get:3 http://archive.ubuntu.com/ubuntu bionic/main amd64 python-enum34 all 1.1.6-2 [34.8 kB]\n",
            "Get:4 http://archive.ubuntu.com/ubuntu bionic/main amd64 python-idna all 2.6-1 [32.4 kB]\n",
            "Get:5 http://archive.ubuntu.com/ubuntu bionic/main amd64 python-ipaddress all 1.0.17-1 [18.2 kB]\n",
            "Get:6 http://archive.ubuntu.com/ubuntu bionic/main amd64 python-six all 1.11.0-2 [11.3 kB]\n",
            "Get:7 http://archive.ubuntu.com/ubuntu bionic-updates/main amd64 python-cryptography amd64 2.1.4-1ubuntu1.4 [276 kB]\n",
            "Get:8 http://archive.ubuntu.com/ubuntu bionic/main amd64 python-openssl all 17.5.0-1ubuntu1 [41.3 kB]\n",
            "Get:9 http://archive.ubuntu.com/ubuntu bionic-updates/main amd64 python-urllib3 all 1.22-1ubuntu0.18.04.2 [86.0 kB]\n",
            "Get:10 http://archive.ubuntu.com/ubuntu bionic/universe amd64 python3-wget all 3.2-1 [11.3 kB]\n",
            "Fetched 647 kB in 1s (673 kB/s)\n",
            "Selecting previously unselected package python-asn1crypto.\n",
            "(Reading database ... 160706 files and directories currently installed.)\n",
            "Preparing to unpack .../0-python-asn1crypto_0.24.0-1_all.deb ...\n",
            "Unpacking python-asn1crypto (0.24.0-1) ...\n",
            "Selecting previously unselected package python-cffi-backend.\n",
            "Preparing to unpack .../1-python-cffi-backend_1.11.5-1_amd64.deb ...\n",
            "Unpacking python-cffi-backend (1.11.5-1) ...\n",
            "Selecting previously unselected package python-enum34.\n",
            "Preparing to unpack .../2-python-enum34_1.1.6-2_all.deb ...\n",
            "Unpacking python-enum34 (1.1.6-2) ...\n",
            "Selecting previously unselected package python-idna.\n",
            "Preparing to unpack .../3-python-idna_2.6-1_all.deb ...\n",
            "Unpacking python-idna (2.6-1) ...\n",
            "Selecting previously unselected package python-ipaddress.\n",
            "Preparing to unpack .../4-python-ipaddress_1.0.17-1_all.deb ...\n",
            "Unpacking python-ipaddress (1.0.17-1) ...\n",
            "Selecting previously unselected package python-six.\n",
            "Preparing to unpack .../5-python-six_1.11.0-2_all.deb ...\n",
            "Unpacking python-six (1.11.0-2) ...\n",
            "Selecting previously unselected package python-cryptography.\n",
            "Preparing to unpack .../6-python-cryptography_2.1.4-1ubuntu1.4_amd64.deb ...\n",
            "Unpacking python-cryptography (2.1.4-1ubuntu1.4) ...\n",
            "Selecting previously unselected package python-openssl.\n",
            "Preparing to unpack .../7-python-openssl_17.5.0-1ubuntu1_all.deb ...\n",
            "Unpacking python-openssl (17.5.0-1ubuntu1) ...\n",
            "Selecting previously unselected package python-urllib3.\n",
            "Preparing to unpack .../8-python-urllib3_1.22-1ubuntu0.18.04.2_all.deb ...\n",
            "Unpacking python-urllib3 (1.22-1ubuntu0.18.04.2) ...\n",
            "Selecting previously unselected package python3-wget.\n",
            "Preparing to unpack .../9-python3-wget_3.2-1_all.deb ...\n",
            "Unpacking python3-wget (3.2-1) ...\n",
            "Setting up python-idna (2.6-1) ...\n",
            "Setting up python-asn1crypto (0.24.0-1) ...\n",
            "Setting up python-cffi-backend (1.11.5-1) ...\n",
            "Setting up python-six (1.11.0-2) ...\n",
            "Setting up python-enum34 (1.1.6-2) ...\n",
            "Setting up python-ipaddress (1.0.17-1) ...\n",
            "Setting up python-urllib3 (1.22-1ubuntu0.18.04.2) ...\n",
            "Setting up python-cryptography (2.1.4-1ubuntu1.4) ...\n",
            "Setting up python3-wget (3.2-1) ...\n",
            "Setting up python-openssl (17.5.0-1ubuntu1) ...\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9JJp7wCGb9uI",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "84a1a829-c7e3-4bb6-8782-2415e45159a7"
      },
      "source": [
        "import wget\n",
        "def bar_custom(current, total, width=80):\n",
        "    print_str=(\"\\r\\rDownloading: %d%% [%dM / %dM] bytes\" % (current / total * 100, current/(1024*1024), total/(1024*1024)))\n",
        "    print (len(print_str)*'\\b',print_str, end =\"\")\n",
        "#Now use this like below,\n",
        "url = 'https://storage.googleapis.com/kaggle-data-sets/157336/1712743/compressed/Google-Playstore.csv.zip?X-Goog-Algorithm=GOOG4-RSA-SHA256&X-Goog-Credential=gcp-kaggle-com%40kaggle-161607.iam.gserviceaccount.com%2F20210520%2Fauto%2Fstorage%2Fgoog4_request&X-Goog-Date=20210520T181359Z&X-Goog-Expires=259199&X-Goog-SignedHeaders=host&X-Goog-Signature=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'\n",
        "save_path = \"/content/\"\n",
        "wget.download(url, save_path, bar=bar_custom)\n",
        "\n",
        "print('\\nfinished...!')"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Downloading: 100% [61M / 61M] bytes\n",
            "finished...!\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9IDr5p0JT9mo",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "8f33ad4e-e115-4770-c39c-a830d28bd464"
      },
      "source": [
        "!unzip \"/content/Google-Playstore.csv.zip\""
      ],
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Archive:  /content/Google-Playstore.csv.zip\n",
            "  inflating: Google-Playstore.csv    \n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8ACRtYlMUDKS"
      },
      "source": [
        "!apt-get install openjdk-8-jdk-headless -qq > /dev/null"
      ],
      "execution_count": 4,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PkgvH9OVUFD9"
      },
      "source": [
        "!wget -q https://downloads.apache.org/spark/spark-3.1.1/spark-3.1.1-bin-hadoop2.7.tgz"
      ],
      "execution_count": 5,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "EPNluTmdUzhZ"
      },
      "source": [
        "!tar xf spark-3.1.1-bin-hadoop2.7.tgz"
      ],
      "execution_count": 6,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "IK__0psSVBOo"
      },
      "source": [
        "!pip install -q findspark"
      ],
      "execution_count": 7,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "QFDYNt1mVVFZ"
      },
      "source": [
        "import os\n",
        "os.environ[\"JAVA_HOME\"] = \"/usr/lib/jvm/java-8-openjdk-amd64\"\n",
        "os.environ[\"SPARK_HOME\"] = \"/content/spark-3.1.1-bin-hadoop2.7\""
      ],
      "execution_count": 8,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Roni5EHvV8Mg"
      },
      "source": [
        "import findspark\n",
        "findspark.init()"
      ],
      "execution_count": 9,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "fcoxfyR3XWmA",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        },
        "outputId": "efc5ceeb-9f35-4a5c-ae2f-9c6a92955334"
      },
      "source": [
        "findspark.find()"
      ],
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "string"
            },
            "text/plain": [
              "'/content/spark-3.1.1-bin-hadoop2.7'"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 10
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "w1t1id8mXbqv"
      },
      "source": [
        "from pyspark.sql import SparkSession\n",
        "from pyspark.sql.functions import isnan, when, count, col, regexp_replace, lit, round, length, trim, concat, to_date\n",
        "from pyspark.sql.types import StringType, BooleanType, IntegerType, FloatType, DecimalType, DateType, DoubleType, LongType\n",
        "from pyspark.ml.feature import Imputer"
      ],
      "execution_count": 11,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "nAl0UlpOXjp_"
      },
      "source": [
        "spark = SparkSession.builder.appName(\"Data Preprocessing\").getOrCreate()"
      ],
      "execution_count": 13,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "UdYmQDGZXmTv"
      },
      "source": [
        "dataset = spark.read.format('com.databricks.spark.csv').options(header='true', inferschema='true', quote='\"',\n",
        "                                                                delimiter=',').load('/content/Google-Playstore.csv')"
      ],
      "execution_count": 14,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "0DX_13NmVuVh",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "7587ca57-d71c-4ba6-c1dd-8e3c25df82e6"
      },
      "source": [
        "from google.colab import drive\n",
        "drive.mount('/content/gdrive')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Mounted at /content/gdrive\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ndnkKvamAMNi"
      },
      "source": [
        "# Data Preprocessing"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Oms6fcJSYibp"
      },
      "source": [
        "# Drop duplicate values"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "RSOqI3ZJYkGf"
      },
      "source": [
        "# print('\\nOriginal count: ', dataset.count())\n",
        "dataset = dataset.dropDuplicates()\n",
        "# print('\\nAfter removing duplicate values: ', dataset.count())"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "vFrQBX9JYsJe"
      },
      "source": [
        "# Drop unwanted columns"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "YQ5IUH2iTt5Z",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "079b9b5b-5746-4159-9a3a-1174da277518"
      },
      "source": [
        "dataset = dataset.drop('Installs', 'Minimum Installs', 'Price', 'Currency', 'Developer Website',\n",
        "                       'Developer Email', 'Privacy Policy', 'Editors Choice')\n",
        "dataset.show()\n",
        "print('Unwanted columns dropped')\n",
        "print(dataset.count())"
      ],
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+------------------+------------------+--------------------+------------+------------+--------------+------------+----------------+\n",
            "|                             App Name|              App Id|         Category|Rating|Rating Count|Maximum Installs|Free|              Size|   Minimum Android|        Developer Id|    Released|Last Updated|Content Rating|Ad Supported|In App Purchases|\n",
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+------------------+------------------+--------------------+------------+------------+--------------+------------+----------------+\n",
            "|                 HTTrack Website C...| com.httrack.android|    Communication|   3.6|        2848|          351560|True|              2.7M|        2.3 and up|        Xavier Roche|Aug 12, 2013|May 20, 2017|      Everyone|       False|           False|\n",
            "|                 World War 2: Offl...|     com.skizze.wwii|         Strategy|   4.3|       17297|         2161778|True|               86M|        5.1 and up|        Skizze Games|Jul 19, 2018|Nov 26, 2020|  Everyone 10+|        True|            True|\n",
            "|                               WPSApp|com.themausoft.wp...|            Tools|   4.2|      488639|        79304739|True|              5.8M|        4.1 and up|          TheMauSoft| Mar 7, 2016|Oct 21, 2020|      Everyone|        True|           False|\n",
            "|                 OfficeSuite - Off...|com.mobisystems.o...|         Business|   4.2|     1224420|       163660067|True|               59M|        4.4 and up|         MobiSystems|Dec 22, 2011|Nov 23, 2020|      Everyone|        True|            True|\n",
            "|                     Loud Player Free|com.arthelion.lou...|    Music & Audio|   4.2|         665|           73463|True|               29M|        5.0 and up|         Arthelion92|Sep 24, 2016|Nov 22, 2020|      Everyone|       False|           False|\n",
            "|                             eCharge+|  com.innogy.echarge|Maps & Navigation|   3.5|         377|           38029|True|               12M|        6.0 and up|innogy eMobility ...| Feb 4, 2019|Nov 06, 2020|      Everyone|       False|           False|\n",
            "|                 Jobonji: hire loc...|    com.pack.jobonji|        Lifestyle|   4.4|        3346|          224897|True|              9.4M|        5.0 and up|        Jobonji, Inc|Jan 10, 2018|Sep 30, 2019|      Everyone|       False|            True|\n",
            "|                 Little Panda’s Dr...|com.sinyee.babybu...|      Educational|   4.0|       44700|        29969311|True|               90M|        4.2 and up|             BabyBus|Aug 16, 2018|Sep 29, 2020|      Everyone|        True|            True|\n",
            "|                 Baby Panda: Denta...|com.sinyee.babybu...|      Educational|   4.1|       10990|        12520805|True|               87M|        4.2 and up|             BabyBus|Apr 27, 2020|Sep 29, 2020|      Everyone|        True|            True|\n",
            "|                         Excel Reader|com.xcelfilereaderMS|            Tools|   3.3|        1141|          193274|True|              3.3M|        5.0 and up|      SphereLix Apps|Jan 13, 2020|Jun 25, 2020|      Everyone|        True|           False|\n",
            "|                 AndroXLS editor f...|com.entertain.and...|     Productivity|   3.0|        8831|         6286237|True|              8.4M|        4.1 and up|OffiDocs Mobile Apps|Dec 19, 2016|Oct 21, 2020|      Everyone|        True|           False|\n",
            "|                 Office HD: Presen...|softmaker.applica...|         Business|   3.1|         768|          180332|True|               21M|        4.0 and up|SoftMaker Softwar...| Oct 5, 2015|Jun 27, 2017|      Everyone|       False|            True|\n",
            "|ウーマンエキサイト：愛あるセレクト...|jp.co.excite.woma...| News & Magazines|   3.2|         200|           94585|True|               16M|        4.4 and up|Excite Japan Co.,...|May 20, 2012|Nov 24, 2020|      Everyone|        True|            True|\n",
            "|                        Google Slides|com.google.androi...|     Productivity|   4.2|      448679|       800199122|True|Varies with device|        6.0 and up|          Google LLC|Jun 25, 2014|Nov 24, 2020|      Everyone|       False|           False|\n",
            "|                 Grab - Transport,...|com.grabtaxi.pass...|Maps & Navigation|   4.4|     6088890|       165573138|True|              153M|        5.0 and up|       Grab Holdings|May 30, 2013|Nov 23, 2020|      Everyone|       False|           False|\n",
            "|                 Gofood - Food del...| com.customer.gofood|     Food & Drink|   2.8|         192|           50401|True|               26M|        5.0 and up|    Gofood Solutions|Jun 18, 2020|Oct 16, 2020|      Everyone|       False|           False|\n",
            "|                 Truecaller: Calle...|      com.truecaller|    Communication|   4.4|    14074045|       681961526|True|               87M|        5.1 and up|          Truecaller|May 31, 2012|Nov 23, 2020|      Everyone|        True|            True|\n",
            "|                             Snapseed|com.niksoftware.s...|      Photography|   4.5|     1281438|       181354482|True|Varies with device|Varies with device|          Google LLC| Dec 6, 2012|Apr 14, 2020|      Everyone|       False|           False|\n",
            "|                 3D Digital Clock ...|style_7.a3ddigita...|            Tools|   4.3|         574|          148146|True|              1.5M|        4.0 and up|             Style-7|Jan 16, 2019|Jan 02, 2020|      Everyone|        True|           False|\n",
            "|                 Internet speed te...|com.internet.spee...|            Tools|   4.9|      329074|        13161972|True|              8.1M|        5.0 and up|Test speed intern...|Jan 16, 2019|Nov 16, 2020|          Teen|        True|            True|\n",
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+------------------+------------------+--------------------+------------+------------+--------------+------------+----------------+\n",
            "only showing top 20 rows\n",
            "\n",
            "Unwanted columns dropped\n",
            "1118136\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Lft-umDwYSBv"
      },
      "source": [
        "# Drop Null values"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "vaXzA3uyYGMw",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "28dd29c0-39ff-4ded-8a43-34a2a900fd84"
      },
      "source": [
        "dataset = dataset.na.drop(how='any', subset=['Category', 'Developer Id', 'Ad Supported', 'In App Purchases', 'Rating', 'Rating Count'])\n",
        "dataset.show()\n",
        "print('Null values dropped')"
      ],
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+------------------+------------------+--------------------+------------+------------+--------------+------------+----------------+\n",
            "|                             App Name|              App Id|         Category|Rating|Rating Count|Maximum Installs|Free|              Size|   Minimum Android|        Developer Id|    Released|Last Updated|Content Rating|Ad Supported|In App Purchases|\n",
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+------------------+------------------+--------------------+------------+------------+--------------+------------+----------------+\n",
            "|                 HTTrack Website C...| com.httrack.android|    Communication|   3.6|        2848|          351560|True|              2.7M|        2.3 and up|        Xavier Roche|Aug 12, 2013|May 20, 2017|      Everyone|       False|           False|\n",
            "|                 World War 2: Offl...|     com.skizze.wwii|         Strategy|   4.3|       17297|         2161778|True|               86M|        5.1 and up|        Skizze Games|Jul 19, 2018|Nov 26, 2020|  Everyone 10+|        True|            True|\n",
            "|                               WPSApp|com.themausoft.wp...|            Tools|   4.2|      488639|        79304739|True|              5.8M|        4.1 and up|          TheMauSoft| Mar 7, 2016|Oct 21, 2020|      Everyone|        True|           False|\n",
            "|                 OfficeSuite - Off...|com.mobisystems.o...|         Business|   4.2|     1224420|       163660067|True|               59M|        4.4 and up|         MobiSystems|Dec 22, 2011|Nov 23, 2020|      Everyone|        True|            True|\n",
            "|                     Loud Player Free|com.arthelion.lou...|    Music & Audio|   4.2|         665|           73463|True|               29M|        5.0 and up|         Arthelion92|Sep 24, 2016|Nov 22, 2020|      Everyone|       False|           False|\n",
            "|                             eCharge+|  com.innogy.echarge|Maps & Navigation|   3.5|         377|           38029|True|               12M|        6.0 and up|innogy eMobility ...| Feb 4, 2019|Nov 06, 2020|      Everyone|       False|           False|\n",
            "|                 Jobonji: hire loc...|    com.pack.jobonji|        Lifestyle|   4.4|        3346|          224897|True|              9.4M|        5.0 and up|        Jobonji, Inc|Jan 10, 2018|Sep 30, 2019|      Everyone|       False|            True|\n",
            "|                 Little Panda’s Dr...|com.sinyee.babybu...|      Educational|   4.0|       44700|        29969311|True|               90M|        4.2 and up|             BabyBus|Aug 16, 2018|Sep 29, 2020|      Everyone|        True|            True|\n",
            "|                 Baby Panda: Denta...|com.sinyee.babybu...|      Educational|   4.1|       10990|        12520805|True|               87M|        4.2 and up|             BabyBus|Apr 27, 2020|Sep 29, 2020|      Everyone|        True|            True|\n",
            "|                         Excel Reader|com.xcelfilereaderMS|            Tools|   3.3|        1141|          193274|True|              3.3M|        5.0 and up|      SphereLix Apps|Jan 13, 2020|Jun 25, 2020|      Everyone|        True|           False|\n",
            "|                 AndroXLS editor f...|com.entertain.and...|     Productivity|   3.0|        8831|         6286237|True|              8.4M|        4.1 and up|OffiDocs Mobile Apps|Dec 19, 2016|Oct 21, 2020|      Everyone|        True|           False|\n",
            "|                 Office HD: Presen...|softmaker.applica...|         Business|   3.1|         768|          180332|True|               21M|        4.0 and up|SoftMaker Softwar...| Oct 5, 2015|Jun 27, 2017|      Everyone|       False|            True|\n",
            "|ウーマンエキサイト：愛あるセレクト...|jp.co.excite.woma...| News & Magazines|   3.2|         200|           94585|True|               16M|        4.4 and up|Excite Japan Co.,...|May 20, 2012|Nov 24, 2020|      Everyone|        True|            True|\n",
            "|                        Google Slides|com.google.androi...|     Productivity|   4.2|      448679|       800199122|True|Varies with device|        6.0 and up|          Google LLC|Jun 25, 2014|Nov 24, 2020|      Everyone|       False|           False|\n",
            "|                 Grab - Transport,...|com.grabtaxi.pass...|Maps & Navigation|   4.4|     6088890|       165573138|True|              153M|        5.0 and up|       Grab Holdings|May 30, 2013|Nov 23, 2020|      Everyone|       False|           False|\n",
