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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"___\n",
"\n",
"<a href='http://www.pieriandata.com'><img src='../Pierian_Data_Logo.png'/></a>\n",
"___\n",
"<center><em>Copyright by Pierian Data Inc.</em></center>\n",
"<center><em>For more information, visit us at <a href='http://www.pieriandata.com'>www.pieriandata.com</a></em></center>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Distributions\n",
"\n",
"There are many ways to display the distributions of a feature. In this notebook we explore 3 related plots for displaying a distribution, the rugplot , the distplot (histogram), and kdeplot.\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"-----\n",
"\n",
"### IMPORTANT NOTE!\n",
"\n",
"**DO NOT WORRY IF YOUR PLOTS STYLING APPEARS SLIGHTLY DIFFERENT, WE WILL SHOW YOU HOW TO EDIT THE COLOR AND STYLE OF THE PLOTS LATER ON!**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"----\n",
"## Data\n",
"\n",
"We'll use some generated data from: http://roycekimmons.com/tools/generated_data\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [],
"source": [
"df = pd.read_csv(\"dm_office_sales.csv\")"
]
},
{
"cell_type": "code",
"execution_count": 37,
"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",
"\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>division</th>\n",
" <th>level of education</th>\n",
" <th>training level</th>\n",
" <th>work experience</th>\n",
" <th>salary</th>\n",
" <th>sales</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>printers</td>\n",
" <td>some college</td>\n",
" <td>2</td>\n",
" <td>6</td>\n",
" <td>91684</td>\n",
" <td>372302</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>printers</td>\n",
" <td>associate's degree</td>\n",
" <td>2</td>\n",
" <td>10</td>\n",
" <td>119679</td>\n",
" <td>495660</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>peripherals</td>\n",
" <td>high school</td>\n",
" <td>0</td>\n",
" <td>9</td>\n",
" <td>82045</td>\n",
" <td>320453</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>office supplies</td>\n",
" <td>associate's degree</td>\n",
" <td>2</td>\n",
" <td>5</td>\n",
" <td>92949</td>\n",
" <td>377148</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>office supplies</td>\n",
" <td>high school</td>\n",
" <td>1</td>\n",
" <td>5</td>\n",
" <td>71280</td>\n",
" <td>312802</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" division level of education training level work experience \\\n",
"0 printers some college 2 6 \n",
"1 printers associate's degree 2 10 \n",
"2 peripherals high school 0 9 \n",
"3 office supplies associate's degree 2 5 \n",
"4 office supplies high school 1 5 \n",
"\n",
" salary sales \n",
"0 91684 372302 \n",
"1 119679 495660 \n",
"2 82045 320453 \n",
"3 92949 377148 \n",
"4 71280 312802 "
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<class 'pandas.core.frame.DataFrame'>\n",
"RangeIndex: 1000 entries, 0 to 999\n",
"Data columns (total 6 columns):\n",
" # Column Non-Null Count Dtype \n",
"--- ------ -------------- ----- \n",
" 0 division 1000 non-null object\n",
" 1 level of education 1000 non-null object\n",
" 2 training level 1000 non-null int64 \n",
" 3 work experience 1000 non-null int64 \n",
" 4 salary 1000 non-null int64 \n",
" 5 sales 1000 non-null int64 \n",
"dtypes: int64(4), object(2)\n",
"memory usage: 47.0+ KB\n"
]
}
],
"source": [
"df.info()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"-----"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Rugplot\n",
"\n",
"Very simple plot that puts down one mark per data point. This plot needs the single array passed in directly. We won't use it too much since its not very clarifying for large data sets."
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [],
"source": [
"import seaborn as sns"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:xlabel='salary'>"
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The y axis doesn't really represent anything\n",
"# X axis is just a stick per data point\n",
"sns.rugplot(x='salary',data=df)"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:xlabel='salary'>"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.rugplot(x='salary',data=df,height=0.5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## displot and histplot() \n",
"The rugplot itself is not very informative for larger data sets distribution around the mean since so many ticks makes it hard to distinguish one tick from another. Instead we should count the number of tick marks per some segment of the x axis, then construct a histogram from this.\n",
"\n",
"The displot is a plot type that can show you the distribution of a single feature. It is a histogram with the option of adding a \"KDE\" plot (Kernel Density Estimation) on top of the histogram. Let's explore its use cases and syntax."
