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ML-For-Beginners/Clustering/1-Visualize/solution/notebook.ipynb

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"cells": [
{
"source": [
"# Nigerian Music scraped from Spotify - an analysis"
],
"cell_type": "markdown",
"metadata": {}
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
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"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: 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: 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: 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: 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: 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: 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": 8,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" name album \\\n",
"0 Sparky Mandy & The Jungle \n",
"1 shuga rush EVERYTHING YOU HEARD IS TRUE \n",
"2 LITT! LITT! \n",
"3 Confident / Feeling Cool Enjoy Your Life \n",
"4 wanted you rare. \n",
"\n",
" artist artist_top_genre release_date length popularity \\\n",
"0 Cruel Santino alternative r&b 2019 144000 48 \n",
"1 Odunsi (The Engine) afropop 2020 89488 30 \n",
"2 AYLØ indie r&b 2018 207758 40 \n",
"3 Lady Donli nigerian pop 2019 175135 14 \n",
"4 Odunsi (The Engine) afropop 2018 152049 25 \n",
"\n",
" danceability acousticness energy instrumentalness liveness loudness \\\n",
"0 0.666 0.8510 0.420 0.534000 0.1100 -6.699 \n",
"1 0.710 0.0822 0.683 0.000169 0.1010 -5.640 \n",
"2 0.836 0.2720 0.564 0.000537 0.1100 -7.127 \n",
"3 0.894 0.7980 0.611 0.000187 0.0964 -4.961 \n",
"4 0.702 0.1160 0.833 0.910000 0.3480 -6.044 \n",
"\n",
" speechiness tempo time_signature \n",
"0 0.0829 133.015 5 \n",
"1 0.3600 129.993 3 \n",
"2 0.0424 130.005 4 \n",
"3 0.1130 111.087 4 \n",
"4 0.0447 105.115 4 "
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},
"metadata": {},
"execution_count": 8
}
],
"source": [
"\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"\n",
"df = pd.read_csv(\"../../data/nigerian-songs.csv\")\n",
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"<class 'pandas.core.frame.DataFrame'>\nRangeIndex: 530 entries, 0 to 529\nData columns (total 16 columns):\n # Column Non-Null Count Dtype \n--- ------ -------------- ----- \n 0 name 530 non-null object \n 1 album 530 non-null object \n 2 artist 530 non-null object \n 3 artist_top_genre 530 non-null object \n 4 release_date 530 non-null int64 \n 5 length 530 non-null int64 \n 6 popularity 530 non-null int64 \n 7 danceability 530 non-null float64\n 8 acousticness 530 non-null float64\n 9 energy 530 non-null float64\n 10 instrumentalness 530 non-null float64\n 11 liveness 530 non-null float64\n 12 loudness 530 non-null float64\n 13 speechiness 530 non-null float64\n 14 tempo 530 non-null float64\n 15 time_signature 530 non-null int64 \ndtypes: float64(8), int64(4), object(4)\nmemory usage: 66.4+ KB\n"
]
}
],
"source": [
"df.info()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"name 0\n",
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"metadata": {},
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"source": [
"df.isnull().sum()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" release_date length popularity danceability acousticness \\\n",
"count 530.000000 530.000000 530.000000 530.000000 530.000000 \n",
"mean 2015.390566 222298.169811 17.507547 0.741619 0.265412 \n",
"std 3.131688 39696.822259 18.992212 0.117522 0.208342 \n",
"min 1998.000000 89488.000000 0.000000 0.255000 0.000665 \n",
"25% 2014.000000 199305.000000 0.000000 0.681000 0.089525 \n",
"50% 2016.000000 218509.000000 13.000000 0.761000 0.220500 \n",
"75% 2017.000000 242098.500000 31.000000 0.829500 0.403000 \n",
"max 2020.000000 511738.000000 73.000000 0.966000 0.954000 \n",
"\n",
" energy instrumentalness liveness loudness speechiness \\\n",
"count 530.000000 530.000000 530.000000 530.000000 530.000000 \n",
"mean 0.760623 0.016305 0.147308 -4.953011 0.130748 \n",
"std 0.148533 0.090321 0.123588 2.464186 0.092939 \n",
"min 0.111000 0.000000 0.028300 -19.362000 0.027800 \n",
"25% 0.669000 0.000000 0.075650 -6.298750 0.059100 \n",
"50% 0.784500 0.000004 0.103500 -4.558500 0.097950 \n",
"75% 0.875750 0.000234 0.164000 -3.331000 0.177000 \n",
"max 0.995000 0.910000 0.811000 0.582000 0.514000 \n",
"\n",
" tempo time_signature \n",
"count 530.000000 530.000000 \n",
"mean 116.487864 3.986792 \n",