            "|                 Gofood - Food del...| com.customer.gofood|     Food & Drink|   2.8|         192|           50401|True|               26M|        5.0 and up|    Gofood Solutions|Jun 18, 2020|Oct 16, 2020|      Everyone|       False|           False|\n",
            "|                 Truecaller: Calle...|      com.truecaller|    Communication|   4.4|    14074045|       681961526|True|               87M|        5.1 and up|          Truecaller|May 31, 2012|Nov 23, 2020|      Everyone|        True|            True|\n",
            "|                             Snapseed|com.niksoftware.s...|      Photography|   4.5|     1281438|       181354482|True|Varies with device|Varies with device|          Google LLC| Dec 6, 2012|Apr 14, 2020|      Everyone|       False|           False|\n",
            "|                 3D Digital Clock ...|style_7.a3ddigita...|            Tools|   4.3|         574|          148146|True|              1.5M|        4.0 and up|             Style-7|Jan 16, 2019|Jan 02, 2020|      Everyone|        True|           False|\n",
            "|                 Internet speed te...|com.internet.spee...|            Tools|   4.9|      329074|        13161972|True|              8.1M|        5.0 and up|Test speed intern...|Jan 16, 2019|Nov 16, 2020|          Teen|        True|            True|\n",
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+------------------+------------------+--------------------+------------+------------+--------------+------------+----------------+\n",
            "only showing top 20 rows\n",
            "\n",
            "Null values dropped\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "GeWU9-1mHjpP"
      },
      "source": [
        "# Get null count"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "AlVtp0xEHmh3",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "9e403891-751b-49ca-cb28-daafd911cb69"
      },
      "source": [
        "dataset.select([count(when(col(c).isNull(), c)).alias(c) for c in dataset.columns]).show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "+--------+------+--------+------+------------+----------------+----+----+---------------+------------+--------+------------+--------------+------------+----------------+\n",
            "|App Name|App Id|Category|Rating|Rating Count|Maximum Installs|Free|Size|Minimum Android|Developer Id|Released|Last Updated|Content Rating|Ad Supported|In App Purchases|\n",
            "+--------+------+--------+------+------------+----------------+----+----+---------------+------------+--------+------------+--------------+------------+----------------+\n",
            "|       0|     0|       0|     0|           0|               0|   0|   0|              0|           0|       0|           0|             0|           0|               0|\n",
            "+--------+------+--------+------+------------+----------------+----+----+---------------+------------+--------+------------+--------------+------------+----------------+\n",
            "\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "YZogKiYSDIDL"
      },
      "source": [
        "# Data Cleaning for \"Free\" column"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "dh-v2VhFDOhh",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "8b6c3c80-f7ea-49bb-bd08-fd5c41d5e25b"
      },
      "source": [
        "dataset = dataset.filter(\n",
        "    dataset['Free'].contains('True') |\n",
        "    dataset['Free'].contains('False')\n",
        ")\n",
        "dataset.show()"
      ],
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+------------------+------------------+--------------------+------------+------------+--------------+------------+----------------+\n",
            "|                             App Name|              App Id|         Category|Rating|Rating Count|Maximum Installs|Free|              Size|   Minimum Android|        Developer Id|    Released|Last Updated|Content Rating|Ad Supported|In App Purchases|\n",
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+------------------+------------------+--------------------+------------+------------+--------------+------------+----------------+\n",
            "|                 HTTrack Website C...| com.httrack.android|    Communication|   3.6|        2848|          351560|True|              2.7M|        2.3 and up|        Xavier Roche|Aug 12, 2013|May 20, 2017|      Everyone|       False|           False|\n",
            "|                 World War 2: Offl...|     com.skizze.wwii|         Strategy|   4.3|       17297|         2161778|True|               86M|        5.1 and up|        Skizze Games|Jul 19, 2018|Nov 26, 2020|  Everyone 10+|        True|            True|\n",
            "|                               WPSApp|com.themausoft.wp...|            Tools|   4.2|      488639|        79304739|True|              5.8M|        4.1 and up|          TheMauSoft| Mar 7, 2016|Oct 21, 2020|      Everyone|        True|           False|\n",
            "|                 OfficeSuite - Off...|com.mobisystems.o...|         Business|   4.2|     1224420|       163660067|True|               59M|        4.4 and up|         MobiSystems|Dec 22, 2011|Nov 23, 2020|      Everyone|        True|            True|\n",
            "|                     Loud Player Free|com.arthelion.lou...|    Music & Audio|   4.2|         665|           73463|True|               29M|        5.0 and up|         Arthelion92|Sep 24, 2016|Nov 22, 2020|      Everyone|       False|           False|\n",
            "|                             eCharge+|  com.innogy.echarge|Maps & Navigation|   3.5|         377|           38029|True|               12M|        6.0 and up|innogy eMobility ...| Feb 4, 2019|Nov 06, 2020|      Everyone|       False|           False|\n",
            "|                 Jobonji: hire loc...|    com.pack.jobonji|        Lifestyle|   4.4|        3346|          224897|True|              9.4M|        5.0 and up|        Jobonji, Inc|Jan 10, 2018|Sep 30, 2019|      Everyone|       False|            True|\n",
            "|                 Little Panda’s Dr...|com.sinyee.babybu...|      Educational|   4.0|       44700|        29969311|True|               90M|        4.2 and up|             BabyBus|Aug 16, 2018|Sep 29, 2020|      Everyone|        True|            True|\n",
            "|                 Baby Panda: Denta...|com.sinyee.babybu...|      Educational|   4.1|       10990|        12520805|True|               87M|        4.2 and up|             BabyBus|Apr 27, 2020|Sep 29, 2020|      Everyone|        True|            True|\n",
            "|                         Excel Reader|com.xcelfilereaderMS|            Tools|   3.3|        1141|          193274|True|              3.3M|        5.0 and up|      SphereLix Apps|Jan 13, 2020|Jun 25, 2020|      Everyone|        True|           False|\n",
            "|                 AndroXLS editor f...|com.entertain.and...|     Productivity|   3.0|        8831|         6286237|True|              8.4M|        4.1 and up|OffiDocs Mobile Apps|Dec 19, 2016|Oct 21, 2020|      Everyone|        True|           False|\n",
            "|                 Office HD: Presen...|softmaker.applica...|         Business|   3.1|         768|          180332|True|               21M|        4.0 and up|SoftMaker Softwar...| Oct 5, 2015|Jun 27, 2017|      Everyone|       False|            True|\n",
            "|ウーマンエキサイト：愛あるセレクト...|jp.co.excite.woma...| News & Magazines|   3.2|         200|           94585|True|               16M|        4.4 and up|Excite Japan Co.,...|May 20, 2012|Nov 24, 2020|      Everyone|        True|            True|\n",
            "|                        Google Slides|com.google.androi...|     Productivity|   4.2|      448679|       800199122|True|Varies with device|        6.0 and up|          Google LLC|Jun 25, 2014|Nov 24, 2020|      Everyone|       False|           False|\n",
            "|                 Grab - Transport,...|com.grabtaxi.pass...|Maps & Navigation|   4.4|     6088890|       165573138|True|              153M|        5.0 and up|       Grab Holdings|May 30, 2013|Nov 23, 2020|      Everyone|       False|           False|\n",
            "|                 Gofood - Food del...| com.customer.gofood|     Food & Drink|   2.8|         192|           50401|True|               26M|        5.0 and up|    Gofood Solutions|Jun 18, 2020|Oct 16, 2020|      Everyone|       False|           False|\n",
            "|                 Truecaller: Calle...|      com.truecaller|    Communication|   4.4|    14074045|       681961526|True|               87M|        5.1 and up|          Truecaller|May 31, 2012|Nov 23, 2020|      Everyone|        True|            True|\n",
            "|                             Snapseed|com.niksoftware.s...|      Photography|   4.5|     1281438|       181354482|True|Varies with device|Varies with device|          Google LLC| Dec 6, 2012|Apr 14, 2020|      Everyone|       False|           False|\n",
            "|                 3D Digital Clock ...|style_7.a3ddigita...|            Tools|   4.3|         574|          148146|True|              1.5M|        4.0 and up|             Style-7|Jan 16, 2019|Jan 02, 2020|      Everyone|        True|           False|\n",
            "|                 Internet speed te...|com.internet.spee...|            Tools|   4.9|      329074|        13161972|True|              8.1M|        5.0 and up|Test speed intern...|Jan 16, 2019|Nov 16, 2020|          Teen|        True|            True|\n",
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+------------------+------------------+--------------------+------------+------------+--------------+------------+----------------+\n",
            "only showing top 20 rows\n",
            "\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "MAlhJhQmJgxN"
      },
      "source": [
        "# Data cleaning for \"Category\" column"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VHNb7WNvJgSO",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "459cd463-0c03-4c4a-b9fb-0ab70050cc4e"
      },
      "source": [
        "dataset = dataset.filter(\n",
        "    dataset.Category.contains('Communication') |\n",
        "    dataset.Category.contains('Strategy') |\n",
        "    dataset.Category.contains('Tools') |\n",
        "    dataset.Category.contains('Music & Audio') |\n",
        "    dataset.Category.contains('Maps & Navigation') |\n",
        "    dataset.Category.contains('Lifestyle') |\n",
        "    dataset.Category.contains('Educational') |\n",
        "    dataset.Category.contains('Education') |\n",
        "    dataset.Category.contains('Productivity') |\n",
        "    dataset.Category.contains('Business') |\n",
        "    dataset.Category.contains('Board') |\n",
        "    dataset.Category.contains('Sports') |\n",
        "    dataset.Category.contains('Medical') |\n",
        "    dataset.Category.contains('Finance') |\n",
        "    dataset.Category.contains('Parenting') |\n",
        "    dataset.Category.contains('Puzzle') |\n",
        "    dataset.Category.contains('Casual') |\n",
        "    dataset.Category.contains('Events') |\n",
        "    dataset.Category.contains('Music') |\n",
        "    dataset.Category.contains('Trivia') |\n",
        "    dataset.Category.contains('Arcade') |\n",
        "    dataset.Category.contains('Personalization') |\n",
        "    dataset.Category.contains('Entertainment') |\n",
        "    dataset.Category.contains('Action') |\n",
        "    dataset.Category.contains('Travel & Local') |\n",
        "    dataset.Category.contains('Auto & Vehicles') |\n",
        "    dataset.Category.contains('Health & Fitness') |\n",
        "    dataset.Category.contains('House & Home') |\n",
        "    dataset.Category.contains('News & Magazines') |\n",
        "    dataset.Category.contains('Food & Drink') |\n",
        "    dataset.Category.contains('Books & Reference') |\n",
        "    dataset.Category.contains('Shopping') |\n",
        "    dataset.Category.contains('Simulation') |\n",
        "    dataset.Category.contains('Racing') |\n",
        "    dataset.Category.contains('Weather') |\n",
        "    dataset.Category.contains('Adventure') |\n",
        "    dataset.Category.contains('Social') |\n",
        "    dataset.Category.contains('Word') |\n",
        "    dataset.Category.contains('Comics') |\n",
        "    dataset.Category.contains('Card') |\n",
        "    dataset.Category.contains('Casino') |\n",
        "    dataset.Category.contains('Beauty') |\n",
        "    dataset.Category.contains('Dating') |\n",
        "    dataset.Category.contains('Libraries & Demo') |\n",
        "    dataset.Category.contains('Video Players & Editors') |\n",
        "    dataset.Category.contains('Art & Design') |\n",
        "    dataset.Category.contains('Role Playing') |\n",
        "    dataset.Category.contains('Photography')\n",
        ")\n",
        "dataset.show()"
      ],
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+------------------+------------------+--------------------+------------+------------+--------------+------------+----------------+\n",
            "|                             App Name|              App Id|         Category|Rating|Rating Count|Maximum Installs|Free|              Size|   Minimum Android|        Developer Id|    Released|Last Updated|Content Rating|Ad Supported|In App Purchases|\n",
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+------------------+------------------+--------------------+------------+------------+--------------+------------+----------------+\n",
            "|                 HTTrack Website C...| com.httrack.android|    Communication|   3.6|        2848|          351560|True|              2.7M|        2.3 and up|        Xavier Roche|Aug 12, 2013|May 20, 2017|      Everyone|       False|           False|\n",
            "|                 World War 2: Offl...|     com.skizze.wwii|         Strategy|   4.3|       17297|         2161778|True|               86M|        5.1 and up|        Skizze Games|Jul 19, 2018|Nov 26, 2020|  Everyone 10+|        True|            True|\n",
            "|                               WPSApp|com.themausoft.wp...|            Tools|   4.2|      488639|        79304739|True|              5.8M|        4.1 and up|          TheMauSoft| Mar 7, 2016|Oct 21, 2020|      Everyone|        True|           False|\n",
            "|                 OfficeSuite - Off...|com.mobisystems.o...|         Business|   4.2|     1224420|       163660067|True|               59M|        4.4 and up|         MobiSystems|Dec 22, 2011|Nov 23, 2020|      Everyone|        True|            True|\n",
            "|                     Loud Player Free|com.arthelion.lou...|    Music & Audio|   4.2|         665|           73463|True|               29M|        5.0 and up|         Arthelion92|Sep 24, 2016|Nov 22, 2020|      Everyone|       False|           False|\n",
            "|                             eCharge+|  com.innogy.echarge|Maps & Navigation|   3.5|         377|           38029|True|               12M|        6.0 and up|innogy eMobility ...| Feb 4, 2019|Nov 06, 2020|      Everyone|       False|           False|\n",
            "|                 Jobonji: hire loc...|    com.pack.jobonji|        Lifestyle|   4.4|        3346|          224897|True|              9.4M|        5.0 and up|        Jobonji, Inc|Jan 10, 2018|Sep 30, 2019|      Everyone|       False|            True|\n",
            "|                 Little Panda’s Dr...|com.sinyee.babybu...|      Educational|   4.0|       44700|        29969311|True|               90M|        4.2 and up|             BabyBus|Aug 16, 2018|Sep 29, 2020|      Everyone|        True|            True|\n",
            "|                 Baby Panda: Denta...|com.sinyee.babybu...|      Educational|   4.1|       10990|        12520805|True|               87M|        4.2 and up|             BabyBus|Apr 27, 2020|Sep 29, 2020|      Everyone|        True|            True|\n",
            "|                         Excel Reader|com.xcelfilereaderMS|            Tools|   3.3|        1141|          193274|True|              3.3M|        5.0 and up|      SphereLix Apps|Jan 13, 2020|Jun 25, 2020|      Everyone|        True|           False|\n",
            "|                 AndroXLS editor f...|com.entertain.and...|     Productivity|   3.0|        8831|         6286237|True|              8.4M|        4.1 and up|OffiDocs Mobile Apps|Dec 19, 2016|Oct 21, 2020|      Everyone|        True|           False|\n",
            "|                 Office HD: Presen...|softmaker.applica...|         Business|   3.1|         768|          180332|True|               21M|        4.0 and up|SoftMaker Softwar...| Oct 5, 2015|Jun 27, 2017|      Everyone|       False|            True|\n",
            "|ウーマンエキサイト：愛あるセレクト...|jp.co.excite.woma...| News & Magazines|   3.2|         200|           94585|True|               16M|        4.4 and up|Excite Japan Co.,...|May 20, 2012|Nov 24, 2020|      Everyone|        True|            True|\n",
            "|                        Google Slides|com.google.androi...|     Productivity|   4.2|      448679|       800199122|True|Varies with device|        6.0 and up|          Google LLC|Jun 25, 2014|Nov 24, 2020|      Everyone|       False|           False|\n",
            "|                 Grab - Transport,...|com.grabtaxi.pass...|Maps & Navigation|   4.4|     6088890|       165573138|True|              153M|        5.0 and up|       Grab Holdings|May 30, 2013|Nov 23, 2020|      Everyone|       False|           False|\n",
            "|                 Gofood - Food del...| com.customer.gofood|     Food & Drink|   2.8|         192|           50401|True|               26M|        5.0 and up|    Gofood Solutions|Jun 18, 2020|Oct 16, 2020|      Everyone|       False|           False|\n",
            "|                 Truecaller: Calle...|      com.truecaller|    Communication|   4.4|    14074045|       681961526|True|               87M|        5.1 and up|          Truecaller|May 31, 2012|Nov 23, 2020|      Everyone|        True|            True|\n",
            "|                             Snapseed|com.niksoftware.s...|      Photography|   4.5|     1281438|       181354482|True|Varies with device|Varies with device|          Google LLC| Dec 6, 2012|Apr 14, 2020|      Everyone|       False|           False|\n",
            "|                 3D Digital Clock ...|style_7.a3ddigita...|            Tools|   4.3|         574|          148146|True|              1.5M|        4.0 and up|             Style-7|Jan 16, 2019|Jan 02, 2020|      Everyone|        True|           False|\n",
            "|                 Internet speed te...|com.internet.spee...|            Tools|   4.9|      329074|        13161972|True|              8.1M|        5.0 and up|Test speed intern...|Jan 16, 2019|Nov 16, 2020|          Teen|        True|            True|\n",
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+------------------+------------------+--------------------+------------+------------+--------------+------------+----------------+\n",
            "only showing top 20 rows\n",
            "\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6OxCQI1HQa-X"
      },
      "source": [
        "# Data cleaning for \"Content Rating\" column"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "MNS1mL5fQgak",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "58427250-57b9-4152-da59-efdefc5349dc"
      },
      "source": [
        "dataset = dataset.filter(\n",
        "    dataset['Content Rating'].contains('Everyone') |\n",
        "    dataset['Content Rating'].contains('Teen') |\n",
        "    dataset['Content Rating'].contains('Adults only 18+') |\n",
        "    dataset['Content Rating'].contains('Mature 17+') |\n",
        "    dataset['Content Rating'].contains('Everyone 10+') \n",
        ")\n",
        "dataset.show()"
      ],
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+------------------+------------------+--------------------+------------+------------+--------------+------------+----------------+\n",
            "|                             App Name|              App Id|         Category|Rating|Rating Count|Maximum Installs|Free|              Size|   Minimum Android|        Developer Id|    Released|Last Updated|Content Rating|Ad Supported|In App Purchases|\n",
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+------------------+------------------+--------------------+------------+------------+--------------+------------+----------------+\n",
            "|                 HTTrack Website C...| com.httrack.android|    Communication|   3.6|        2848|          351560|True|              2.7M|        2.3 and up|        Xavier Roche|Aug 12, 2013|May 20, 2017|      Everyone|       False|           False|\n",
            "|                 World War 2: Offl...|     com.skizze.wwii|         Strategy|   4.3|       17297|         2161778|True|               86M|        5.1 and up|        Skizze Games|Jul 19, 2018|Nov 26, 2020|  Everyone 10+|        True|            True|\n",