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x21e6bf8a7c8>"
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 360x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.displot(data=df,x='salary',kde=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Focusing on the Histogram"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x21e6c1f3108>"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 360x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.displot(data=df,x='salary')"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:xlabel='salary', ylabel='Count'>"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.histplot(data=df,x='salary')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Number of Bins"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:xlabel='salary', ylabel='Count'>"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.histplot(data=df,x='salary',bins=10)"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:xlabel='salary', ylabel='Count'>"
]
},
"execution_count": 53,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.histplot(data=df,x='salary',bins=100)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Adding in a grid and styles\n",
"\n",
"You can reset to a different default style: one of {darkgrid, whitegrid, dark, white, ticks}.\n",
"\n",
"In a later notebook and lecture we will cover custom styling in a lot more detail."
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:xlabel='salary', ylabel='Count'>"
]
},
"execution_count": 54,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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bGFatWgWLxYJ+/fo517300kuorq7GP/7xD8WDIyIi9d2wMOzduxcrVqxAdHS0c11sbCyWLVuGzz//XPHgiIhIfTe8laTT6dCx4/VfqyMjI50T8FDoaGlyHl8KhUbq1rSHHCn03bAwhIWFwWKxXNeeYLFYYLPZFA2M1OXaGKpU42tTY2p1rRVxMZ2DspG6NaHQEE90w1tJqampyMvLQ11dnXNdXV0d8vLyYDQaFQ+O1NXU0FlV06DoMS4pfAx/U+N1JFLSDQvDpEmTEBUVhcGDB2P06NHIzMzE4MGD0aVLF0ybNk2tGImISEWt3kp66aWXkJOTgx9//BFhYWHo06cPYmNj1YqPiIhU5tEP3Hr06IEePXooHQsREQUAr6f2JCKi0MbCQEREMiwMREQko3hhsFgsSE1NRVlZGQBg7ty5MBqNGDlyJEaOHIndu3crHQIREXlB0bk5jx07hry8PJSUlDjXFRcXY+3atYiJiVHy0ERE1EaKfmPYsGEDFixY4CwCdXV1uHDhAubPn4+0tDSsWrUKDodDyRCIQp5Wq3H+I/IFRb8xLF68WPa3yWTCwIEDsXDhQnTq1Ak5OTnIz8/H6NGjPd5ndLTnw30bDFEebxsMlM5H0knQ6SRoJS0k6eaXAbT4GGD12TECYRlAq9tIOgl6fWSLr3fzx1o6Dy09v8kHBT/AXN0AfZdwPJ7a2yfXAt87gU3x/wsU3XszcXFxeOONN5x/T5gwAVu3bvWqMJhMFjgcrU9WYjBEobKypk1xBiKl89FqNbBZbbBabbDb7LDZbn4ZQIuPuVsfrMsAWt3GZrXBbLY4J9pxfb1dH3N3Hpo/3/W8VZhqUXml3u023uJ7J7B5m09YmMarD9SAyr2STp48iV27djn/FkL88gmSiIgChaqFQQiBJUuWoKqqClarFevXr0diYqKaIRARUStU/bh+zz33YOrUqcjKyoLNZoPRaERqaqqaIRARUStUKQx79uxxLmdnZyM7O1uNwxKFDNcJgFxxMiBSAm/wEwWB5hMAVdU2cjIgUgyHxCAKEq4TAHEyIFISCwMREcmwMBARkQwLAxERybDxOYS5jp3j+mtYd+tJOc17FbE3EQUyFoYQpdVqsHn/WZir6qG/JQKj4ns6h1xoaT0py7VXEQD2JqKAxsIQwpp6rni6npTl+rrru3T0czRE7rGNgYiIZFgYiIhIhreS2jHXBlE2hvoPzwMFGhaGdqz5MAtsDPUPngcKNLyV1M5xaIXAwPNAgYSFgYiIZFgYiIhIhoWBiIhk2PjcDrDXCxF5g4WhHWCvFyLyBm8ltRPs9UJEnlK0MFgsFqSmpqKsrAwAUFRUhLS0NBiNRqxcuVLJQxMRURspVhiOHTuGrKwslJSUAACuXr2KefPm4Z///Cd27NiB4uJi7Nu3T6nDExFRGylWGDZs2IAFCxYgJiYGAPD999/jjjvuQFxcHCRJQlpaGnbu3KnU4YnoJmi1Guc/an8Ua3xevHix7O+KigoYDAbn3zExMSgvL/d6v9HRkR5vazBEeb3/QOZtPpJOgk4nQStpIUnqLwNo8THA6reYlMrTF6/LzS5LOgl6vefvjxvZXlQKc3UD9F3C8Xhqb5/s05/a+/8F3lKtV5IQ108Go9F4/2nEZLLA4Wh9YhmDIQqVlTVe7z9QeZuPVquBzWqD1WqD3WaHzab+MoAWH3O3PliXAfjkdbnZZZvVBrPZctMTLxkMUagw1aLySr3P9ulP7f3/grAwjVcfqAEVeyXFxsbi0qVLzr8rKiqct5mIiChwqFYY+vbti7Nnz6K0tBR2ux0FBQWIj49X6/BEROQh1W4lhYeHY+nSpZgxYwYaGhqQkJCApKQktQ5PREQeUrww7Nmzx7k8aNAgbN++XelDtguuvUWC+f4v+Y7r0CfN8Rohb3BIjCCk1Wqwef9ZmKvqob8lAqPie/KNT9cNfVJV2wjzFV4j5D0WhiDVNMQFkaum60LfpSPMNVd5jVCbcKwkIiKSYWEgIiIZFgYiIpJhG0OAa22sGnc9UTghD7njrkcbx0WiJiwMAcy191FMdGeMePCO63qWuOuJwgl5qCXuerS5rr/7/7ry2mnnWBgCXFMvE0nn/lS11BNF36WjilFSMHHXo61pvUHf2Q9RUSBhGwMREcmwMBARkQxvJRGFONcOCuyUQJ5gYSAKcc07KLBhmVrDW0lE7UBTw3JVTYO/Q6EgwMJAREQyLAxERCTDwkBERDJsfA4S7FlCwY6TSwUPFoYgcWtkOHuWUNDi5FLBhYUhiLgOfUEUbDi5VPDwS2GYOHEiTCYTJOna4RcuXIi+ffv6IxQiImpG9cIghMCZM2ewd+9eZ2EgIqLAoXqvpDNnzkCj0WDKlCkYMWIE1q5dq3YIAU+r1UCr1bCRmYIer+XgpPpH9urqagwaNAh/+9vfcPXqVUycOBE9e/bE4MGDPXp+dHSkx8cyGKLaGqZffVDwA8zVDfh1tyhIOgm6X4bclqRry1pJGxTLAFp8DLAGRHy+zNMXr4vay5JOgl7/v/dTS9da8218cS3f7D7bIlj/L3BH6XxULwz9+vVDv379AACdOnVCZmYm9u3b53FhMJkscDha781gMEShsrLmpmL1B61WgwpTLSqv1KNLhASbzQar1QYAzmW7zR4UywBafMzd+mBd9vbcBEr+NqsNZrPFOVGPzXp9Pq7b+Opavpl9tkWw/l/gjrf5hIVpvPpADfjhVtI333yDr7/+2vm3EIJtDUREAUT1wlBTU4Nly5ahoaEBFosFW7ZsQWJiotphEBGRG6p/VB8yZAiOHTuG9PR0OBwOjBs3znlriYiI/M8v93BmzZqFWbNm+ePQinL9yb8r/sKTgpXrUCwAr+X2gjf3fcT1J/89u9+CqtpGmK/w5/8U3Fwn+eG13H6wMPiQ65AV5pqr/Pk/hQQOZdH+cNhtIiKSYWEgIiIZFgYiIpJhG4MfceIS8idvJ3+6UQ8lX17LfF/4HwuDn3DiEvI31x5Hnkz+5K6Hki+vZb4vAgMLgx+xtwf5m7eTP7m7Zn15LfN94X9sYyAiIhkWBiIikuGtJBdqNHo1HcO1Ec/bRkCi9s7de5UN177BwvALNRq9mg+b0dTY520jIFF75u69yoZr32FhcKFGo5e7xj5vGwGJ2jM1GsHbM7YxEBGRDAsDERHJsDAQEZFMu2lj8Ka3QvOf/nvC3fbscUShyJfXtet780b7aqlHX1uO4e79H2gTbTWPR8042kVh8La3QvNeQk2T7rhbBuC2NxF7HFEo8tV17freBNy/j9z16PNUa+//QJtoq/nronYc7aIwAN73Vmhp0h13ywBu2JuIPY4oFPnqunZ9byr1PvLk/R9oE235s4eVX9oYPvnkEyQnJyMxMRHr1q3zRwhEROSG6t8YysvLsXLlSmzevBkdOnTA2LFj8cADD+Duu+9WOxQiImqB6oWhqKgIAwcOxK233goAGDZsGHbu3Inp06d79HxvGp5cG8f+r1sXdOncAbd26QhJCkNYmLhu26Ztuhk6I7JzB3Tp5NkyAK+f4/XybZ0QEa5Vbv8KLLt7XfT1NnSLjvB7fP46N6pcL3661lzfX+7eU+62af663My+mr/P2/r+d7e90pq/Lrd26YiwMA2E+N/j3uzLWxohhKoZv/3226irq8Ps2bMBABs3bsT333+Pl156Sc0wiIjIDdXbGFqqQxoNu+oQEQUK1QtDbGwsLl265Py7oqICMTExaodBRERuqF4YHnzwQXz99dcwm82or6/HZ599hvj4eLXDICIiN1RvfI6NjcXs2bMxceJEWK1WZGZm4ve//73aYRARkRuqNz4TEVFg4yB6REQkw8JAREQyLAxERCTDwkBERDJBUxheeeUV5ObmAgCOHz+OjIwMDBs2DC+88AJsNhsA4MKFC8jOzkZSUhL+9Kc/oba2FgBQXV2NqVOnYvjw4cjOzkZlZSUAoLGxEc899xyGDx+ORx99FKdPn1Y8jz179mDUqFFISkrCokWLAFwbJiQtLQ1GoxErV650buurPJW0bds2pKSkICUlBa+88opP41br/FgsFqSmpqKsrAyA8udD6bya57N+/XqkpqYiLS0Nc+fORWNjY1Dn02TdunWYMGGC829fxS2EwCuvvIKkpCQkJyfj6NGjiubz7bffYvTo0UhJScGzzz4bGOdHBIGioiLxwAMPiDlz5gghhEhJSRHffvutEEKIuXPninXr1gkhhJg6daooKCgQQgjx+uuvi2XLlgkhhHjxxRfF22+/LYQQYsuWLeKZZ54RQgjx3nvvifnz5wshhDh8+LDIzMxUNI9z586Jhx56SFy8eFE0NjaKrKwssXfvXpGQkCDOnTsnrFareOKJJ8TevXt9mqdS6urqxP333y9MJpOwWq0iMzNTFBYWBtX5+e6770Rqaqro3bu3OH/+vKivr1f8fCiZV/N8zpw5IxITE0VNTY1wOBzi+eefF2vWrAnafJqcOnVKPPzww2L8+PHOdb6K+9NPPxVTpkwRdrtdnDlzRvzxj38UVqtVkXxqamrE4MGDxfHjx4UQQsyePdt5Hvx5fgK+MFy+fFk89thjYs2aNWLOnDmirKxMDB061Pn4kSNHxIQJE0RjY6Po16+f8wReuHBBPPLII0IIIYYMGSIuXLgghBDCarWKfv36icbGRjF+/Hhx5MgR576GDh0qfvrpJ8VyWb16tViyZInz759//lkcOnRITJw40bluy5YtIjc316d5KqWmpkb0799flJWVifr6epGeni4OHToUVOdn3rx54siRI2LIkCHi/PnzqpwPJfNqnk9ZWZkoLCx0Pv7ee++JxYsXB20+QgjR0NAgsrKyRH5+vrMw+DLu3NxcsWXLFuf6iRMnisOHDyuSz86dO8W0adOcj5tMJlFRUeH38xPwE/X89a9/xezZs3Hx4kUA14bQMBgMzscNBgPKy8tx+fJlREZGQpIk2frmz5EkCZGRkTCbzS3u6+eff8btt9+uSC6lpaXQ6XR48sknUVlZiSFDhqBXr16yGGJiYlBeXu7TPGNjYxXJJzIyEs888wyGDx+Ojh07YsCAAdDpdEF1fhYvXiz7u/kxlTgfSubVPJ/u3buje/fuAACz2Yx169bh5ZdfDtp8AGDFihXIyMhAjx49nOt8GXfzYXqa1vtC83xKS0vRqVMnTJs2DefOncN9992H3Nxc/Pjjj349PwHdxrBx40Z069YNgwYNcq4Tbgbhc7fenbCwllN3t94X7HY7vv76a/z973/Hhg0b8J///Oe6+6bAjfPxVZ6+cOLECWzatAlffvklDhw4gLCwMBQWFrYYXzCcH8D76ytY8iovL8ekSZOQkZGBBx54IGjzKSwsxMWLF5GRkSFb78u4W9qXUvnY7XYcOHAAubm52Lp1K+rr6/HOO+/4/fwEdGHYsWMHCgsLMXLkSKxatQp79uzBxo0bZYPwVVZWIiYmBnq9HhaLBXa7XbYeuPapr+k5NpsNFosFt956K2JiYmQNtK7PUcJtt92GQYMGQa/Xo2PHjhg6dCgKCwtbHFSw+WCDN5OnUg4cOIBBgwYhOjoaHTp0wKhRo3Do0KGgPT+A+0EefXk+1M7r9OnTyMrKwqOPPopp06a1mGew5FNQUIBTp05h5MiRyMvLQ3FxMWbNmuXTuGNjY1XL57bbbkPfvn0RFxcHrVaL4cOH4/vvv/f7+QnowrBmzRoUFBRg27ZtmDlzJh555BG8/PLLCA8Pd/YU2Lp1K+Lj46HT6XDfffdhx44dsvUAkJCQgK1btwK4Vmzuu+8+6HQ6JCQkYNu2bQCAb775BuHh4YrdRgKAIUOG4MCBA6iurobdbsdXX32FpKQknD17FqWlpbDb7SgoKEB8fDy6d+/uszyVcs8996CoqAh1dXUQQmDPnj0YMGBA0J4fAOjbt6/i50PNvCwWC5588kk888wzeOKJJ5zrgzWfl19+GZ9++im2bduGRYsW4d5778Wrr77q07jj4+PxySefwG63o7S0FCUlJejTp48i+Tz00EP44YcfnLfKv/zyS/Tu3dv/56ftzSjq2rRpk7NX0vHjx