"std 23.518601 0.333701 \n",
"min 61.695000 3.000000 \n",
"25% 102.961250 4.000000 \n",
"50% 112.714500 4.000000 \n",
"75% 125.039250 4.000000 \n",
"max 206.007000 5.000000 "
],
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},
"metadata": {},
"execution_count": 11
}
],
"source": [
"df.describe()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Top genres')"
]
},
"metadata": {},
"execution_count": 13
},
{
"output_type": "display_data",
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\n"
},
"metadata": {
"needs_background": "light"
}
}
],
"source": [
"import seaborn as sns\n",
"\n",
"top = df['artist_top_genre'].value_counts()\n",
"plt.figure(figsize=(10,7))\n",
"sns.barplot(x=top[:5].index,y=top[:5].values)\n",
"plt.xticks(rotation=45)\n",
"plt.title('Top genres',color = 'blue')"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 864x648 with 2 Axes>",
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\n"
},
"metadata": {
"needs_background": "light"
}
}
],
"source": [
"corrmat = df.corr()\n",
"f, ax = plt.subplots(figsize=(12, 9))\n",
"sns.heatmap(corrmat, vmax=.8, square=True);"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
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\n"
},
"metadata": {}
}
],
"source": [
"sns.set_theme(style=\"ticks\")\n",
"\n",
"data = df[df['artist_top_genre'].str.contains('afro dancehall', case=True, regex=True)]\n",
"\n",
"# Show the joint distribution using kernel density estimation\n",
"g = sns.jointplot(\n",
" data=data,\n",
" x=\"popularity\", y=\"danceability\", hue=\"artist_top_genre\",\n",
" kind=\"kde\",\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f8952330e80>"
]
},
"metadata": {},
"execution_count": 27
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
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},
"metadata": {
"needs_background": "light"
}
}
],
"source": [
"df.plot(kind=\"scatter\", x=\"danceability\", y=\"acousticness\")"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/seaborn/axisgrid.py:316: UserWarning: The `size` parameter has been renamed to `height`; please update your code.\n warnings.warn(msg, UserWarning)\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x7f89608b7be0>"
]
},
"metadata": {},
"execution_count": 8
},
{
"output_type": "display_data",
"data": {
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},
"metadata": {
"needs_background": "light"
}
}
],
"source": [
"import seaborn as sns\n",
"\n",
"sns.FacetGrid(df, hue=\"artist_top_genre\", size=5) \\\n",
" .map(plt.scatter, \"danceability\", \"acousticness\") \\\n",
" .add_legend()"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/seaborn/categorical.py:1296: UserWarning: 14.3% of the points cannot be placed; you may want to decrease the size of the markers or use stripplot.\n warnings.warn(msg, UserWarning)\n/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/seaborn/categorical.py:1296: UserWarning: 53.3% of the points cannot be placed; you may want to decrease the size of the markers or use stripplot.\n warnings.warn(msg, UserWarning)\n/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/seaborn/categorical.py:1296: UserWarning: 16.7% of the points cannot be placed; you may want to decrease the size of the markers or use stripplot.\n warnings.warn(msg, UserWarning)\n/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/seaborn/categorical.py:1296: UserWarning: 79.9% of the points cannot be placed; you may want to decrease the size of the markers or use stripplot.\n warnings.warn(msg, UserWarning)\n/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/seaborn/categorical.py:1296: UserWarning: 41.5% of the points cannot be placed; you may want to decrease the size of the markers or use stripplot.\n warnings.warn(msg, UserWarning)\n/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/seaborn/categorical.py:1296: UserWarning: 25.0% of the points cannot be placed; you may want to decrease the size of the markers or use stripplot.\n warnings.warn(msg, UserWarning)\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f8932b653c8>"
]
},
"metadata": {},
"execution_count": 36
},
{
"output_type": "display_data",
"data": {
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\n"
},
"metadata": {
"needs_background": "light"
}
}
],
"source": [
"sns.swarmplot(x=df['danceability'],\n",
" y=df['artist_top_genre'])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
]
}