            "|                               WPSApp|com.themausoft.wp...|            Tools|   4.2|      488639|        79304739|True|              5.8M|        4.1 and up|          TheMauSoft| Mar 7, 2016|Oct 21, 2020|      Everyone|        True|           False|\n",
            "|                 OfficeSuite - Off...|com.mobisystems.o...|         Business|   4.2|     1224420|       163660067|True|               59M|        4.4 and up|         MobiSystems|Dec 22, 2011|Nov 23, 2020|      Everyone|        True|            True|\n",
            "|                     Loud Player Free|com.arthelion.lou...|    Music & Audio|   4.2|         665|           73463|True|               29M|        5.0 and up|         Arthelion92|Sep 24, 2016|Nov 22, 2020|      Everyone|       False|           False|\n",
            "|                             eCharge+|  com.innogy.echarge|Maps & Navigation|   3.5|         377|           38029|True|               12M|        6.0 and up|innogy eMobility ...| Feb 4, 2019|Nov 06, 2020|      Everyone|       False|           False|\n",
            "|                 Jobonji: hire loc...|    com.pack.jobonji|        Lifestyle|   4.4|        3346|          224897|True|              9.4M|        5.0 and up|        Jobonji, Inc|Jan 10, 2018|Sep 30, 2019|      Everyone|       False|            True|\n",
            "|                 Little Panda’s Dr...|com.sinyee.babybu...|      Educational|   4.0|       44700|        29969311|True|               90M|        4.2 and up|             BabyBus|Aug 16, 2018|Sep 29, 2020|      Everyone|        True|            True|\n",
            "|                 Baby Panda: Denta...|com.sinyee.babybu...|      Educational|   4.1|       10990|        12520805|True|               87M|        4.2 and up|             BabyBus|Apr 27, 2020|Sep 29, 2020|      Everyone|        True|            True|\n",
            "|                         Excel Reader|com.xcelfilereaderMS|            Tools|   3.3|        1141|          193274|True|              3.3M|        5.0 and up|      SphereLix Apps|Jan 13, 2020|Jun 25, 2020|      Everyone|        True|           False|\n",
            "|                 AndroXLS editor f...|com.entertain.and...|     Productivity|   3.0|        8831|         6286237|True|              8.4M|        4.1 and up|OffiDocs Mobile Apps|Dec 19, 2016|Oct 21, 2020|      Everyone|        True|           False|\n",
            "|                 Office HD: Presen...|softmaker.applica...|         Business|   3.1|         768|          180332|True|               21M|        4.0 and up|SoftMaker Softwar...| Oct 5, 2015|Jun 27, 2017|      Everyone|       False|            True|\n",
            "|ウーマンエキサイト：愛あるセレクト...|jp.co.excite.woma...| News & Magazines|   3.2|         200|           94585|True|               16M|        4.4 and up|Excite Japan Co.,...|May 20, 2012|Nov 24, 2020|      Everyone|        True|            True|\n",
            "|                        Google Slides|com.google.androi...|     Productivity|   4.2|      448679|       800199122|True|Varies with device|        6.0 and up|          Google LLC|Jun 25, 2014|Nov 24, 2020|      Everyone|       False|           False|\n",
            "|                 Grab - Transport,...|com.grabtaxi.pass...|Maps & Navigation|   4.4|     6088890|       165573138|True|              153M|        5.0 and up|       Grab Holdings|May 30, 2013|Nov 23, 2020|      Everyone|       False|           False|\n",
            "|                 Gofood - Food del...| com.customer.gofood|     Food & Drink|   2.8|         192|           50401|True|               26M|        5.0 and up|    Gofood Solutions|Jun 18, 2020|Oct 16, 2020|      Everyone|       False|           False|\n",
            "|                 Truecaller: Calle...|      com.truecaller|    Communication|   4.4|    14074045|       681961526|True|               87M|        5.1 and up|          Truecaller|May 31, 2012|Nov 23, 2020|      Everyone|        True|            True|\n",
            "|                             Snapseed|com.niksoftware.s...|      Photography|   4.5|     1281438|       181354482|True|Varies with device|Varies with device|          Google LLC| Dec 6, 2012|Apr 14, 2020|      Everyone|       False|           False|\n",
            "|                 3D Digital Clock ...|style_7.a3ddigita...|            Tools|   4.3|         574|          148146|True|              1.5M|        4.0 and up|             Style-7|Jan 16, 2019|Jan 02, 2020|      Everyone|        True|           False|\n",
            "|                 Internet speed te...|com.internet.spee...|            Tools|   4.9|      329074|        13161972|True|              8.1M|        5.0 and up|Test speed intern...|Jan 16, 2019|Nov 16, 2020|          Teen|        True|            True|\n",
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+------------------+------------------+--------------------+------------+------------+--------------+------------+----------------+\n",
            "only showing top 20 rows\n",
            "\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "gWcqCagLYMH3"
      },
      "source": [
        "# Data cleaning for \"Size\" column"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "g_gtSnnsYKyH",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "6eb602df-5e6f-4ec8-8341-0816f6b50664"
      },
      "source": [
        "dataset = dataset.filter(\n",
        "    dataset.Size.contains('M') |\n",
        "    dataset.Size.contains('G') |\n",
        "    dataset.Size.contains('k') |\n",
        "    dataset.Size.contains('Varies with device') \n",
        ")\n",
        "dataset = dataset.withColumn('Size', regexp_replace(col('Size'), r'(M)', ''))\n",
        "dataset = dataset.withColumn('Size',\n",
        "                             when(\n",
        "                                 dataset.Size.contains('G'),\n",
        "                                 round(regexp_replace(col('Size'), r'(G)', '').cast('float') * 1024, 2)\n",
        "                             ).\n",
        "                             otherwise(col('Size')))\n",
        "dataset = dataset.withColumn('Size',\n",
        "                             when(\n",
        "                                 dataset.Size.contains('k'),\n",
        "                                 round(regexp_replace(col('Size'), r'(k)', '').cast('float') / 1024, 2)\n",
        "                             ).\n",
        "                             otherwise(col('Size')))\n",
        "dataset = dataset.withColumn('Size',\n",
        "                             when(\n",
        "                                 dataset.Size.contains('Varies'),\n",
        "                                 lit(None)\n",
        "                                 # np.nan\n",
        "                             ).\n",
        "                             otherwise(col('Size')))\n",
        "dataset = dataset.withColumn('Size', col(\"Size\").cast(FloatType()))\n",
        "dataset = Imputer(\n",
        "    inputCol='Size',\n",
        "    outputCol='Size'\n",
        ").setStrategy(\"mean\").fit(dataset).transform(dataset).withColumn('Size', round(col('Size'), 2))\n",
        "dataset.show()"
      ],
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+-----+------------------+--------------------+------------+------------+--------------+------------+----------------+\n",
            "|                             App Name|              App Id|         Category|Rating|Rating Count|Maximum Installs|Free| Size|   Minimum Android|        Developer Id|    Released|Last Updated|Content Rating|Ad Supported|In App Purchases|\n",
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+-----+------------------+--------------------+------------+------------+--------------+------------+----------------+\n",
            "|                 HTTrack Website C...| com.httrack.android|    Communication|   3.6|        2848|          351560|True|  2.7|        2.3 and up|        Xavier Roche|Aug 12, 2013|May 20, 2017|      Everyone|       False|           False|\n",
            "|                 World War 2: Offl...|     com.skizze.wwii|         Strategy|   4.3|       17297|         2161778|True| 86.0|        5.1 and up|        Skizze Games|Jul 19, 2018|Nov 26, 2020|  Everyone 10+|        True|            True|\n",
            "|                               WPSApp|com.themausoft.wp...|            Tools|   4.2|      488639|        79304739|True|  5.8|        4.1 and up|          TheMauSoft| Mar 7, 2016|Oct 21, 2020|      Everyone|        True|           False|\n",
            "|                 OfficeSuite - Off...|com.mobisystems.o...|         Business|   4.2|     1224420|       163660067|True| 59.0|        4.4 and up|         MobiSystems|Dec 22, 2011|Nov 23, 2020|      Everyone|        True|            True|\n",
            "|                     Loud Player Free|com.arthelion.lou...|    Music & Audio|   4.2|         665|           73463|True| 29.0|        5.0 and up|         Arthelion92|Sep 24, 2016|Nov 22, 2020|      Everyone|       False|           False|\n",
            "|                             eCharge+|  com.innogy.echarge|Maps & Navigation|   3.5|         377|           38029|True| 12.0|        6.0 and up|innogy eMobility ...| Feb 4, 2019|Nov 06, 2020|      Everyone|       False|           False|\n",
            "|                 Jobonji: hire loc...|    com.pack.jobonji|        Lifestyle|   4.4|        3346|          224897|True|  9.4|        5.0 and up|        Jobonji, Inc|Jan 10, 2018|Sep 30, 2019|      Everyone|       False|            True|\n",
            "|                 Little Panda’s Dr...|com.sinyee.babybu...|      Educational|   4.0|       44700|        29969311|True| 90.0|        4.2 and up|             BabyBus|Aug 16, 2018|Sep 29, 2020|      Everyone|        True|            True|\n",
            "|                 Baby Panda: Denta...|com.sinyee.babybu...|      Educational|   4.1|       10990|        12520805|True| 87.0|        4.2 and up|             BabyBus|Apr 27, 2020|Sep 29, 2020|      Everyone|        True|            True|\n",
            "|                         Excel Reader|com.xcelfilereaderMS|            Tools|   3.3|        1141|          193274|True|  3.3|        5.0 and up|      SphereLix Apps|Jan 13, 2020|Jun 25, 2020|      Everyone|        True|           False|\n",
            "|                 AndroXLS editor f...|com.entertain.and...|     Productivity|   3.0|        8831|         6286237|True|  8.4|        4.1 and up|OffiDocs Mobile Apps|Dec 19, 2016|Oct 21, 2020|      Everyone|        True|           False|\n",
            "|                 Office HD: Presen...|softmaker.applica...|         Business|   3.1|         768|          180332|True| 21.0|        4.0 and up|SoftMaker Softwar...| Oct 5, 2015|Jun 27, 2017|      Everyone|       False|            True|\n",
            "|ウーマンエキサイト：愛あるセレクト...|jp.co.excite.woma...| News & Magazines|   3.2|         200|           94585|True| 16.0|        4.4 and up|Excite Japan Co.,...|May 20, 2012|Nov 24, 2020|      Everyone|        True|            True|\n",
            "|                        Google Slides|com.google.androi...|     Productivity|   4.2|      448679|       800199122|True|17.97|        6.0 and up|          Google LLC|Jun 25, 2014|Nov 24, 2020|      Everyone|       False|           False|\n",
            "|                 Grab - Transport,...|com.grabtaxi.pass...|Maps & Navigation|   4.4|     6088890|       165573138|True|153.0|        5.0 and up|       Grab Holdings|May 30, 2013|Nov 23, 2020|      Everyone|       False|           False|\n",
            "|                 Gofood - Food del...| com.customer.gofood|     Food & Drink|   2.8|         192|           50401|True| 26.0|        5.0 and up|    Gofood Solutions|Jun 18, 2020|Oct 16, 2020|      Everyone|       False|           False|\n",
            "|                 Truecaller: Calle...|      com.truecaller|    Communication|   4.4|    14074045|       681961526|True| 87.0|        5.1 and up|          Truecaller|May 31, 2012|Nov 23, 2020|      Everyone|        True|            True|\n",
            "|                             Snapseed|com.niksoftware.s...|      Photography|   4.5|     1281438|       181354482|True|17.97|Varies with device|          Google LLC| Dec 6, 2012|Apr 14, 2020|      Everyone|       False|           False|\n",
            "|                 3D Digital Clock ...|style_7.a3ddigita...|            Tools|   4.3|         574|          148146|True|  1.5|        4.0 and up|             Style-7|Jan 16, 2019|Jan 02, 2020|      Everyone|        True|           False|\n",
            "|                 Internet speed te...|com.internet.spee...|            Tools|   4.9|      329074|        13161972|True|  8.1|        5.0 and up|Test speed intern...|Jan 16, 2019|Nov 16, 2020|          Teen|        True|            True|\n",
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+-----+------------------+--------------------+------------+------------+--------------+------------+----------------+\n",
            "only showing top 20 rows\n",
            "\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "j72EC6x-HP6I"
      },
      "source": [
        "# Data cleaning for \"Released\" column"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "LKSum_r3HJ3h",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "feb696aa-9b73-4860-86eb-d2874549a526"
      },
      "source": [
        "dataset = dataset.withColumn('Released', when(col('Released').isNull(), col('Last Updated')).otherwise(col('Released')))\n",
        "dataset = dataset.filter(\n",
        "    dataset['Released'].contains('Feb') |\n",
        "    dataset['Released'].contains('Mar') |\n",
        "    dataset['Released'].contains('Apr') |\n",
        "    dataset['Released'].contains('Jan') |\n",
        "    dataset['Released'].contains('May') |\n",
        "    dataset['Released'].contains('Jun') |\n",
        "    dataset['Released'].contains('Jul') |\n",
        "    dataset['Released'].contains('Aug') |\n",
        "    dataset['Released'].contains('Sep') |\n",
        "    dataset['Released'].contains('Oct') |\n",
        "    dataset['Released'].contains('Nov') |\n",
        "    dataset['Released'].contains('Dec')\n",
        ")\n",
        "dataset = dataset.withColumn('month', trim(col('Released')).substr(1,3))\n",
        "dataset = dataset.withColumn('date', trim(trim(col('Released')).substr(length(col('Released'))-7,lit(2))))\n",
        "dataset = dataset.withColumn('year', trim(col('Released')).substr(length(col('Released'))-3,lit(4)))\n",
        "dataset = dataset.filter((dataset.date >= 1) & (dataset.date <= 31))\n",
        "dataset = dataset.filter((dataset.year >= 2000) & (dataset.year <= 2021))\n",
        "dataset = dataset.filter(dataset.month.rlike('(Jan|Feb|Mar|Apr|May|Jun|Jul|Aug|Sep|Oct|Nov|Dec)'))\n",
        "months = ['Jan','Feb','Mar','Apr','May','Jun','Jul','Aug','Sep','Oct','Nov','Dec']\n",
        "for m in months:\n",
        "  dataset = dataset.withColumn('month',\n",
        "                               when(\n",
        "                                   dataset['Released'].contains(m),\n",
        "                                    lit(months.index(m)+1)\n",
        "                                    ).otherwise(col('month')))                               \n",
        "dataset = dataset.withColumn('Released',concat(dataset.year,lit('-'),dataset.month,lit('-'),dataset.date))\n",
        "dataset = dataset.withColumn('Released', col('Released').cast(DateType()))\n",
        "dataset = dataset.drop('month','year','date')\n",
        "dataset.show()"
      ],
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+-----+------------------+--------------------+----------+------------+--------------+------------+----------------+\n",
            "|                             App Name|              App Id|         Category|Rating|Rating Count|Maximum Installs|Free| Size|   Minimum Android|        Developer Id|  Released|Last Updated|Content Rating|Ad Supported|In App Purchases|\n",
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+-----+------------------+--------------------+----------+------------+--------------+------------+----------------+\n",
            "|                 HTTrack Website C...| com.httrack.android|    Communication|   3.6|        2848|          351560|True|  2.7|        2.3 and up|        Xavier Roche|2013-08-12|May 20, 2017|      Everyone|       False|           False|\n",
            "|                 World War 2: Offl...|     com.skizze.wwii|         Strategy|   4.3|       17297|         2161778|True| 86.0|        5.1 and up|        Skizze Games|2018-07-19|Nov 26, 2020|  Everyone 10+|        True|            True|\n",
            "|                               WPSApp|com.themausoft.wp...|            Tools|   4.2|      488639|        79304739|True|  5.8|        4.1 and up|          TheMauSoft|2016-03-07|Oct 21, 2020|      Everyone|        True|           False|\n",
            "|                 OfficeSuite - Off...|com.mobisystems.o...|         Business|   4.2|     1224420|       163660067|True| 59.0|        4.4 and up|         MobiSystems|2011-12-22|Nov 23, 2020|      Everyone|        True|            True|\n",
            "|                     Loud Player Free|com.arthelion.lou...|    Music & Audio|   4.2|         665|           73463|True| 29.0|        5.0 and up|         Arthelion92|2016-09-24|Nov 22, 2020|      Everyone|       False|           False|\n",
            "|                             eCharge+|  com.innogy.echarge|Maps & Navigation|   3.5|         377|           38029|True| 12.0|        6.0 and up|innogy eMobility ...|2019-02-04|Nov 06, 2020|      Everyone|       False|           False|\n",
            "|                 Jobonji: hire loc...|    com.pack.jobonji|        Lifestyle|   4.4|        3346|          224897|True|  9.4|        5.0 and up|        Jobonji, Inc|2018-01-10|Sep 30, 2019|      Everyone|       False|            True|\n",
            "|                 Little Panda’s Dr...|com.sinyee.babybu...|      Educational|   4.0|       44700|        29969311|True| 90.0|        4.2 and up|             BabyBus|2018-08-16|Sep 29, 2020|      Everyone|        True|            True|\n",
            "|                 Baby Panda: Denta...|com.sinyee.babybu...|      Educational|   4.1|       10990|        12520805|True| 87.0|        4.2 and up|             BabyBus|2020-04-27|Sep 29, 2020|      Everyone|        True|            True|\n",
            "|                         Excel Reader|com.xcelfilereaderMS|            Tools|   3.3|        1141|          193274|True|  3.3|        5.0 and up|      SphereLix Apps|2020-01-13|Jun 25, 2020|      Everyone|        True|           False|\n",
            "|                 AndroXLS editor f...|com.entertain.and...|     Productivity|   3.0|        8831|         6286237|True|  8.4|        4.1 and up|OffiDocs Mobile Apps|2016-12-19|Oct 21, 2020|      Everyone|        True|           False|\n",
            "|                 Office HD: Presen...|softmaker.applica...|         Business|   3.1|         768|          180332|True| 21.0|        4.0 and up|SoftMaker Softwar...|2015-10-05|Jun 27, 2017|      Everyone|       False|            True|\n",
            "|ウーマンエキサイト：愛あるセレクト...|jp.co.excite.woma...| News & Magazines|   3.2|         200|           94585|True| 16.0|        4.4 and up|Excite Japan Co.,...|2012-05-20|Nov 24, 2020|      Everyone|        True|            True|\n",
            "|                        Google Slides|com.google.androi...|     Productivity|   4.2|      448679|       800199122|True|17.97|        6.0 and up|          Google LLC|2014-06-25|Nov 24, 2020|      Everyone|       False|           False|\n",
            "|                 Grab - Transport,...|com.grabtaxi.pass...|Maps & Navigation|   4.4|     6088890|       165573138|True|153.0|        5.0 and up|       Grab Holdings|2013-05-30|Nov 23, 2020|      Everyone|       False|           False|\n",
            "|                 Gofood - Food del...| com.customer.gofood|     Food & Drink|   2.8|         192|           50401|True| 26.0|        5.0 and up|    Gofood Solutions|2020-06-18|Oct 16, 2020|      Everyone|       False|           False|\n",
            "|                 Truecaller: Calle...|      com.truecaller|    Communication|   4.4|    14074045|       681961526|True| 87.0|        5.1 and up|          Truecaller|2012-05-31|Nov 23, 2020|      Everyone|        True|            True|\n",
            "|                             Snapseed|com.niksoftware.s...|      Photography|   4.5|     1281438|       181354482|True|17.97|Varies with device|          Google LLC|2012-12-06|Apr 14, 2020|      Everyone|       False|           False|\n",
            "|                 3D Digital Clock ...|style_7.a3ddigita...|            Tools|   4.3|         574|          148146|True|  1.5|        4.0 and up|             Style-7|2019-01-16|Jan 02, 2020|      Everyone|        True|           False|\n",