0VGRoZISkoSzz77rGhoaBBCCFFWVibGjx8vhg8fLp544glx5coVIcS1BuycnByRnJwsxowZ42zEunr1qnj++edFcnKySE9PF8XFxYrnsXHjRpGSkiKMRqN48cUXhd1uF0VFRSItLU0YjUaxePFi4XA4fJqnkt5++20xbNgwkZqaKubOnSuuXr0alOfHtXFT6fOhRl5N+axZs0b07t1bjBgxwvnv1VdfDdp8XB08eFDWK8lXcTscDrF06VKRnJwskpOTxVdffaVoPl9++aUYMWKEGDZsmJg1a5aoq6sTQvj3/HAQPSIikgnoW0lERKQ+FgYiIpJhYSAiIhkWBiIikmFhICIiGRYGojbKzc3F6tWr/R0Gkc+xMBARkUzAD6JHpJba2lrMnTsXpaWlCAsLQ+/evbFw4UIsWbIEx44dQ21tLYQQWLRoEfr37y97bn5+PtavXw+r1YqqqipMmTIF48aNw+bNm5Gfn4/6+nrn4GdJSUkYM2YMAODNN9/E5cuXMW/ePH+kTNQiFgaiX+zevRu1tbXYtm0b7HY7FixYgH//+9+oqKjA+vXrERYWhnfeeQfvvvuurDDU1tZi48aNeOedd9C1a1d89913mDx5MsaNGwcA+O9//4s9e/YgMjISn3/+Od566y2MGTMGDocDGzduxHvvveevlIlaxMJA9Iv+/ftj5cqVmDBhAh588EFMmjQJvXr1gl6vx7/+9S+cP38ehw4dQufOnWXP69y5M9566y3s27cPJSUlOHHiBOrq6pyP//a3v0VkZCSAa+NlLVq0CCdOnEB5eTl69OiBO++8U9U8iVrDNgaiX8TFxWH37t2YOnUqLBYLJk+ejC1btiAnJwcAMHToUGRlZV33vJ9//hnp6en46aef0L9/f8yaNUv2eKdOnZzLWq0WY8eORX5+PjZt2oSxY8cqmhNRW/AbA9EvPv74Yxw9ehTLly/Hww8/DJPJhB9//BFDhgzBuHHj0NDQgHfffdc55HGT4uJi6PV6/PnPf4ZGo8Gbb74JANdt1+Sxxx5DRkYGtFotVqxYoXheRN7iNwaiX6Snp8NutyM5ORmjRo2CxWJBcnIyjhw5grS0NIwZMwZxcXEoKyuDw+FwPm/w4MGIjY1FUlIS0tPTcfHiRej1epSWlrZ4nOjoaNx7771ITU1VdFh0orbi6KpEKjObzcjMzMS6devQrVs3f4dDdB1+YyBS0YYNG5CcnIyJEyeyKFDA4jcGIiKS4TcGIiKSYWEgIiIZFgYiIpJhYSAiIhkWBiIikmFhICIimf8HbJiHM14Hx0QAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.set(style='darkgrid')\n",
"sns.histplot(data=df,x='salary',bins=100)"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:xlabel='salary', ylabel='Count'>"
]
},
"execution_count": 55,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.set(style='white')\n",
"sns.histplot(data=df,x='salary',bins=100)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Adding in keywords from matplotlib\n",
"\n",
"Seaborn plots can accept keyword arguments directly from the matplotlib code that seaborn uses. Keep in mind, not every seaborn plot can accept all matplotlib arguments, but the main styling parameters we've discussed are available. "
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x21e6eaaf508>"
]
},
"execution_count": 62,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 360x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.displot(data=df,x='salary',bins=20,kde=False,\n",
" color='red',edgecolor='black',lw=4,ls='--')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The Kernel Density Estimation Plot\n",
"\n",
"**Note: Review the video for full detailed explanation.**\n",
"\n",
