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 "cells": [
  {
   "source": [
    "# Nigerian Music scraped from Spotify - an analysis"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "Requirement already satisfied: seaborn in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (0.11.1)\n",
      "Requirement already satisfied: numpy>=1.15 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.19.2)\n",
      "Requirement already satisfied: pandas>=0.23 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.1.2)\n",
      "Requirement already satisfied: matplotlib>=2.2 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (3.1.0)\n",
      "Requirement already satisfied: scipy>=1.0 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.4.1)\n",
      "Requirement already satisfied: python-dateutil>=2.7.3 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from pandas>=0.23->seaborn) (2.8.0)\n",
      "Requirement already satisfied: pytz>=2017.2 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from pandas>=0.23->seaborn) (2019.1)\n",
      "Requirement already satisfied: cycler>=0.10 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (0.10.0)\n",
      "Requirement already satisfied: kiwisolver>=1.0.1 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (1.1.0)\n",
      "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (2.4.0)\n",
      "Requirement already satisfied: six>=1.5 in /Users/jenlooper/Library/Python/3.7/lib/python/site-packages (from python-dateutil>=2.7.3->pandas>=0.23->seaborn) (1.12.0)\n",
      "Requirement already satisfied: setuptools in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from kiwisolver>=1.0.1->matplotlib>=2.2->seaborn) (45.1.0)\n",
      "\u001b[33mWARNING: You are using pip version 20.2.3; however, version 21.1.1 is available.\n",
      "You should consider upgrading via the '/Library/Frameworks/Python.framework/Versions/3.7/bin/python3.7 -m pip install --upgrade pip' command.\u001b[0m\n",
      "Note: you may need to restart the kernel to use updated packages.\n"
     ]
    }
   ],
   "source": [
    "pip install seaborn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "   popularity  loudness  danceability\n",
       "0          48    -6.699         0.666\n",
       "1          30    -5.640         0.710\n",
       "2          40    -7.127         0.836\n",
       "3          14    -4.961         0.894\n",
       "4          25    -6.044         0.702"
      ],
      "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>popularity</th>\n      <th>loudness</th>\n      <th>danceability</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>48</td>\n      <td>-6.699</td>\n      <td>0.666</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>30</td>\n      <td>-5.640</td>\n      <td>0.710</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>40</td>\n      <td>-7.127</td>\n      <td>0.836</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>14</td>\n      <td>-4.961</td>\n      <td>0.894</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>25</td>\n      <td>-6.044</td>\n      <td>0.702</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {},
     "execution_count": 10
    }
   ],
   "source": [
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "from sklearn.cluster import KMeans\n",
    "\n",
    "plt.style.use(\"seaborn-whitegrid\")\n",
    "plt.rc(\"figure\", autolayout=True)\n",
    "plt.rc(\n",
    "    \"axes\",\n",
    "    labelweight=\"bold\",\n",
    "    labelsize=\"large\",\n",
    "    titleweight=\"bold\",\n",
    "    titlesize=14,\n",
    "    titlepad=10,\n",
    ")\n",
    "\n",
    "df = pd.read_csv(\"../../data/nigerian-songs.csv\")\n",
    "X = df.loc[:, [\"popularity\", \"loudness\", \"danceability\"]]\n",
    "X.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "   popularity  loudness  danceability Cluster\n",
       "0          48    -6.699         0.666       5\n",
       "1          30    -5.640         0.710       0\n",
       "2          40    -7.127         0.836       0\n",
       "3          14    -4.961         0.894       4\n",
       "4          25    -6.044         0.702       2"
      ],
      "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>popularity</th>\n      <th>loudness</th>\n      <th>danceability</th>\n      <th>Cluster</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>48</td>\n      <td>-6.699</td>\n      <td>0.666</td>\n      <td>5</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>30</td>\n      <td>-5.640</td>\n      <td>0.710</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>40</td>\n      <td>-7.127</td>\n      <td>0.836</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>14</td>\n      <td>-4.961</td>\n      <td>0.894</td>\n      <td>4</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>25</td>\n      <td>-6.044</td>\n      <td>0.702</td>\n      <td>2</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {},
     "execution_count": 11
    }
   ],
   "source": [
    "kmeans = KMeans(n_clusters=6)\n",
    "X[\"Cluster\"] = kmeans.fit_predict(X)\n",
    "X[\"Cluster\"] = X[\"Cluster\"].astype(\"category\")\n",
    "\n",
    "X.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
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\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "sns.relplot(\n",
    "    x=\"popularity\", y=\"danceability\", hue=\"Cluster\", data=X, height=6,\n",
    ");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ]
}