            "|                 Internet speed te...|com.internet.spee...|            Tools|   4.9|      329074|        13161972|True|  8.1|        5.0 and up|Test speed intern...|2019-01-16|Nov 16, 2020|          Teen|        True|            True|\n",
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+-----+------------------+--------------------+----------+------------+--------------+------------+----------------+\n",
            "only showing top 20 rows\n",
            "\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "vXc-Yv4MY-Ni"
      },
      "source": [
        "# Data cleaning for \"Last Updated\" column"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_sTHC5QUZEr4",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "837424ac-dab2-426c-dc06-04f5af618e19"
      },
      "source": [
        "dataset = dataset.filter(\n",
        "    dataset['Last Updated'].contains('Jan') |\n",
        "    dataset['Last Updated'].contains('Feb') |\n",
        "    dataset['Last Updated'].contains('Mar') |\n",
        "    dataset['Last Updated'].contains('Apr') |\n",
        "    dataset['Last Updated'].contains('May') |\n",
        "    dataset['Last Updated'].contains('Jun') |\n",
        "    dataset['Last Updated'].contains('Jul') |\n",
        "    dataset['Last Updated'].contains('Aug') |\n",
        "    dataset['Last Updated'].contains('Sep') |\n",
        "    dataset['Last Updated'].contains('Oct') |\n",
        "    dataset['Last Updated'].contains('Nov') |\n",
        "    dataset['Last Updated'].contains('Dec')\n",
        ")\n",
        "dataset = dataset.withColumn('month', trim(col('Last Updated')).substr(1,3))\n",
        "dataset = dataset.withColumn('date', trim(trim(col('Last Updated')).substr(length(col('Last Updated'))-7,lit(2))))\n",
        "dataset = dataset.withColumn('year', trim(col('Last Updated')).substr(length(col('Last Updated'))-3,lit(4)))\n",
        "dataset = dataset.filter((dataset.date >= 1) & (dataset.date <= 31))\n",
        "dataset = dataset.filter((dataset.year >= 2000) & (dataset.year <= 2021))\n",
        "dataset = dataset.filter(dataset.month.rlike('(Jan|Feb|Mar|Apr|May|Jun|Jul|Aug|Sep|Oct|Nov|Dec)'))\n",
        "months = ['Jan','Feb','Mar','Apr','May','Jun','Jul','Aug','Sep','Oct','Nov','Dec']\n",
        "for m in months:\n",
        "  dataset = dataset.withColumn('month',\n",
        "                               when(\n",
        "                                   dataset['Last Updated'].contains(m),\n",
        "                                    lit(months.index(m)+1)\n",
        "                                    ).otherwise(col('month')))                   \n",
        "dataset = dataset.withColumn('Last Updated',concat(dataset.year,lit('-'),dataset.month,lit('-'),dataset.date))\n",
        "dataset = dataset.withColumn('Last Updated', col('Last Updated').cast(DateType()))\n",
        "dataset = dataset.drop('month','year','date')\n",
        "dataset.show()"
      ],
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+-----+------------------+--------------------+----------+------------+--------------+------------+----------------+\n",
            "|                             App Name|              App Id|         Category|Rating|Rating Count|Maximum Installs|Free| Size|   Minimum Android|        Developer Id|  Released|Last Updated|Content Rating|Ad Supported|In App Purchases|\n",
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+-----+------------------+--------------------+----------+------------+--------------+------------+----------------+\n",
            "|                 HTTrack Website C...| com.httrack.android|    Communication|   3.6|        2848|          351560|True|  2.7|        2.3 and up|        Xavier Roche|2013-08-12|  2017-05-20|      Everyone|       False|           False|\n",
            "|                 World War 2: Offl...|     com.skizze.wwii|         Strategy|   4.3|       17297|         2161778|True| 86.0|        5.1 and up|        Skizze Games|2018-07-19|  2020-11-26|  Everyone 10+|        True|            True|\n",
            "|                               WPSApp|com.themausoft.wp...|            Tools|   4.2|      488639|        79304739|True|  5.8|        4.1 and up|          TheMauSoft|2016-03-07|  2020-10-21|      Everyone|        True|           False|\n",
            "|                 OfficeSuite - Off...|com.mobisystems.o...|         Business|   4.2|     1224420|       163660067|True| 59.0|        4.4 and up|         MobiSystems|2011-12-22|  2020-11-23|      Everyone|        True|            True|\n",
            "|                     Loud Player Free|com.arthelion.lou...|    Music & Audio|   4.2|         665|           73463|True| 29.0|        5.0 and up|         Arthelion92|2016-09-24|  2020-11-22|      Everyone|       False|           False|\n",
            "|                             eCharge+|  com.innogy.echarge|Maps & Navigation|   3.5|         377|           38029|True| 12.0|        6.0 and up|innogy eMobility ...|2019-02-04|  2020-11-06|      Everyone|       False|           False|\n",
            "|                 Jobonji: hire loc...|    com.pack.jobonji|        Lifestyle|   4.4|        3346|          224897|True|  9.4|        5.0 and up|        Jobonji, Inc|2018-01-10|  2019-09-30|      Everyone|       False|            True|\n",
            "|                 Little Panda’s Dr...|com.sinyee.babybu...|      Educational|   4.0|       44700|        29969311|True| 90.0|        4.2 and up|             BabyBus|2018-08-16|  2020-09-29|      Everyone|        True|            True|\n",
            "|                 Baby Panda: Denta...|com.sinyee.babybu...|      Educational|   4.1|       10990|        12520805|True| 87.0|        4.2 and up|             BabyBus|2020-04-27|  2020-09-29|      Everyone|        True|            True|\n",
            "|                         Excel Reader|com.xcelfilereaderMS|            Tools|   3.3|        1141|          193274|True|  3.3|        5.0 and up|      SphereLix Apps|2020-01-13|  2020-06-25|      Everyone|        True|           False|\n",
            "|                 AndroXLS editor f...|com.entertain.and...|     Productivity|   3.0|        8831|         6286237|True|  8.4|        4.1 and up|OffiDocs Mobile Apps|2016-12-19|  2020-10-21|      Everyone|        True|           False|\n",
            "|                 Office HD: Presen...|softmaker.applica...|         Business|   3.1|         768|          180332|True| 21.0|        4.0 and up|SoftMaker Softwar...|2015-10-05|  2017-06-27|      Everyone|       False|            True|\n",
            "|ウーマンエキサイト：愛あるセレクト...|jp.co.excite.woma...| News & Magazines|   3.2|         200|           94585|True| 16.0|        4.4 and up|Excite Japan Co.,...|2012-05-20|  2020-11-24|      Everyone|        True|            True|\n",
            "|                        Google Slides|com.google.androi...|     Productivity|   4.2|      448679|       800199122|True|17.97|        6.0 and up|          Google LLC|2014-06-25|  2020-11-24|      Everyone|       False|           False|\n",
            "|                 Grab - Transport,...|com.grabtaxi.pass...|Maps & Navigation|   4.4|     6088890|       165573138|True|153.0|        5.0 and up|       Grab Holdings|2013-05-30|  2020-11-23|      Everyone|       False|           False|\n",
            "|                 Gofood - Food del...| com.customer.gofood|     Food & Drink|   2.8|         192|           50401|True| 26.0|        5.0 and up|    Gofood Solutions|2020-06-18|  2020-10-16|      Everyone|       False|           False|\n",
            "|                 Truecaller: Calle...|      com.truecaller|    Communication|   4.4|    14074045|       681961526|True| 87.0|        5.1 and up|          Truecaller|2012-05-31|  2020-11-23|      Everyone|        True|            True|\n",
            "|                             Snapseed|com.niksoftware.s...|      Photography|   4.5|     1281438|       181354482|True|17.97|Varies with device|          Google LLC|2012-12-06|  2020-04-14|      Everyone|       False|           False|\n",
            "|                 3D Digital Clock ...|style_7.a3ddigita...|            Tools|   4.3|         574|          148146|True|  1.5|        4.0 and up|             Style-7|2019-01-16|  2020-01-02|      Everyone|        True|           False|\n",
            "|                 Internet speed te...|com.internet.spee...|            Tools|   4.9|      329074|        13161972|True|  8.1|        5.0 and up|Test speed intern...|2019-01-16|  2020-11-16|          Teen|        True|            True|\n",
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+-----+------------------+--------------------+----------+------------+--------------+------------+----------------+\n",
            "only showing top 20 rows\n",
            "\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "TQBaZIlR7VgL"
      },
      "source": [
        "# Data cleaning for 'Minimum Android' column"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "UD_e6lRa7koC",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "a341f439-e4b5-435e-e73b-0f2d0d6defa2"
      },
      "source": [
        "dataset = dataset.withColumn('Minimum Android',\n",
        "                             when(\n",
        "                                 dataset['Minimum Android'].contains('Varies'),\n",
        "                                 lit(None)\n",
        "                             ).\n",
        "                             otherwise(col('Minimum Android')))\n",
        "dataset = dataset.withColumn('Minimum Android',\n",
        "                             when(\n",
        "                                 dataset['Minimum Android'].contains('and up'),\n",
        "                                 trim(regexp_replace(col('Minimum Android'), r'(and up)', ''))\n",
        "                             ).\n",
        "                             otherwise(col('Minimum Android')))\n",
        "dataset = dataset.withColumn('Minimum Android',\n",
        "                             when(\n",
        "                                 length(trim(dataset['Minimum Android']))>3,\n",
        "                                 trim(dataset['Minimum Android'].substr(1,3))\n",
        "                             ).\n",
        "                             otherwise(col('Minimum Android')))\n",
        "dataset = dataset.withColumn('Minimum Android',col('Minimum Android').cast(FloatType()))\n",
        "\n",
        "dataset = Imputer(\n",
        "    inputCol='Minimum Android',\n",
        "    outputCol='Minimum Android'\n",
        ").setStrategy(\"mode\").fit(dataset).transform(dataset)\n",
        "dataset = dataset.filter((dataset['Minimum Android'] > 1.0) & (dataset['Minimum Android'] < 10.0))\n",
        "dataset.show()"
      ],
      "execution_count": 23,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+-----+---------------+--------------------+----------+------------+--------------+------------+----------------+\n",
            "|                             App Name|              App Id|         Category|Rating|Rating Count|Maximum Installs|Free| Size|Minimum Android|        Developer Id|  Released|Last Updated|Content Rating|Ad Supported|In App Purchases|\n",
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+-----+---------------+--------------------+----------+------------+--------------+------------+----------------+\n",
            "|                 HTTrack Website C...| com.httrack.android|    Communication|   3.6|        2848|          351560|True|  2.7|            2.3|        Xavier Roche|2013-08-12|  2017-05-20|      Everyone|       False|           False|\n",
            "|                 World War 2: Offl...|     com.skizze.wwii|         Strategy|   4.3|       17297|         2161778|True| 86.0|            5.1|        Skizze Games|2018-07-19|  2020-11-26|  Everyone 10+|        True|            True|\n",
            "|                               WPSApp|com.themausoft.wp...|            Tools|   4.2|      488639|        79304739|True|  5.8|            4.1|          TheMauSoft|2016-03-07|  2020-10-21|      Everyone|        True|           False|\n",
            "|                 OfficeSuite - Off...|com.mobisystems.o...|         Business|   4.2|     1224420|       163660067|True| 59.0|            4.4|         MobiSystems|2011-12-22|  2020-11-23|      Everyone|        True|            True|\n",
            "|                     Loud Player Free|com.arthelion.lou...|    Music & Audio|   4.2|         665|           73463|True| 29.0|            5.0|         Arthelion92|2016-09-24|  2020-11-22|      Everyone|       False|           False|\n",
            "|                             eCharge+|  com.innogy.echarge|Maps & Navigation|   3.5|         377|           38029|True| 12.0|            6.0|innogy eMobility ...|2019-02-04|  2020-11-06|      Everyone|       False|           False|\n",
            "|                 Jobonji: hire loc...|    com.pack.jobonji|        Lifestyle|   4.4|        3346|          224897|True|  9.4|            5.0|        Jobonji, Inc|2018-01-10|  2019-09-30|      Everyone|       False|            True|\n",
            "|                 Little Panda’s Dr...|com.sinyee.babybu...|      Educational|   4.0|       44700|        29969311|True| 90.0|            4.2|             BabyBus|2018-08-16|  2020-09-29|      Everyone|        True|            True|\n",
            "|                 Baby Panda: Denta...|com.sinyee.babybu...|      Educational|   4.1|       10990|        12520805|True| 87.0|            4.2|             BabyBus|2020-04-27|  2020-09-29|      Everyone|        True|            True|\n",
            "|                         Excel Reader|com.xcelfilereaderMS|            Tools|   3.3|        1141|          193274|True|  3.3|            5.0|      SphereLix Apps|2020-01-13|  2020-06-25|      Everyone|        True|           False|\n",
            "|                 AndroXLS editor f...|com.entertain.and...|     Productivity|   3.0|        8831|         6286237|True|  8.4|            4.1|OffiDocs Mobile Apps|2016-12-19|  2020-10-21|      Everyone|        True|           False|\n",
            "|                 Office HD: Presen...|softmaker.applica...|         Business|   3.1|         768|          180332|True| 21.0|            4.0|SoftMaker Softwar...|2015-10-05|  2017-06-27|      Everyone|       False|            True|\n",
            "|ウーマンエキサイト：愛あるセレクト...|jp.co.excite.woma...| News & Magazines|   3.2|         200|           94585|True| 16.0|            4.4|Excite Japan Co.,...|2012-05-20|  2020-11-24|      Everyone|        True|            True|\n",
            "|                        Google Slides|com.google.androi...|     Productivity|   4.2|      448679|       800199122|True|17.97|            6.0|          Google LLC|2014-06-25|  2020-11-24|      Everyone|       False|           False|\n",
            "|                 Grab - Transport,...|com.grabtaxi.pass...|Maps & Navigation|   4.4|     6088890|       165573138|True|153.0|            5.0|       Grab Holdings|2013-05-30|  2020-11-23|      Everyone|       False|           False|\n",
            "|                 Gofood - Food del...| com.customer.gofood|     Food & Drink|   2.8|         192|           50401|True| 26.0|            5.0|    Gofood Solutions|2020-06-18|  2020-10-16|      Everyone|       False|           False|\n",
            "|                 Truecaller: Calle...|      com.truecaller|    Communication|   4.4|    14074045|       681961526|True| 87.0|            5.1|          Truecaller|2012-05-31|  2020-11-23|      Everyone|        True|            True|\n",
            "|                             Snapseed|com.niksoftware.s...|      Photography|   4.5|     1281438|       181354482|True|17.97|            4.1|          Google LLC|2012-12-06|  2020-04-14|      Everyone|       False|           False|\n",
            "|                 3D Digital Clock ...|style_7.a3ddigita...|            Tools|   4.3|         574|          148146|True|  1.5|            4.0|             Style-7|2019-01-16|  2020-01-02|      Everyone|        True|           False|\n",
            "|                 Internet speed te...|com.internet.spee...|            Tools|   4.9|      329074|        13161972|True|  8.1|            5.0|Test speed intern...|2019-01-16|  2020-11-16|          Teen|        True|            True|\n",
            "+-------------------------------------+--------------------+-----------------+------+------------+----------------+----+-----+---------------+--------------------+----------+------------+--------------+------------+----------------+\n",
            "only showing top 20 rows\n",
            "\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "tWb6NIXJydHC"
      },
      "source": [
        "# Cast data types"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "nWBcq8vCxct6"
      },
      "source": [
        "dataset = dataset.withColumn('Ad Supported', col('Ad Supported').cast(BooleanType())) \\\n",
        "    .withColumn('In App Purchases', col('In App Purchases').cast(BooleanType())) \\\n",
        "    .withColumn('Maximum Installs', col('Maximum Installs').cast(LongType())) \\\n",
        "    .withColumn('Rating', col('Rating').cast(FloatType())) \\\n",
        "    .withColumn('Rating Count', col('Rating Count').cast(IntegerType()))\n"
      ],
      "execution_count": 24,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xj63nEYGQW4c"
      },
      "source": [
        "# Drop Rating null values"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "60Q6LbfoQcAb"
      },
      "source": [
        "#dataset = dataset.filter(dataset.Rating.isNotNull())\n",
        "#dataset.show()\n",
        "#print(dataset.count())"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "rupjBW3DY_z6"
      },
      "source": [
        "# Get null count"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ThdKRj-bZEff",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "470d94ef-c62c-44a8-8d9f-6daf37063705"
      },
      "source": [
        "dataset.select([count(when(col(c).isNull(), c)).alias(c) for c in dataset.columns]).show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "+--------+------+--------+------+------------+----------------+----+----+---------------+------------+--------+------------+--------------+------------+----------------+\n",
            "|App Name|App Id|Category|Rating|Rating Count|Maximum Installs|Free|Size|Minimum Android|Developer Id|Released|Last Updated|Content Rating|Ad Supported|In App Purchases|\n",
            "+--------+------+--------+------+------------+----------------+----+----+---------------+------------+--------+------------+--------------+------------+----------------+\n",
            "|       0|     0|       0|     0|           0|               0|   0|   0|              0|           0|       0|           0|             0|           0|               0|\n",
            "+--------+------+--------+------+------------+----------------+----+----+---------------+------------+--------+------------+--------------+------------+----------------+\n",
            "\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2KRZE3M9wk-6",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "fc48aa80-c097-4df7-f928-642d74cee66c"
      },
      "source": [
        "dataset.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "+--------------------+--------------------+-------------+------+------------+----------------+-----+-----+---------------+--------------------+----------+------------+--------------+------------+----------------+\n",
            "|            App Name|              App Id|     Category|Rating|Rating Count|Maximum Installs| Free| Size|Minimum Android|        Developer Id|  Released|Last Updated|Content Rating|Ad Supported|In App Purchases|\n",
            "+--------------------+--------------------+-------------+------+------------+----------------+-----+-----+---------------+--------------------+----------+------------+--------------+------------+----------------+\n",
            "|     Audiophile Jawa|admobileapps.lang...|Music & Audio|   0.0|           0|              20| True| 29.0|            4.4|   JerLin Production|2019-12-29|  2019-12-30|          Teen|        true|           false|\n",
            "|           5asec UAE|       ae.a5asec.app|    Lifestyle|   4.6|          26|           23715| True|109.0|            6.0|Alpes Laundry Ser...|2019-09-30|  2020-11-18|      Everyone|       false|           false|\n",
            "|      African Skirts|african.skirts.fa...|       Beauty|   4.2|          51|           26601| True|  9.6|            4.1|Global App Zone -...|2019-03-02|  2020-11-23|      Everyone|        true|           false|\n",
            "|جميع اغاني سولكين...|   aghani.soolking20|Music & Audio|   4.5|        1078|          133143| True| 80.0|            4.1|            sao-deve|2019-10-27|  2020-11-05|          Teen|        true|           false|\n",
