mirror of
https://github.com/datasciencescoop/Data-Visualization.git
synced 2021-05-12 19:42:19 +03:00
301 lines
145 KiB
Plaintext
301 lines
145 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"<!DOCTYPE html>\n",
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"<html>\n",
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"<body>\n",
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"<div align=\"center\">\n",
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"<h3>Prepared by Asif Bhat</h3>\n",
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" \n",
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"<h1>Data Visualization With Seaborn</h1>\n",
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"\n",
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"<h3>Follow Me on - <a href=\"https://www.linkedin.com/in/asif-bhat/\">LinkedIn</a> <a href=\"https://mobile.twitter.com/_asifbhat_\">Twitter</a> <a href=\"https://www.instagram.com/datasciencescoop/?hl=en\">Instagram</a> <a href=\"https://www.facebook.com/datasciencescoop/\">Facebook</a></h3>\n",
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"\n",
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"</div>\n",
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"</body>\n",
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"</html>"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 674,
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"metadata": {},
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"outputs": [],
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"source": [
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"import matplotlib.pyplot as plt\n",
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"import numpy as np\n",
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"import pandas as pd\n",
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"import seaborn as sns\n",
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"import matplotlib as mpl"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# KDE PLOT"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"#### KDE Plot is used to estimate the probability density function of a continuous random variable."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 281,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 1008x1008 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"sns.set_style(\"darkgrid\")\n",
|
|
"fig1 , axes = plt.subplots(nrows=2,ncols=2 , figsize = (14,14))\n",
|
|
"\n",
|
|
"x = np.random.normal(1,10,1000)\n",
|
|
"\n",
|
|
"#Simple KDE Plot\n",
|
|
"axes[0,0].set_title(\"Simple KDE Plot\")\n",
|
|
"sns.kdeplot(x,ax=axes[0,0])\n",
|
|
"\n",
|
|
"\n",
|
|
"# Shade under the density curve using the \"shade\" parameter\n",
|
|
"axes[0,1].set_title(\"KDE Plot (Shaded Area Under the Curve)\")\n",
|
|
"sns.kdeplot(x,shade=True,ax=axes[0,1])\n",
|
|
"\n",
|
|
"\n",
|
|
"# Shade under the density curve using the \"shade\" parameter and use a different color.\n",
|
|
"axes[1,0].set_title(\"KDE Plot (Different Color)\")\n",
|
|
"sns.kdeplot(x,ax=axes[1,0],color = 'r',shade=True,cut=0)\n",
|
|
"\n",
|
|
"#Plotting the density on the vertical axis\n",
|
|
"axes[1,1].set_title(\"KDE Plot (Density on Vertical Axis)\")\n",
|
|
"sns.kdeplot(x,vertical=True)\n",
|
|
"\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 282,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.axes._subplots.AxesSubplot at 0x1edd24ac7f0>"
|
|
]
|
|
},
|
|
"execution_count": 282,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x576 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.figure(figsize=(6,8))\n",
|
|
"x = np.linspace(0, 10, 100) \n",
|
|
"y = np.sin(x)\n",
|
|
"sns.kdeplot(x,y,shade=True,cmap=\"Reds\", shade_lowest=False)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 283,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"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",
|
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"\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>age</th>\n",
|
|
" <th>sex</th>\n",
|
|
" <th>bmi</th>\n",
|
|
" <th>children</th>\n",
|
|
" <th>smoker</th>\n",
|
|
" <th>region</th>\n",
|
|
" <th>charges</th>\n",
|
|
" </tr>\n",
|
|
" </thead>\n",
|
|
" <tbody>\n",
|
|
" <tr>\n",
|
|
" <th>0</th>\n",
|
|
" <td>19</td>\n",
|
|
" <td>female</td>\n",
|
|
" <td>27.900</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>yes</td>\n",
|
|
" <td>southwest</td>\n",
|
|
" <td>16884.92400</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>1</th>\n",
|
|
" <td>18</td>\n",
|
|
" <td>male</td>\n",
|
|
" <td>33.770</td>\n",
|
|
" <td>1</td>\n",
|
|
" <td>no</td>\n",
|
|
" <td>southeast</td>\n",
|
|
" <td>1725.55230</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2</th>\n",
|
|
" <td>28</td>\n",
|
|
" <td>male</td>\n",
|
|
" <td>33.000</td>\n",
|
|
" <td>3</td>\n",
|
|
" <td>no</td>\n",
|
|
" <td>southeast</td>\n",
|
|
" <td>4449.46200</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>3</th>\n",
|
|
" <td>33</td>\n",
|
|
" <td>male</td>\n",
|
|
" <td>22.705</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>no</td>\n",
|
|
" <td>northwest</td>\n",
|
|
" <td>21984.47061</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>4</th>\n",
|
|
" <td>32</td>\n",
|
|
" <td>male</td>\n",
|
|
" <td>28.880</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>no</td>\n",
|
|
" <td>northwest</td>\n",
|
|
" <td>3866.85520</td>\n",
|
|
" </tr>\n",
|
|
" </tbody>\n",
|
|
"</table>\n",
|
|
"</div>"
|
|
],
|
|
"text/plain": [
|
|
" age sex bmi children smoker region charges\n",
|
|
"0 19 female 27.900 0 yes southwest 16884.92400\n",
|
|
"1 18 male 33.770 1 no southeast 1725.55230\n",
|
|
"2 28 male 33.000 3 no southeast 4449.46200\n",
|
|
"3 33 male 22.705 0 no northwest 21984.47061\n",
|
|
"4 32 male 28.880 0 no northwest 3866.85520"
|
|
]
|
|
},
|
|
"execution_count": 283,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"insurance.head()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 284,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x576 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.figure(figsize=(6,8))\n",
|
|
"sns.kdeplot(insurance.bmi,insurance.charges,shade=True,cmap=\"Reds\", shade_lowest=False)\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 285,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 576x432 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"iris = sns.load_dataset(\"iris\")\n",
|
|
"plt.figure(figsize=(8,6))\n",
|
|
"sns.kdeplot(iris.sepal_width, iris.sepal_length,cmap=\"Reds\", shade=True, shade_lowest=False)\n",
|
|
"plt.show()"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.7.0"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|