            "|Infiltrating the ...|        air.Airship2|       Casual|   4.5|       70509|        14097187| True|17.98|            4.1|     PuffballsUnited|2014-12-16|  2017-01-04|  Everyone 10+|        true|           false|\n",
            "|Guitar Chords - S...|air.IJANGLEANDROI...|Music & Audio|   4.1|          14|             689|False|17.98|            4.0|Madster Multimedi...|2012-05-21|  2019-01-17|      Everyone|       false|           false|\n",
            "|Princess Nail Art...|air.LiliDressUpGa...|       Casual|   3.3|        1113|          448194| True|17.98|            2.3| Lili Dress Up Games|2019-03-07|  2020-09-05|      Everyone|        true|           false|\n",
            "|Ballet Dancer - D...|    air.balletdancer|       Casual|   3.9|       18986|         5099394| True| 17.0|            2.3|Girl Games - Vasc...|2014-05-08|  2016-08-03|      Everyone|        true|           false|\n",
            "|Buraco Italiano O...|air.br.com.megabu...|         Card|   4.2|        1486|          214987| True|17.98|            4.0|           MegaJogos|2013-12-19|  2020-11-06|          Teen|        true|            true|\n",
            "|    Words for a bird|air.com.bartbonte...|         Word|   4.7|        1279|           35598| True|17.98|            4.2|          Bart Bonte|2020-06-04|  2020-10-20|      Everyone|        true|            true|\n",
            "|Amul Baby Escape ...|air.com.bestescap...|       Puzzle|   4.6|         207|            9550| True| 21.0|            4.4|           JRK Games|2018-08-23|  2020-07-27|      Everyone|        true|           false|\n",
            "|Miner Birds - Add...|air.com.busything...|  Educational|   0.0|           0|             283|False| 16.0|            4.0|    busythings.co.uk|2017-07-06|  2017-07-06|      Everyone|       false|           false|\n",
            "|Dress Up Games - ...|air.com.dressupon...|       Casual|   4.1|        7718|         1396427| True|17.98|            4.0|          bweb media|2013-08-20|  2019-11-15|          Teen|        true|           false|\n",
            "|Hiper Zeka Mobil ...|air.com.fernus.mo...|    Education|   2.9|          58|           13050| True|17.98|            4.1|              FERNUS|2020-09-20|  2020-09-20|      Everyone|       false|           false|\n",
            "|Hospital Operatio...|air.com.glammyclu...|Entertainment|   3.5|         144|           90297| True|17.98|            4.0|          GlammyClub|2017-12-03|  2019-09-21|      Everyone|        true|            true|\n",
            "|Twin Kitties Spa ...|air.com.glammyclu...|Entertainment|   4.6|          60|          148054| True|17.98|            4.0|          GlammyClub|2018-10-17|  2019-09-28|      Everyone|        true|            true|\n",
            "|Noorani Qaida in ...|air.com.miracle.n...|    Education|   4.8|         415|           79473| True|17.98|            2.3|           Jabir Ali|2017-02-18|  2020-06-18|      Everyone|        true|            true|\n",
            "|        Slither Me 2|air.com.nfcstudio...|       Action|   4.0|         446|           65901| True| 18.0|            4.0|          NFCStudio™|2019-03-04|  2019-03-04|      Everyone|        true|           false|\n",
            "|     Bunny Science 1|air.com.preissmur...|    Education|   0.0|           0|              93| True| 48.0|            4.0|Preiss Murphy A&A...|2019-07-06|  2019-07-07|      Everyone|       false|           false|\n",
            "|3D Escape Games-P...|air.com.quicksail...|       Puzzle|   3.5|        1174|          261890| True| 28.0|            2.3|         Quicksailor|2014-12-10|  2020-05-26|      Everyone|        true|           false|\n",
            "+--------------------+--------------------+-------------+------+------------+----------------+-----+-----+---------------+--------------------+----------+------------+--------------+------------+----------------+\n",
            "only showing top 20 rows\n",
            "\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "LyU3SY3yB1-K"
      },
      "source": [
        "# Finalizing the cleaned dataset"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "zJh9nu8vBz_f"
      },
      "source": [
        "#Export the Cleaned Dataset into a .CSV\n",
        "dataset.write.csv('/content/Google-Playstore-Cleaned.csv')"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "AmLLJeoaHoxd"
      },
      "source": [
        "# Data Analytics"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "QiJ8brcjZzwj"
      },
      "source": [
        "import pandas as pd\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import seaborn as sns\n",
        "import scipy.stats\n",
        "from scipy.stats import linregress\n",
        "from datetime import date\n",
        "from sklearn.preprocessing import LabelEncoder"
      ],
      "execution_count": 25,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "E1Lwp-f3ZEa3"
      },
      "source": [
        "df=dataset.toPandas()\n",
        "#df = pd.read_csv('/content/Google-Playstore-Cleaned.csv')"
      ],
      "execution_count": 56,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "c1ja3Y7et_es",
        "outputId": "3d7cf055-dca9-4ab7-f514-686cb57a966b",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 707
        }
      },
      "source": [
        "df"
      ],
      "execution_count": 47,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        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>App Name</th>\n",
              "      <th>App Id</th>\n",
              "      <th>Category</th>\n",
              "      <th>Rating</th>\n",
              "      <th>Rating Count</th>\n",
              "      <th>Maximum Installs</th>\n",
              "      <th>Free</th>\n",
              "      <th>Size</th>\n",
              "      <th>Minimum Android</th>\n",
              "      <th>Developer Id</th>\n",
              "      <th>Released</th>\n",
              "      <th>Last Updated</th>\n",
              "      <th>Content Rating</th>\n",
              "      <th>Ad Supported</th>\n",
              "      <th>In App Purchases</th>\n",
              "      <th>Ad Supported Numerics</th>\n",
              "      <th>Released Numerics</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>HTTrack Website Copier</td>\n",
              "      <td>com.httrack.android</td>\n",
              "      <td>Communication</td>\n",
              "      <td>3.6</td>\n",
              "      <td>2848</td>\n",
              "      <td>351560</td>\n",
              "      <td>True</td>\n",
              "      <td>2.7</td>\n",
              "      <td>2.3</td>\n",
              "      <td>Xavier Roche</td>\n",
              "      <td>2013-08-12</td>\n",
              "      <td>2017-05-20</td>\n",
              "      <td>Everyone</td>\n",
              "      <td>False</td>\n",
              "      <td>False</td>\n",
              "      <td>0</td>\n",
              "      <td>1303</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>World War 2: Offline Strategy</td>\n",
              "      <td>com.skizze.wwii</td>\n",
              "      <td>Strategy</td>\n",
              "      <td>4.3</td>\n",
              "      <td>17297</td>\n",
              "      <td>2161778</td>\n",
              "      <td>True</td>\n",
              "      <td>86.0</td>\n",
              "      <td>5.1</td>\n",
              "      <td>Skizze Games</td>\n",
              "      <td>2018-07-19</td>\n",
              "      <td>2020-11-26</td>\n",
              "      <td>Everyone 10+</td>\n",
              "      <td>True</td>\n",
              "      <td>True</td>\n",
              "      <td>1</td>\n",
              "      <td>3105</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>WPSApp</td>\n",
              "      <td>com.themausoft.wpsapp</td>\n",
              "      <td>Tools</td>\n",
              "      <td>4.2</td>\n",
              "      <td>488639</td>\n",
              "      <td>79304739</td>\n",
              "      <td>True</td>\n",
              "      <td>5.8</td>\n",
              "      <td>4.1</td>\n",
              "      <td>TheMauSoft</td>\n",
              "      <td>2016-03-07</td>\n",
              "      <td>2020-10-21</td>\n",
              "      <td>Everyone</td>\n",
              "      <td>True</td>\n",
              "      <td>False</td>\n",
              "      <td>1</td>\n",
              "      <td>2241</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>OfficeSuite - Office, PDF, Word, Excel, PowerP...</td>\n",
              "      <td>com.mobisystems.office</td>\n",
              "      <td>Business</td>\n",
              "      <td>4.2</td>\n",
              "      <td>1224420</td>\n",
              "      <td>163660067</td>\n",
              "      <td>True</td>\n",
              "      <td>59.0</td>\n",
              "      <td>4.4</td>\n",
              "      <td>MobiSystems</td>\n",
              "      <td>2011-12-22</td>\n",
              "      <td>2020-11-23</td>\n",
              "      <td>Everyone</td>\n",
              "      <td>True</td>\n",
              "      <td>True</td>\n",
              "      <td>1</td>\n",
              "      <td>704</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>Loud Player Free</td>\n",
              "      <td>com.arthelion.loudplayer</td>\n",
              "      <td>Music &amp; Audio</td>\n",
              "      <td>4.2</td>\n",
              "      <td>665</td>\n",
              "      <td>73463</td>\n",
              "      <td>True</td>\n",
              "      <td>29.0</td>\n",
              "      <td>5.0</td>\n",
              "      <td>Arthelion92</td>\n",
              "      <td>2016-09-24</td>\n",
              "      <td>2020-11-22</td>\n",
              "      <td>Everyone</td>\n",
              "      <td>False</td>\n",
              "      <td>False</td>\n",
              "      <td>0</td>\n",
              "      <td>2442</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1110960</th>\n",
              "      <td>Safer Job Sites</td>\n",
              "      <td>com.unifeyed.safety</td>\n",
              "      <td>Productivity</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0</td>\n",
              "      <td>5</td>\n",
              "      <td>True</td>\n",
              "      <td>4.3</td>\n",
              "      <td>5.0</td>\n",
              "      <td>UNIFEYED</td>\n",
              "      <td>2019-08-21</td>\n",
              "      <td>2019-12-05</td>\n",
              "      <td>Everyone</td>\n",
              "      <td>False</td>\n",
              "      <td>False</td>\n",
              "      <td>0</td>\n",
              "      <td>3503</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1110961</th>\n",
              "      <td>AutoThink</td>\n",
              "      <td>com.fleetenable.autothink</td>\n",
              "      <td>Productivity</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0</td>\n",
              "      <td>127</td>\n",
              "      <td>True</td>\n",
              "      <td>4.7</td>\n",
              "      <td>4.1</td>\n",
              "      <td>Imaginnovate</td>\n",
              "      <td>2019-11-26</td>\n",
              "      <td>2020-11-13</td>\n",
              "      <td>Everyone</td>\n",
              "      <td>False</td>\n",
              "      <td>False</td>\n",
              "      <td>0</td>\n",
              "      <td>3600</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1110962</th>\n",
              "      <td>FieldEnable</td>\n",
              "      <td>com.fieldenable.app.fieldenable</td>\n",
              "      <td>Business</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0</td>\n",
              "      <td>282</td>\n",
              "      <td>True</td>\n",
              "      <td>28.0</td>\n",
              "      <td>5.0</td>\n",
              "      <td>Imaginnovate</td>\n",
              "      <td>2018-04-30</td>\n",
              "      <td>2020-11-30</td>\n",
              "      <td>Everyone</td>\n",
              "      <td>False</td>\n",
              "      <td>False</td>\n",
              "      <td>0</td>\n",
              "      <td>3025</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1110963</th>\n",
              "      <td>Live Concert</td>\n",
              "      <td>com.varbin.liveconcert</td>\n",
              "      <td>Events</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0</td>\n",
              "      <td>986</td>\n",
              "      <td>True</td>\n",
              "      <td>8.1</td>\n",
              "      <td>4.1</td>\n",
              "      <td>Varbin Softwares</td>\n",
              "      <td>2017-12-20</td>\n",
              "      <td>2017-12-20</td>\n",
              "      <td>Everyone</td>\n",
              "      <td>False</td>\n",
              "      <td>False</td>\n",
              "      <td>0</td>\n",
              "      <td>2894</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1110964</th>\n",
              "      <td>Rajput India</td>\n",
              "      <td>com.varbin.rajputindia</td>\n",
              "      <td>Social</td>\n",
              "      <td>4.6</td>\n",
              "      <td>81</td>\n",
              "      <td>18892</td>\n",
              "      <td>True</td>\n",
              "      <td>8.8</td>\n",
              "      <td>4.1</td>\n",
              "      <td>Varbin Softwares</td>\n",
              "      <td>2017-06-15</td>\n",
              "      <td>2018-09-27</td>\n",
              "      <td>Teen</td>\n",
              "      <td>True</td>\n",
              "      <td>False</td>\n",
              "      <td>1</td>\n",
              "      <td>2706</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>1110965 rows × 17 columns</p>\n",
              "</div>"
            ],
            "text/plain": [
              "                                                  App Name  ... Released Numerics\n",
              "0                                   HTTrack Website Copier  ...              1303\n",
              "1                            World War 2: Offline Strategy  ...              3105\n",
              "2                                                   WPSApp  ...              2241\n",
              "3        OfficeSuite - Office, PDF, Word, Excel, PowerP...  ...               704\n",
              "4                                         Loud Player Free  ...              2442\n",
              "...                                                    ...  ...               ...\n",
              "1110960                                    Safer Job Sites  ...              3503\n",
              "1110961                                          AutoThink  ...              3600\n",
              "1110962                                        FieldEnable  ...              3025\n",
              "1110963                                       Live Concert  ...              2894\n",
              "1110964                                       Rajput India  ...              2706\n",
              "\n",
              "[1110965 rows x 17 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 47
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "9A4OFW7VKuIj"
      },
      "source": [
        "# Identify the most rated category in Google play store"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kq9B-cvekZip",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 106
        },
        "outputId": "511e4cb4-85f5-4c7f-ab08-261692de4571"
      },
      "source": [
        "ratings_and_category=df[['Category','Rating Count']]\n",
        "\n",
        "#find sum in each category\n",
        "category_wise_sum=ratings_and_category.groupby('Category').sum()\n",
        "\n",
        "#filter the category with maximum count\n",
        "most_rated_category=category_wise_sum[category_wise_sum['Rating Count']==category_wise_sum['Rating Count'].values.max()]\n",
        "most_rated_category"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        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>Rating Count</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Category</th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>Action</th>\n",
              "      <td>502780770</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "          Rating Count\n",
              "Category              \n",
              "Action       502780770"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 109
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "sHDLbq-ycls8"
      },
      "source": [
        "# Identify the average ratings with respect to the total number of apps released by a developer"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "i9ZbLctwKsIm",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 461
        },
        "outputId": "0d896345-e002-4a44-9f04-061bb27d9ad3"
      },
      "source": [
        "ratings_and_developer=df[['App Id','Rating','Rating Count','Developer Id']]\n",
        "\n",
        "#find mean in each category\n",
        "developer_wise_count_and_mean=ratings_and_developer.groupby('Developer Id').agg({'Rating': ['mean'], 'Rating Count':['sum'], 'App Id':['count']})\n",
        "\n",
        "developer_wise_count_and_mean[('Rating', 'mean')]=np.round(developer_wise_count_and_mean[('Rating', 'mean')], decimals=1)\n",
        "developer_wise_count_and_mean[('Rating Count', 'sum')]=np.round(developer_wise_count_and_mean[('Rating Count', 'sum')], decimals=1)\n",
        "\n",
        "developer_wise_count_and_mean=developer_wise_count_and_mean.sort_values([('Rating', 'mean'),('Rating Count', 'sum'),('App Id', 'count')], ascending=[False, False,False])\n",
        "developer_wise_count_and_mean\n"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead tr th {\n",
              "        text-align: left;\n",
              "    }\n",
              "\n",
              "    .dataframe thead tr:last-of-type th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr>\n",
              "      <th></th>\n",
              "      <th>Rating</th>\n",
              "      <th>Rating Count</th>\n",
              "      <th>App Id</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th></th>\n",
              "      <th>mean</th>\n",
              "      <th>sum</th>\n",
              "      <th>count</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Developer Id</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>Уроки йоги и медитации - Yogashkola</th>\n",
              "      <td>5.0</td>\n",
              "      <td>42649.0</td>\n",
              "      <td>2</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>WillamBlock</th>\n",
              "      <td>5.0</td>\n",
              "      <td>31922.0</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>AimeeDemi</th>\n",
              "      <td>5.0</td>\n",
              "      <td>21112.0</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>FannieDemi</th>\n",
              "      <td>5.0</td>\n",
              "      <td>18667.0</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Valer BOCAN</th>\n",
              "      <td>5.0</td>\n",
              "      <td>14172.0</td>\n",
              "      <td>6</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>피렐루페렐</th>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>한그루</th>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>한화생명</th>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>화이트비즈</th>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>🔺 Wastickers - Stickers Gratis 🔺</th>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>144623 rows × 3 columns</p>\n",
              "</div>"
            ],
            "text/plain": [
              "                                    Rating Rating Count App Id\n",
              "                                      mean          sum  count\n",
              "Developer Id                                                  \n",
              "Уроки йоги и медитации - Yogashkola    5.0      42649.0      2\n",
              "WillamBlock                            5.0      31922.0      1\n",
              "AimeeDemi                              5.0      21112.0      1\n",
              "FannieDemi                             5.0      18667.0      1\n",
              "Valer BOCAN                            5.0      14172.0      6\n",
              "...                                    ...          ...    ...\n",
              "피렐루페렐                                  0.0          0.0      1\n",
              "한그루                                    0.0          0.0      1\n",
              "한화생명                                   0.0          0.0      1\n",
              "화이트비즈                                  0.0          0.0      1\n",
              "🔺 Wastickers - Stickers Gratis 🔺       0.0          0.0      1\n",
              "\n",
              "[144623 rows x 3 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 171
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "bozjdT7GcZsI"
      },
      "source": [
        "# Identify the developer involvement by analyzing released and last updated dates"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "mgr0lomfst_V"
      },
      "source": [
        "#convert to date\n",
        "df['Last Updated']=pd.to_datetime(df['Last Updated'], format='%Y-%m-%d')\n",
        "df['Released']=pd.to_datetime(df['Released'], format='%Y-%m-%d')\n",
        "\n",
        "#create new column \n",
        "df['Days Between Released and Updated'] = df['Last Updated'] - df['Released']"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "n6_HKU7MLJSZ"
      },
      "source": [
        "df['Days Between Current and Updated'] = pd.to_datetime(str(date.today()), format='%Y-%m-%d') - df['Released']"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GPHP0DCgtYNC",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 461
        },
        "outputId": "1ccb77d5-2585-4b43-ca74-89bc7f778141"
      },
      "source": [
        "if df['Days Between Released and Updated'].dtypes == 'timedelta64[ns]' :\n",
        "  df['Days Between Released and Updated']=(df['Days Between Released and Updated'] / np.timedelta64(1, 'D')).astype(int)\n",
        "else :\n",
        "  df['Days Between Released and Updated']=df['Days Between Released and Updated']\n",
        "\n",
        "if df['Days Between Current and Updated'].dtypes == 'timedelta64[ns]' :\n",
        "  df['Days Between Current and Updated']=(df['Days Between Current and Updated'] / np.timedelta64(1, 'D')).astype(int)\n",
        "else :\n",
        "  df['Days Between Current and Updated']=df['Days Between Current and Updated']\n",
        "\n",
        "df.loc[df[\"Days Between Released and Updated\"] < 0, \"Days Between Released and Updated\"] = 0\n",
        "\n",
        "dates_and_developer=df[['Days Between Released and Updated','Days Between Current and Updated','Developer Id']]\n",
        "\n",
        "developer_wise_day_released_updated=dates_and_developer.groupby('Developer Id').agg({'Days Between Released and Updated': ['mean'],'Days Between Current and Updated' : ['mean']})\n",
        "\n",
        "developer_wise_day_released_updated[('Days Between Released and Updated', 'mean')]=np.round(developer_wise_day_released_updated[('Days Between Released and Updated', 'mean')], decimals=0)\n",
        "developer_wise_day_released_updated[('Days Between Current and Updated', 'mean')]=np.round(developer_wise_day_released_updated[('Days Between Current and Updated', 'mean')], decimals=0)\n",
        "\n",
        "developer_wise_day_released_updated=developer_wise_day_released_updated.sort_values([('Days Between Current and Updated', 'mean'),('Days Between Released and Updated', 'mean')], ascending=[True, False])\n",
        "developer_wise_day_released_updated"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead tr th {\n",
              "        text-align: left;\n",
              "    }\n",
              "\n",
              "    .dataframe thead tr:last-of-type th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr>\n",
              "      <th></th>\n",
              "      <th>Days Between Released and Updated</th>\n",
              "      <th>Days Between Current and Updated</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th></th>\n",
              "      <th>mean</th>\n",
              "      <th>mean</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Developer Id</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>M.NABHAN TOBAL</th>\n",
              "      <td>0.0</td>\n",
              "      <td>168.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Maharishi Foundation International</th>\n",
              "      <td>0.0</td>\n",
              "      <td>168.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>David Chipundo</th>\n",
              "      <td>1.0</td>\n",
              "      <td>169.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Devyac</th>\n",
              "      <td>0.0</td>\n",
              "      <td>169.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Social Ninja Game</th>\n",
              "      <td>0.0</td>\n",
              "      <td>169.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Bobby Jaeger</th>\n",
              "      <td>197.0</td>\n",
              "      <td>4128.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Leo GmbH</th>\n",
              "      <td>3930.0</td>\n",
              "      <td>4129.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Spamdrain AB</th>\n",
              "      <td>3577.0</td>\n",
              "      <td>4129.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Symantec VIP</th>\n",
              "      <td>3581.0</td>\n",
              "      <td>4130.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Cyberia Hosting - Mahmoud Jisri</th>\n",
              "      <td>44.0</td>\n",
              "      <td>4150.0</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>164878 rows × 2 columns</p>\n",
              "</div>"
            ],
            "text/plain": [
              "                                   Days Between Released and Updated Days Between Current and Updated\n",
              "                                                                mean                             mean\n",
              "Developer Id                                                                                         \n",
              "M.NABHAN TOBAL                                                   0.0                            168.0\n",
              "Maharishi Foundation International                               0.0                            168.0\n",
              "David Chipundo                                                   1.0                            169.0\n",
              "Devyac                                                           0.0                            169.0\n",
              "Social Ninja Game                                                0.0                            169.0\n",
              "...                                                              ...                              ...\n",
              "Bobby Jaeger                                                   197.0                           4128.0\n",
              "Leo GmbH                                                      3930.0                           4129.0\n",
              "Spamdrain AB                                                  3577.0                           4129.0\n",
              "Symantec VIP                                                  3581.0                           4130.0\n",
              "Cyberia Hosting - Mahmoud Jisri                                 44.0                           4150.0\n",
              "\n",
              "[164878 rows x 2 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 91
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "P84OJfojUgEO"
      },
      "source": [
        "# Correlation"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "yfIKpZHnB1HZ"
      },
      "source": [
        "**Negative correlation :**\n",
        "The y values tend to decrease as the x values increase. This shows strong negative correlation, which occurs when large values of one feature correspond to small values of the other, and vice versa.\n",
        "\n",
        "**Weak or no correlation** **:** \n",
        "Occurs when an association between two features is not obvious or is hardly observable.\n",
        "\n",
        "**Positive correlation** **:** \n",
        "Strong positive correlation, which occurs when large values of one feature correspond to large values of the other, and vice versa."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "jThjpQFr2Jhu"
      },
      "source": [
        "enc = LabelEncoder()\n",
        "\n",
        "# enc.fit(df['Ad Supported'])\n",
        "# df['Ad Supported Numerics'] = enc.transform(df['Ad Supported'])\n",
        "\n",
        "# enc.fit(df['Category'])\n",
        "# df['Category Numerics'] = enc.transform(df['Category'])\n",
        "\n",
        "# enc.fit(df['Content Rating'])\n",
        "# df['Content Rating Numerics'] = enc.transform(df['Content Rating'])\n"
      ],
      "execution_count": 58,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GzOvGeFZAb7H",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 334
        },
        "outputId": "bcfb3b29-bd78-463f-b357-d235188b2562"
      },
      "source": [
        "#correlation matrix\n",
        "df_numerical=df[['Rating','Rating Count','Maximum Installs','Size','Minimum Android','Ad Supported Numerics','Category Numerics','Content Rating Numerics']]\n",
        "df_numerical.corr()"
      ],
      "execution_count": 59,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        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>Rating</th>\n",
              "      <th>Rating Count</th>\n",
              "      <th>Maximum Installs</th>\n",
              "      <th>Size</th>\n",
              "      <th>Minimum Android</th>\n",
              "      <th>Ad Supported Numerics</th>\n",
              "      <th>Category Numerics</th>\n",
              "      <th>Content Rating Numerics</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>Rating</th>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.016636</td>\n",
              "      <td>0.014902</td>\n",
              "      <td>0.085326</td>\n",
              "      <td>-0.047777</td>\n",
              "      <td>0.095959</td>\n",
              "      <td>0.032896</td>\n",
              "      <td>0.026329</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Rating Count</th>\n",
              "      <td>0.016636</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.559159</td>\n",
              "      <td>0.022825</td>\n",
              "      <td>0.002338</td>\n",
              "      <td>0.002391</td>\n",
              "      <td>0.002806</td>\n",
              "      <td>0.012651</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Maximum Installs</th>\n",
              "      <td>0.014902</td>\n",
              "      <td>0.559159</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.011697</td>\n",
              "      <td>0.003229</td>\n",
              "      <td>-0.001443</td>\n",
              "      <td>0.005932</td>\n",
              "      <td>0.007345</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Size</th>\n",
              "      <td>0.085326</td>\n",
              "      <td>0.022825</td>\n",
              "      <td>0.011697</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.191932</td>\n",
              "      <td>-0.036047</td>\n",
              "      <td>-0.015408</td>\n",
              "      <td>0.068917</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Minimum Android</th>\n",
              "      <td>-0.047777</td>\n",
              "      <td>0.002338</td>\n",
              "      <td>0.003229</td>\n",
              "      <td>0.191932</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>-0.102871</td>\n",
              "      <td>0.041141</td>\n",
              "      <td>0.026931</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Ad Supported Numerics</th>\n",
              "      <td>0.095959</td>\n",
              "      <td>0.002391</td>\n",
              "      <td>-0.001443</td>\n",
              "      <td>-0.036047</td>\n",
              "      <td>-0.102871</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>-0.011179</td>\n",
              "      <td>0.126481</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Category Numerics</th>\n",
              "      <td>0.032896</td>\n",
              "      <td>0.002806</td>\n",
              "      <td>0.005932</td>\n",
              "      <td>-0.015408</td>\n",
              "      <td>0.041141</td>\n",
              "      <td>-0.011179</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>-0.001113</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Content Rating Numerics</th>\n",
              "      <td>0.026329</td>\n",
              "      <td>0.012651</td>\n",
              "      <td>0.007345</td>\n",
              "      <td>0.068917</td>\n",
              "      <td>0.026931</td>\n",
              "      <td>0.126481</td>\n",
              "      <td>-0.001113</td>\n",
              "      <td>1.000000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                           Rating  ...  Content Rating Numerics\n",
              "Rating                   1.000000  ...                 0.026329\n",
              "Rating Count             0.016636  ...                 0.012651\n",
              "Maximum Installs         0.014902  ...                 0.007345\n",
              "Size                     0.085326  ...                 0.068917\n",
              "Minimum Android         -0.047777  ...                 0.026931\n",
              "Ad Supported Numerics    0.095959  ...                 0.126481\n",
              "Category Numerics        0.032896  ...                -0.001113\n",
              "Content Rating Numerics  0.026329  ...                 1.000000\n",
              "\n",
              "[8 rows x 8 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 59
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "EnKLvylucJkJ"
      },
      "source": [
        "# Identify the correlation between Ratings and Ad Supported feature"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "mskIyM4dqTYA"
      },
      "source": [
        "x=df['Ad Supported Numerics']\n",
        "y=df['Rating']\n",
        "\n",
        "np.corrcoef(x, y)\n",
        "linregress(x, y)"
      ],
      "execution_count": 28,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "lN7Qtd9aqdBE",
        "outputId": "68fb959b-3641-456e-e2aa-edf95e77f4b2",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        }
      },
      "source": [
        "slope, intercept, r, p, stderr = linregress(x, y)\n",
        "line = f'Regression line: y={intercept:.2f}+{slope:.2f}x, r={r:.2f}'\n",
        "line"
      ],
      "execution_count": 31,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "string"
            },
            "text/plain": [
              "'Regression line: y=2.22+0.41x, r=0.10'"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 31
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "SC-r4HESTMTS",
        "outputId": "5990f58d-80e5-4860-b821-6ca361c9f73a",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 480
        }
      },
      "source": [
        "add_supported_and_rating=df[['Ad Supported','Rating']]\n",
        "\n",
        "#for ad supported True\n",
        "supported_true=add_supported_and_rating[add_supported_and_rating['Ad Supported']==True]\n",
        "supported_true=supported_true.groupby(['Rating']).size().reset_index(name='Counts')\n",
        "\n",
        "supported_true.plot(x ='Rating', y='Counts', kind = 'line')\n",
        "plt.title('Rating for Ad Supported Apps',fontdict={'size':20,'weight':'bold'})\n",
        "plt.show()\n"
      ],
      "execution_count": 110,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "0bISBitZfI2b",
        "outputId": "5c63bcb5-49e9-4409-8c32-9fddba47d049",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 480
        }
      },
      "source": [
        "#for ad supported False\n",
        "supported_false=add_supported_and_rating[add_supported_and_rating['Ad Supported']==False]\n",
        "supported_false=supported_false.groupby(['Rating']).size().reset_index(name='Counts')\n",
        "\n",
        "supported_false.plot(x ='Rating', y='Counts', kind = 'line')\n",
        "plt.title('Rating for Ad Not Supported Apps',fontdict={'size':20,'weight':'bold'})\n",
        "plt.show()\n"
      ],
      "execution_count": 109,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xWB_3D7ecQC7"
      },
      "source": [
        "# Identify the correlation between Ratings and Installs"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8EUFQYtcgW81"
      },
      "source": [
        "x=df_new['Rating']\n",
        "y=df_new['Maximum Installs']\n",
        "\n",
        "np.corrcoef(x, y)\n",
        "linregress(x, y)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9U4EaeVQgdZ8",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        },
        "outputId": "e9ba6379-51b9-4ab9-8e28-dec45701f3a5"
      },
      "source": [
        "slope, intercept, r, p, stderr = linregress(x, y)\n",
        "line = f'Regression line: y={intercept:.2f}+{slope:.2f}x, r={r:.2f}'\n",
        "line"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "string"
            },
            "text/plain": [
              "'Regression line: y=-2008.13+220605.42x, r=0.01'"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 70
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "nA-stQbRgf76",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 526
        },
        "outputId": "1c974989-ca74-408e-c34e-4675c1410645"
      },
      "source": [
        "plt.style.use('default')\n",
        "fig, ax = plt.subplots()\n",
        "ax.plot(x, y, linewidth=0, marker='8', label='Data points')\n",
        "ax.plot(x, intercept + slope * x, label=line)\n",
        "ax.set_xlabel('Rating Count')\n",
        "ax.set_ylabel('Installs')\n",
        "ax.set_title('Correlation between Rating Count & Installs')\n",
        "ax.legend(facecolor='white')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/IPython/core/pylabtools.py:125: UserWarning: Creating legend with loc=\"best\" can be slow with large amounts of data.\n",
            "  fig.canvas.print_figure(bytes_io, **kw)\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "bzoUwZt9cfw5"
      },
      "source": [
        "# Identify the correlation between Android App Version and Installation"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "XBINj7RJiNa9"
      },
      "source": [
        "x=df['Minimum Android']\n",
        "y=df['Maximum Installs']\n",
        "\n",
        "np.corrcoef(x, y)\n",
        "linregress(x, y)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "QLgdlRhUirK8",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        },
        "outputId": "8245105c-9c15-4814-c3a8-1485df3de584"
      },
      "source": [
        "slope, intercept, r, p, stderr = linregress(x, y)\n",
        "line = f'Regression line: y={intercept:.2f}+{slope:.2f}x, r={r:.2f}'\n",
        "line"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "string"
            },
            "text/plain": [
              "'Regression line: y=49244.75+122983.18x, r=0.00'"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 44
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ilca-N1niurA",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "outputId": "eb0874a2-849b-48d6-9a2f-1540a99fdcd2"
      },
      "source": [
        "plt.style.use('default')\n",
        "fig, ax = plt.subplots()\n",
        "ax.plot(x, y, linewidth=0, marker='8', label='Data points')\n",
        "ax.plot(x, intercept + slope * x, label=line)\n",
        "ax.set_xlabel('Minimum Android Version')\n",
        "ax.set_ylabel('Installs')\n",
        "ax.set_title('Correlation between Minimum Android Version & Installs')\n",
        "ax.legend(facecolor='white')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "7XZyi5a_bfX4"
      },
      "source": [
        "# Identify whether there is a relationship between Rating Counts and Installations"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "jBymq2Scf7HS"
      },
      "source": [
        "x=df['Rating Count']\n",
        "y=df['Maximum Installs']\n",
        "\n",
        "np.corrcoef(x, y)\n",
        "linregress(x, y)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3D-w9OlOWMgv",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        },
        "outputId": "eb212880-bc1b-4f65-8747-d24c7acb11db"
      },
      "source": [
        "slope, intercept, r, p, stderr = linregress(x, y)\n",
        "line = f'Regression line: y={intercept:.2f}+{slope:.2f}x, r={r:.2f}'\n",
        "line"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "string"
            },
            "text/plain": [
              "'Regression line: y=189779.55+69.98x, r=0.60'"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 27
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "zQuSvXZ_WZkk",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "outputId": "23cc14dd-2d98-467f-bcfc-abe95b86073b"
      },
      "source": [
        "plt.style.use('default')\n",
        "fig, ax = plt.subplots()\n",
        "ax.plot(x, y, linewidth=0, marker='8', label='Data points')\n",
        "ax.plot(x, intercept + slope * x, label=line)\n",
        "ax.set_xlabel('Rating Count')\n",
        "ax.set_ylabel('Installs')\n",
        "ax.set_title('Correlation between Rating Count & Installs')\n",
        "ax.legend(facecolor='white')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "NNOZRiKMcuCg"
      },
      "source": [
        "# Identify whether there is a relationship between Content Ratings and Categories"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "XmXTlysnz1A5"
      },
      "source": [
        "x=df['Category']\n",
        "y=df['Content Rating']\n",
        "\n",
        "np.corrcoef(x, y)\n",
        "linregress(x, y)"
      ],
      "execution_count": 54,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VdfVEV6x0pEk",
        "outputId": "f9b087a2-d6c2-4e17-d971-5af447a34e0a",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        }
      },
      "source": [
        "slope, intercept, r, p, stderr = linregress(x, y)\n",
        "line = f'Regression line: y={intercept:.2f}+{slope:.2f}x, r={r:.2f}'\n",
        "line"
      ],
      "execution_count": 52,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "string"
            },
            "text/plain": [
              "'Regression line: y=1.34+-0.00x, r=-0.00'"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 52
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "lMBkc8_F0r_C"
      },
      "source": [
        "plt.style.use('default')\n",
        "fig, ax = plt.subplots()\n",
        "ax.plot(x, y, linewidth=0, marker='8', label='Data points')\n",
        "ax.plot(x, intercept + slope * x, label=line)\n",
        "ax.set_xlabel('Category')\n",
        "ax.set_ylabel('Content Rating')\n",
        "ax.set_title('Correlation between Category Date & Content Rating')\n",
        "ax.legend(facecolor='white')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "zj34hX0NE9I_",
        "outputId": "9c1b7dfd-1c90-4129-cd09-a88b5c5a04c6",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "source": [
        "category_vs_contentrating=pd.crosstab(df['Category'],df['Content Rating'])\n",
        "category_vs_contentrating['Category']=df['Category']\n",
        "#Everyone, Everyone 10+, Mature 17+,Teen\n",
        "#category_vs_contentrating_df=category_vs_contentrating[category_vs_contentrating['Adults only 18+']==category_vs_contentrating['Adults only 18+'].values.max()]\n",
        "#category_vs_contentrating_df['Adults only 18+']\n",
        "#category_wise_sum['Rating Count']==category_wise_sum['Rating Count'].values.max()"
      ],
      "execution_count": 114,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        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>Content Rating</th>\n",
              "      <th>Adults only 18+</th>\n",
              "      <th>Everyone</th>\n",
              "      <th>Everyone 10+</th>\n",
              "      <th>Mature 17+</th>\n",
              "      <th>Teen</th>\n",
              "      <th>Category</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Category</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>Action</th>\n",
              "      <td>0</td>\n",
              "      <td>4725</td>\n",
              "      <td>1662</td>\n",
              "      <td>1019</td>\n",
              "      <td>4917</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Adventure</th>\n",
              "      <td>1</td>\n",
              "      <td>6113</td>\n",
              "      <td>883</td>\n",
              "      <td>305</td>\n",
              "      <td>2720</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Arcade</th>\n",
              "      <td>1</td>\n",
              "      <td>14799</td>\n",
              "      <td>926</td>\n",
              "      <td>158</td>\n",
              "      <td>1481</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Art &amp; Design</th>\n",
              "      <td>1</td>\n",
              "      <td>11193</td>\n",
              "      <td>106</td>\n",
              "      <td>255</td>\n",
              "      <td>708</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Auto &amp; Vehicles</th>\n",
              "      <td>0</td>\n",
              "      <td>6297</td>\n",
              "      <td>65</td>\n",
              "      <td>34</td>\n",
              "      <td>376</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Beauty</th>\n",
              "      <td>0</td>\n",
              "      <td>5600</td>\n",
              "      <td>37</td>\n",
              "      <td>136</td>\n",
              "      <td>451</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Board</th>\n",
              "      <td>0</td>\n",
              "      <td>4452</td>\n",
              "      <td>84</td>\n",
              "      <td>61</td>\n",
              "      <td>612</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Books &amp; Reference</th>\n",
              "      <td>6</td>\n",
              "      <td>72966</td>\n",
              "      <td>1758</td>\n",
              "      <td>819</td>\n",
              "      <td>3235</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Business</th>\n",
              "      <td>1</td>\n",
              "      <td>39970</td>\n",
              "      <td>84</td>\n",
              "      <td>233</td>\n",
              "      <td>1546</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Card</th>\n",
              "      <td>0</td>\n",
              "      <td>2857</td>\n",
              "      <td>51</td>\n",
              "      <td>48</td>\n",
              "      <td>1674</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Casino</th>\n",
              "      <td>3</td>\n",
              "      <td>139</td>\n",
              "      <td>6</td>\n",
              "      <td>26</td>\n",
              "      <td>2461</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Casual</th>\n",
              "      <td>0</td>\n",
              "      <td>17008</td>\n",
              "      <td>632</td>\n",
              "      <td>313</td>\n",
              "      <td>2024</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Comics</th>\n",
              "      <td>0</td>\n",
              "      <td>1005</td>\n",
              "      <td>118</td>\n",
              "      <td>176</td>\n",
              "      <td>805</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Communication</th>\n",
              "      <td>2</td>\n",
              "      <td>14762</td>\n",
              "      <td>55</td>\n",
              "      <td>985</td>\n",
              "      <td>2430</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Dating</th>\n",
              "      <td>1</td>\n",
              "      <td>356</td>\n",
              "      <td>30</td>\n",
              "      <td>2279</td>\n",
              "      <td>207</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Education</th>\n",
              "      <td>3</td>\n",
              "      <td>111207</td>\n",
              "      <td>1039</td>\n",
              "      <td>568</td>\n",
              "      <td>2012</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Educational</th>\n",
              "      <td>0</td>\n",
              "      <td>10872</td>\n",
              "      <td>157</td>\n",
              "      <td>22</td>\n",
              "      <td>235</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Entertainment</th>\n",
              "      <td>7</td>\n",
              "      <td>66040</td>\n",
              "      <td>936</td>\n",
              "      <td>4238</td>\n",
              "      <td>10661</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Events</th>\n",
              "      <td>0</td>\n",
              "      <td>3286</td>\n",
              "      <td>55</td>\n",
              "      <td>31</td>\n",
              "      <td>378</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Finance</th>\n",
              "      <td>2</td>\n",
              "      <td>24174</td>\n",
              "      <td>30</td>\n",
              "      <td>176</td>\n",
              "      <td>289</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Food &amp; Drink</th>\n",
              "      <td>1</td>\n",
              "      <td>22318</td>\n",
              "      <td>92</td>\n",
              "      <td>867</td>\n",
              "      <td>834</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Health &amp; Fitness</th>\n",
              "      <td>1</td>\n",
              "      <td>29552</td>\n",
              "      <td>250</td>\n",
              "      <td>417</td>\n",
              "      <td>1046</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>House &amp; Home</th>\n",
              "      <td>0</td>\n",
              "      <td>5204</td>\n",
              "      <td>7</td>\n",
              "      <td>114</td>\n",
              "      <td>116</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Libraries &amp; Demo</th>\n",
              "      <td>0</td>\n",
              "      <td>2245</td>\n",
              "      <td>6</td>\n",
              "      <td>23</td>\n",
              "      <td>88</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Lifestyle</th>\n",
              "      <td>1</td>\n",
              "      <td>48223</td>\n",
              "      <td>374</td>\n",
              "      <td>1266</td>\n",
              "      <td>4564</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Maps &amp; Navigation</th>\n",
              "      <td>0</td>\n",
              "      <td>9952</td>\n",
              "      <td>228</td>\n",
              "      <td>67</td>\n",
              "      <td>141</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Medical</th>\n",
              "      <td>0</td>\n",
              "      <td>11809</td>\n",
              "      <td>231</td>\n",
              "      <td>132</td>\n",
              "      <td>296</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Music</th>\n",
              "      <td>0</td>\n",
              "      <td>2200</td>\n",
              "      <td>24</td>\n",
              "      <td>56</td>\n",
              "      <td>213</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Music &amp; Audio</th>\n",
              "      <td>2</td>\n",
              "      <td>77675</td>\n",
              "      <td>935</td>\n",
              "      <td>5765</td>\n",
              "      <td>20058</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>News &amp; Magazines</th>\n",
              "      <td>1</td>\n",
              "      <td>18094</td>\n",
              "      <td>1828</td>\n",
              "      <td>490</td>\n",
              "      <td>1097</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Parenting</th>\n",
              "      <td>0</td>\n",
              "      <td>1647</td>\n",
              "      <td>16</td>\n",
              "      <td>28</td>\n",
              "      <td>80</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Personalization</th>\n",
              "      <td>0</td>\n",
              "      <td>60123</td>\n",
              "      <td>353</td>\n",
              "      <td>4208</td>\n",
              "      <td>8710</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Photography</th>\n",
              "      <td>1</td>\n",
              "      <td>26977</td>\n",
              "      <td>70</td>\n",
              "      <td>445</td>\n",
              "      <td>1379</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Productivity</th>\n",
              "      <td>1</td>\n",
              "      <td>29385</td>\n",
              "      <td>26</td>\n",
              "      <td>213</td>\n",
              "      <td>459</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Puzzle</th>\n",
              "      <td>2</td>\n",
              "      <td>22875</td>\n",
              "      <td>385</td>\n",
              "      <td>191</td>\n",
              "      <td>1181</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Racing</th>\n",
              "      <td>0</td>\n",
              "      <td>5136</td>\n",
              "      <td>286</td>\n",
              "      <td>63</td>\n",
              "      <td>444</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Role Playing</th>\n",
              "      <td>0</td>\n",
              "      <td>2277</td>\n",
              "      <td>963</td>\n",
              "      <td>202</td>\n",
              "      <td>2032</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Shopping</th>\n",
              "      <td>0</td>\n",
              "      <td>19094</td>\n",
              "      <td>10</td>\n",
              "      <td>594</td>\n",
              "      <td>620</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Simulation</th>\n",
              "      <td>0</td>\n",
              "      <td>11416</td>\n",
              "      <td>844</td>\n",
              "      <td>399</td>\n",
              "      <td>2407</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Social</th>\n",
              "      <td>1</td>\n",
              "      <td>6299</td>\n",
              "      <td>34</td>\n",
              "      <td>2340</td>\n",
              "      <td>8200</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Sports</th>\n",
              "      <td>11</td>\n",
              "      <td>19291</td>\n",
              "      <td>566</td>\n",
              "      <td>345</td>\n",
              "      <td>1719</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Strategy</th>\n",
              "      <td>0</td>\n",
              "      <td>2160</td>\n",
              "      <td>924</td>\n",
              "      <td>68</td>\n",
              "      <td>814</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Tools</th>\n",
              "      <td>1</td>\n",
              "      <td>66044</td>\n",
              "      <td>150</td>\n",
              "      <td>993</td>\n",
              "      <td>1056</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Travel &amp; Local</th>\n",
              "      <td>0</td>\n",
              "      <td>24145</td>\n",
              "      <td>320</td>\n",
              "      <td>237</td>\n",
              "      <td>1070</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Trivia</th>\n",
              "      <td>1</td>\n",
              "      <td>5001</td>\n",
              "      <td>52</td>\n",
              "      <td>96</td>\n",
              "      <td>297</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Video Players &amp; Editors</th>\n",
              "      <td>1</td>\n",
              "      <td>8277</td>\n",
              "      <td>20</td>\n",
              "      <td>189</td>\n",
              "      <td>547</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Weather</th>\n",
              "      <td>0</td>\n",
              "      <td>2709</td>\n",
              "      <td>36</td>\n",
              "      <td>35</td>\n",
              "      <td>154</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Word</th>\n",
              "      <td>0</td>\n",
              "      <td>4343</td>\n",
              "      <td>53</td>\n",
              "      <td>57</td>\n",
              "      <td>197</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "Content Rating           Adults only 18+  Everyone  ...   Teen  Category\n",
              "Category                                            ...                 \n",
              "Action                                 0      4725  ...   4917       NaN\n",
              "Adventure                              1      6113  ...   2720       NaN\n",
              "Arcade                                 1     14799  ...   1481       NaN\n",
              "Art & Design                           1     11193  ...    708       NaN\n",
              "Auto & Vehicles                        0      6297  ...    376       NaN\n",
              "Beauty                                 0      5600  ...    451       NaN\n",
              "Board                                  0      4452  ...    612       NaN\n",
              "Books & Reference                      6     72966  ...   3235       NaN\n",
              "Business                               1     39970  ...   1546       NaN\n",
              "Card                                   0      2857  ...   1674       NaN\n",
              "Casino                                 3       139  ...   2461       NaN\n",
              "Casual                                 0     17008  ...   2024       NaN\n",
              "Comics                                 0      1005  ...    805       NaN\n",
              "Communication                          2     14762  ...   2430       NaN\n",
              "Dating                                 1       356  ...    207       NaN\n",
              "Education                              3    111207  ...   2012       NaN\n",
              "Educational                            0     10872  ...    235       NaN\n",
              "Entertainment                          7     66040  ...  10661       NaN\n",
              "Events                                 0      3286  ...    378       NaN\n",
              "Finance                                2     24174  ...    289       NaN\n",
              "Food & Drink                           1     22318  ...    834       NaN\n",
              "Health & Fitness                       1     29552  ...   1046       NaN\n",
              "House & Home                           0      5204  ...    116       NaN\n",
              "Libraries & Demo                       0      2245  ...     88       NaN\n",
              "Lifestyle                              1     48223  ...   4564       NaN\n",
              "Maps & Navigation                      0      9952  ...    141       NaN\n",
              "Medical                                0     11809  ...    296       NaN\n",
              "Music                                  0      2200  ...    213       NaN\n",
              "Music & Audio                          2     77675  ...  20058       NaN\n",
              "News & Magazines                       1     18094  ...   1097       NaN\n",
              "Parenting                              0      1647  ...     80       NaN\n",
              "Personalization                        0     60123  ...   8710       NaN\n",
              "Photography                            1     26977  ...   1379       NaN\n",
              "Productivity                           1     29385  ...    459       NaN\n",
              "Puzzle                                 2     22875  ...   1181       NaN\n",
              "Racing                                 0      5136  ...    444       NaN\n",
              "Role Playing                           0      2277  ...   2032       NaN\n",
              "Shopping                               0     19094  ...    620       NaN\n",
              "Simulation                             0     11416  ...   2407       NaN\n",
              "Social                                 1      6299  ...   8200       NaN\n",
              "Sports                                11     19291  ...   1719       NaN\n",
              "Strategy                               0      2160  ...    814       NaN\n",
              "Tools                                  1     66044  ...   1056       NaN\n",
              "Travel & Local                         0     24145  ...   1070       NaN\n",
              "Trivia                                 1      5001  ...    297       NaN\n",
              "Video Players & Editors                1      8277  ...    547       NaN\n",
              "Weather                                0      2709  ...    154       NaN\n",
              "Word                                   0      4343  ...    197       NaN\n",
              "\n",
              "[48 rows x 6 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 114
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "nNpnyGASPTKP",
        "outputId": "63093dbd-ab31-4be5-f5bd-ee9858fac12b",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "source": [
        "category_vs_contentrating.idxmax(axis=1)"
      ],
      "execution_count": 79,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Category\n",
              "Action                           Teen\n",
              "Adventure                    Everyone\n",
              "Arcade                       Everyone\n",
              "Art & Design                 Everyone\n",
              "Auto & Vehicles              Everyone\n",
              "Beauty                       Everyone\n",
              "Board                        Everyone\n",
              "Books & Reference            Everyone\n",
              "Business                     Everyone\n",
              "Card                         Everyone\n",
              "Casino                           Teen\n",
              "Casual                       Everyone\n",
              "Comics                       Everyone\n",
              "Communication                Everyone\n",
              "Dating                     Mature 17+\n",
              "Education                    Everyone\n",
              "Educational                  Everyone\n",
              "Entertainment                Everyone\n",
              "Events                       Everyone\n",
              "Finance                      Everyone\n",
              "Food & Drink                 Everyone\n",
              "Health & Fitness             Everyone\n",
              "House & Home                 Everyone\n",
              "Libraries & Demo             Everyone\n",
              "Lifestyle                    Everyone\n",
              "Maps & Navigation            Everyone\n",
              "Medical                      Everyone\n",
              "Music                        Everyone\n",
              "Music & Audio                Everyone\n",
              "News & Magazines             Everyone\n",
              "Parenting                    Everyone\n",
              "Personalization              Everyone\n",
              "Photography                  Everyone\n",
              "Productivity                 Everyone\n",
              "Puzzle                       Everyone\n",
              "Racing                       Everyone\n",
              "Role Playing                 Everyone\n",
              "Shopping                     Everyone\n",
              "Simulation                   Everyone\n",
              "Social                           Teen\n",
              "Sports                       Everyone\n",
              "Strategy                     Everyone\n",
              "Tools                        Everyone\n",
              "Travel & Local               Everyone\n",
              "Trivia                       Everyone\n",
              "Video Players & Editors      Everyone\n",
              "Weather                      Everyone\n",
              "Word                         Everyone\n",
              "dtype: object"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 79
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "bTjFK2MFGFao",
        "outputId": "de575d86-f912-41b0-8725-9b6df05680cf",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "source": [
        "from scipy.stats import chi2_contingency\n",
        "chi2_contingency(pd.crosstab(df['Category'], df['Content Rating']))"
      ],
      "execution_count": 61,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(276467.37766933866,\n",
              " 0.0,\n",
              " 188,\n",
              " array([[5.87884407e-01, 1.06738955e+04, 1.97407147e+02, 3.52530985e+02,\n",
              "         1.09857848e+03],\n",
              "        [4.78112272e-01, 8.68082291e+03, 1.60546492e+02, 2.86704985e+02,\n",
              "         8.93447500e+02],\n",
              "        [8.28419437e-01, 1.50411584e+04, 2.78176995e+02, 4.96770312e+02,\n",
              "         1.54806584e+03],\n",
              "        [5.85022030e-01, 1.06219249e+04, 1.96445983e+02, 3.50814532e+02,\n",
              "         1.09322956e+03],\n",
              "        [3.23066883e-01, 5.86574863e+03, 1.08483421e+02, 1.93730409e+02,\n",
              "         6.03714475e+02],\n",
              "        [2.96923845e-01, 5.39108379e+03, 9.97047864e+01, 1.78053465e+02,\n",
              "         5.54861030e+02],\n",
              "        [2.48501978e-01, 4.51191444e+03, 8.34450887e+01, 1.49016790e+02,\n",
              "         4.64375177e+02],\n",
              "        [3.75849104e+00, 6.82408653e+04, 1.26207293e+03, 2.25381816e+03,\n",
              "         7.02348512e+03],\n",
              "        [1.99574424e+00, 3.62356362e+04, 6.70155854e+02, 1.19676874e+03,\n",
              "         3.72944350e+03],\n",
              "        [2.20880046e-01, 4.01039813e+03, 7.41698523e+01, 1.32453012e+02,\n",
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              "        [9.53028223e-01, 1.73036120e+04, 3.20019685e+02, 5.71493264e+02,\n",
              "         1.78092204e+03],\n",
              "        [1.00373999e-01, 1.82243578e+03, 3.37048314e+01, 6.01903102e+01,\n",
              "         1.87568703e+02],\n",
              "        [8.69876189e-01, 1.57938660e+04, 2.92097859e+02, 5.21630284e+02,\n",
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              "         2.56123994e+02],\n",
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              "        [5.38413001e-01, 9.77567026e+03, 1.80795022e+02, 3.22864944e+02,\n",
              "         1.00613136e+03],\n",
              "        [3.90628508e+00, 7.09242807e+04, 1.31170105e+03, 2.34244438e+03,\n",
              "         7.29966755e+03],\n",
              "        [1.78898525e-01, 3.24816263e+03, 6.00727746e+01, 1.07278357e+02,\n",
              "         3.34307336e+02],\n",
              "        [1.17696147e+00, 2.13694454e+04, 3.95214779e+02, 7.05777159e+02,\n",
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              "        [4.95572768e-01, 8.99784358e+03, 1.66409595e+02, 2.97175353e+02,\n",
              "         9.26075896e+02],\n",
              "        [5.94801816e-01, 1.07994911e+04, 1.99729961e+02, 3.56679082e+02,\n",
              "         1.11150503e+03],\n",
              "        [1.18931740e-01, 2.15937852e+03, 3.99363805e+01, 7.13186518e+01,\n",
              "         2.22247517e+02],\n",
              "        [4.98220466e+00, 9.04591639e+04, 1.67298672e+03, 2.98763073e+03,\n",
              "         9.31023645e+03],\n",
              "        [1.02616194e+00, 1.86314609e+04, 3.44577435e+02, 6.15348656e+02,\n",
              "         1.91758688e+03],\n",
              "        [8.44878101e-02, 1.53399894e+03, 2.83703690e+01, 5.06639921e+01,\n",
              "         1.57882211e+02],\n",
              "        [3.50135423e+00, 6.35721729e+04, 1.17572832e+03, 2.09962340e+03,\n",
              "         6.54297404e+03],\n",
              "        [1.37737552e+00, 2.50082537e+04, 4.62512306e+02, 8.25957527e+02,\n",
              "         2.57389904e+03],\n",
              "        [1.43519553e+00, 2.60580599e+04, 4.81927827e+02, 8.60629892e+02,\n",
              "         2.68194718e+03],\n",
              "        [1.17519634e+00, 2.13373969e+04, 3.94622061e+02, 7.04718680e+02,\n",
              "         2.19608718e+03],\n",
              "        [2.82850495e-01, 5.13556167e+03, 9.49790614e+01, 1.69614234e+02,\n",
              "         5.28562186e+02],\n",
              "        [2.61144140e-01, 4.74145127e+03, 8.76902315e+01, 1.56597794e+02,\n",
              "         4.87999563e+02],\n",
              "        [9.69296062e-01, 1.75989782e+04, 3.25482302e+02, 5.81248443e+02,\n",
              "         1.81132172e+03],\n",
              "        [7.18742715e-01, 1.30498182e+04, 2.41348379e+02, 4.31001528e+02,\n",
              "         1.34311315e+03],\n",
              "        [8.04995657e-01, 1.46158657e+04, 2.70311466e+02, 4.82723999e+02,\n",
              "         1.50429387e+03],\n",
              "        [1.04629399e+00, 1.89969874e+04, 3.51337624e+02, 6.27421047e+02,\n",
              "         1.95520760e+03],\n",
              "        [1.89203080e-01, 3.43525680e+03, 6.35329664e+01, 1.13457590e+02,\n",
              "         3.53563439e+02],\n",
              "        [3.25566692e+00, 5.91113629e+04, 1.09322838e+03, 1.95229445e+03,\n",
              "         6.08385863e+03],\n",
              "        [1.22948608e+00, 2.23231060e+04, 4.12852146e+02, 7.37274085e+02,\n",
              "         2.29753831e+03],\n",
              "        [2.59856071e-01, 4.71806450e+03, 8.72577075e+01, 1.55825390e+02,\n",
              "         4.85592550e+02],\n",
              "        [4.30978474e-01, 7.82504033e+03, 1.44719319e+02, 2.58440714e+02,\n",
              "         8.05368661e+02],\n",
              "        [1.39970206e-01, 2.54136244e+03, 4.70009388e+01, 8.39345866e+01,\n",
              "         2.61562060e+02],\n",
              "        [2.21834171e-01, 4.02772167e+03, 7.44902405e+01, 1.33025163e+02,\n",
              "         4.14541097e+02]]))"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 61
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "VvWMJu8PcyZb"
      },
      "source": [
        "# Identify whether there is a relationship between App Size and Released Date"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "dYdMC0MrByfX",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 774
        },
        "outputId": "29dbda17-4586-4aa2-c615-c0c6bc97be50"
      },
      "source": [
        "sorted_df=df.sort_values(['Released'], ascending=True)\n",
        "\n",
        "enc.fit(df['Released'])\n",
        "df['Released Numerics'] = enc.transform(df['Released'])\n",
        "\n",
        "x=df['Released Numerics']\n",
        "y=df['Size']\n",
        "\n",
        "np.corrcoef(x, y)\n",
        "linregress(x, y)"
      ],
      "execution_count": 46,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        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>App Name</th>\n",
              "      <th>App Id</th>\n",
              "      <th>Category</th>\n",
              "      <th>Rating</th>\n",
              "      <th>Rating Count</th>\n",
              "      <th>Maximum Installs</th>\n",
              "      <th>Free</th>\n",
              "      <th>Size</th>\n",
              "      <th>Minimum Android</th>\n",
              "      <th>Developer Id</th>\n",
              "      <th>Released</th>\n",
              "      <th>Last Updated</th>\n",
              "      <th>Content Rating</th>\n",
              "      <th>Ad Supported</th>\n",
              "      <th>In App Purchases</th>\n",
              "      <th>Ad Supported Numerics</th>\n",
              "      <th>Released Numerics</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>360969</th>\n",
              "      <td>Mastermind</td>\n",
              "      <td>com.android.mastermind2</td>\n",
              "      <td>Puzzle</td>\n",
              "      <td>3.7</td>\n",
              "      <td>623</td>\n",
              "      <td>128466</td>\n",
              "      <td>True</td>\n",
              "      <td>0.27</td>\n",
              "      <td>1.6</td>\n",
              "      <td>Maize</td>\n",
              "      <td>2009-02-11</td>\n",
              "      <td>2009-02-11</td>\n",
              "      <td>Everyone</td>\n",
              "      <td>False</td>\n",
              "      <td>False</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1102336</th>\n",
              "      <td>TallyBee</td>\n",
              "      <td>bsoule.rowcounter</td>\n",
              "      <td>Tools</td>\n",
              "      <td>4.1</td>\n",
              "      <td>198</td>\n",
              "      <td>20721</td>\n",
              "      <td>True</td>\n",
              "      <td>0.02</td>\n",
              "      <td>1.6</td>\n",
              "      <td>The Beehive Collective of Obtuse Nerdtastic Tools</td>\n",
              "      <td>2009-04-06</td>\n",
              "      <td>2009-04-06</td>\n",
              "      <td>Everyone</td>\n",
              "      <td>False</td>\n",
              "      <td>False</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>635853</th>\n",
              "      <td>Arabic Quotes</td>\n",
              "      <td>hekma.cyberiadns.com</td>\n",
              "      <td>Books &amp; Reference</td>\n",
              "      <td>4.3</td>\n",
              "      <td>171</td>\n",
              "      <td>55299</td>\n",
              "      <td>True</td>\n",
              "      <td>0.20</td>\n",
              "      <td>1.5</td>\n",
              "      <td>Cyberia Hosting - Mahmoud Jisri</td>\n",
              "      <td>2009-08-30</td>\n",
              "      <td>2009-08-30</td>\n",
              "      <td>Everyone</td>\n",
              "      <td>False</td>\n",
              "      <td>False</td>\n",
              "      <td>0</td>\n",
              "      <td>2</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>212674</th>\n",
              "      <td>AndroMaze</td>\n",
              "      <td>de.hechler.andmaz</td>\n",
              "      <td>Puzzle</td>\n",
              "      <td>4.1</td>\n",
              "      <td>283</td>\n",
              "      <td>22316</td>\n",
              "      <td>True</td>\n",
              "      <td>0.06</td>\n",
              "      <td>1.5</td>\n",
              "      <td>Ferenc Hechler</td>\n",
              "      <td>2009-10-14</td>\n",
              "      <td>2009-10-14</td>\n",
              "      <td>Everyone</td>\n",
              "      <td>False</td>\n",
              "      <td>False</td>\n",
              "      <td>0</td>\n",
              "      <td>3</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>635953</th>\n",
              "      <td>Canada Info</td>\n",
              "      <td>CanadaInfo.cyberiadns.com</td>\n",
              "      <td>Books &amp; Reference</td>\n",
              "      <td>4.3</td>\n",
              "      <td>35</td>\n",
              "      <td>9073</td>\n",
              "      <td>True</td>\n",
              "      <td>0.02</td>\n",
              "      <td>1.5</td>\n",
              "      <td>Cyberia Hosting - Mahmoud Jisri</td>\n",
              "      <td>2009-10-20</td>\n",
              "      <td>2009-10-20</td>\n",
              "      <td>Everyone</td>\n",
              "      <td>False</td>\n",
              "      <td>False</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1080791</th>\n",
              "      <td>PDF Reader Pro 2020</td>\n",
              "      <td>com.kmapps.pdfreaderpro</td>\n",
              "      <td>Tools</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>True</td>\n",
              "      <td>9.60</td>\n",
              "      <td>4.4</td>\n",
              "      <td>km apps</td>\n",
              "      <td>2020-12-02</td>\n",
              "      <td>2020-12-02</td>\n",
              "      <td>Everyone</td>\n",
              "      <td>True</td>\n",
              "      <td>False</td>\n",
              "      <td>1</td>\n",
              "      <td>3972</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1077117</th>\n",
              "      <td>Sm@rtClient</td>\n",
              "      <td>com.siemens.smartclient</td>\n",
              "      <td>Productivity</td>\n",
              "      <td>4.3</td>\n",
              "      <td>44</td>\n",
              "      <td>17074</td>\n",
              "      <td>True</td>\n",
              "      <td>13.00</td>\n",
              "      <td>4.0</td>\n",
              "      <td>Siemens AG</td>\n",
              "      <td>2020-12-03</td>\n",
              "      <td>2017-07-04</td>\n",
              "      <td>Everyone</td>\n",
              "      <td>False</td>\n",
              "      <td>False</td>\n",
              "      <td>0</td>\n",
              "      <td>3973</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1102332</th>\n",
              "      <td>Super bee puzzle</td>\n",
              "      <td>com.superbee.puzzle</td>\n",
              "      <td>Puzzle</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0</td>\n",
              "      <td>2</td>\n",
              "      <td>True</td>\n",
              "      <td>6.70</td>\n",
              "      <td>4.4</td>\n",
              "      <td>M.NABHAN TOBAL</td>\n",
              "      <td>2020-12-03</td>\n",
              "      <td>2020-12-03</td>\n",
              "      <td>Everyone</td>\n",
              "      <td>True</td>\n",
              "      <td>False</td>\n",
              "      <td>1</td>\n",
              "      <td>3973</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1102190</th>\n",
              "      <td>Eyes on Federal Way</td>\n",
              "      <td>com.cityoffederalway.seeclickfix</td>\n",
              "      <td>Tools</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>True</td>\n",
              "      <td>11.00</td>\n",
              "      <td>5.0</td>\n",
              "      <td>SeeClickFix</td>\n",
              "      <td>2020-12-03</td>\n",
              "      <td>2020-12-03</td>\n",
              "      <td>Everyone</td>\n",
              "      <td>False</td>\n",
              "      <td>False</td>\n",
              "      <td>0</td>\n",
              "      <td>3973</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1073469</th>\n",
              "      <td>TM Community</td>\n",
              "      <td>org.tm.app</td>\n",
              "      <td>Health &amp; Fitness</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0</td>\n",
              "      <td>1549</td>\n",
              "      <td>True</td>\n",
              "      <td>71.00</td>\n",
              "      <td>4.4</td>\n",
              "      <td>Maharishi Foundation International</td>\n",
              "      <td>2020-12-03</td>\n",
              "      <td>2020-11-26</td>\n",
              "      <td>Everyone</td>\n",
              "      <td>False</td>\n",
              "      <td>False</td>\n",
              "      <td>0</td>\n",
              "      <td>3973</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>1110965 rows × 17 columns</p>\n",
              "</div>"
            ],
            "text/plain": [
              "                    App Name  ... Released Numerics\n",
              "360969            Mastermind  ...                 0\n",
              "1102336             TallyBee  ...                 1\n",
              "635853         Arabic Quotes  ...                 2\n",
              "212674             AndroMaze  ...                 3\n",
              "635953           Canada Info  ...                 4\n",
              "...                      ...  ...               ...\n",
              "1080791  PDF Reader Pro 2020  ...              3972\n",
              "1077117          Sm@rtClient  ...              3973\n",
              "1102332     Super bee puzzle  ...              3973\n",
              "1102190  Eyes on Federal Way  ...              3973\n",
              "1073469         TM Community  ...              3973\n",
              "\n",
              "[1110965 rows x 17 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 46
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "qbmbOxb4CE0Q"
      },
      "source": [
        "slope, intercept, r, p, stderr = linregress(x, y)\n",
        "line = f'Regression line: y={intercept:.2f}+{slope:.2f}x, r={r:.2f}'\n",
        "line"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ndqMJIN7CJB1",
        "outputId": "9cd0f1fd-875b-4c4b-db61-94ec1216d1dc",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        }
      },
      "source": [
        "plt.style.use('default')\n",
        "fig, ax = plt.subplots()\n",
        "ax.plot(x, y, linewidth=0, marker='8', label='Data points')\n",
        "ax.plot(x, intercept + slope * x, label=line)\n",
        "ax.set_xlabel('Released Date')\n",
        "ax.set_ylabel('Size')\n",
        "ax.set_title('Correlation between Released Date & Size')\n",
        "ax.legend(facecolor='white')\n",
        "plt.show()"
      ],
      "execution_count": 43,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "7ZY8t9Mnc2tU"
      },
      "source": [
        "# Identify whether there is a relationship between ratings and period of existence"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PIsVmvVu9Ni3"
      },
      "source": [
        "df['Days of Existence'] = pd.to_datetime(str(date.today()), format='%Y-%m-%d') - df['Released']\n",
        "\n",
        "if df['Days of Existence'].dtypes == 'timedelta64[ns]' :\n",
        "   df['Days of Existence']=(df['Days of Existence'] / np.timedelta64(1, 'D')).astype(int)\n",
        "else :\n",
        "   df['Days of Existence']=df['Days of Existence']\n",
        "\n",
        "df"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "dSBqDYFI_aST"
      },
      "source": [
        "x=df['Days of Existence']\n",
        "y=df['Rating']\n",
        "\n",
        "np.corrcoef(x, y)\n",
        "linregress(x, y)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "zPH6ytDmAj1-",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        },
        "outputId": "9f0651f3-583a-49ce-fcac-45498d365623"
      },
      "source": [
        "slope, intercept, r, p, stderr = linregress(x, y)\n",
        "line = f'Regression line: y={intercept:.2f}+{slope:.2f}x, r={r:.2f}'\n",
        "line"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "string"
            },
            "text/plain": [
              "'Regression line: y=1.64+0.00x, r=0.30'"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 142
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3R4tNgLkAoKZ",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "outputId": "63e6a0fd-b114-4e0c-e4bb-554d8e0767d0"
      },
      "source": [
        "plt.style.use('default')\n",
        "fig, ax = plt.subplots()\n",
        "ax.plot(x, y, linewidth=0, marker='8', label='Data points')\n",
        "ax.plot(x, intercept + slope * x, label=line)\n",
        "ax.set_xlabel('Days of Existence')\n",
        "ax.set_ylabel('Rating')\n",
        "ax.set_title('Correlation between Days of Existence & Rating')\n",
        "ax.legend(facecolor='white')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "vmJjZWH2c6lw"
      },
      "source": [
        "# Predict probability of Installation in each Category"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "_gL9jWwxdHoB"
      },
      "source": [
        "# Predict probability of Installation for Paid Apps\n",
        "\n",
        "\n",
        "\n"
      ]
    }
  ]
}