"The KDE plot maps an estimate of a probability *density* function of a random variable. Kernel density estimation is a fundamental data smoothing problem where inferences about the population are made, based on a finite data sample.\n",
"\n",
"Let's build out a simple example:"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {},
"outputs": [],
"source": [
"np.random.seed(42)\n",
"\n",
"# randint should be uniform, each age has the same chance of being chosen\n",
"# note: in reality ages are almost never uniformally distributed, but this is just an example\n",
"sample_ages = np.random.randint(0,100,200)"
]
},
{
"cell_type": "code",
"execution_count": 87,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([51, 92, 14, 71, 60, 20, 82, 86, 74, 74, 87, 99, 23, 2, 21, 52, 1,\n",
" 87, 29, 37, 1, 63, 59, 20, 32, 75, 57, 21, 88, 48, 90, 58, 41, 91,\n",
" 59, 79, 14, 61, 61, 46, 61, 50, 54, 63, 2, 50, 6, 20, 72, 38, 17,\n",
" 3, 88, 59, 13, 8, 89, 52, 1, 83, 91, 59, 70, 43, 7, 46, 34, 77,\n",
" 80, 35, 49, 3, 1, 5, 53, 3, 53, 92, 62, 17, 89, 43, 33, 73, 61,\n",
" 99, 13, 94, 47, 14, 71, 77, 86, 61, 39, 84, 79, 81, 52, 23, 25, 88,\n",
" 59, 40, 28, 14, 44, 64, 88, 70, 8, 87, 0, 7, 87, 62, 10, 80, 7,\n",
" 34, 34, 32, 4, 40, 27, 6, 72, 71, 11, 33, 32, 47, 22, 61, 87, 36,\n",
" 98, 43, 85, 90, 34, 64, 98, 46, 77, 2, 0, 4, 89, 13, 26, 8, 78,\n",
" 14, 89, 41, 76, 50, 62, 95, 51, 95, 3, 93, 22, 14, 42, 28, 35, 12,\n",
" 31, 70, 58, 85, 27, 65, 41, 44, 61, 56, 5, 27, 27, 43, 83, 29, 61,\n",
" 74, 91, 88, 61, 96, 0, 26, 61, 76, 2, 69, 71, 26])"
]
},
"execution_count": 87,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sample_ages"
]
},
{
"cell_type": "code",
"execution_count": 88,
"metadata": {},
"outputs": [],
"source": [
"sample_ages = pd.DataFrame(sample_ages,columns=[\"age\"])"
]
},
{
"cell_type": "code",
"execution_count": 89,
"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",
"\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",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>51</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>92</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>14</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>71</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>60</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" age\n",
"0 51\n",
"1 92\n",
"2 14\n",
"3 71\n",
"4 60"
]
},
"execution_count": 89,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sample_ages.head()"
]
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:xlabel='age'>"
]
},
"execution_count": 90,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.rugplot(data=sample_ages,x='age')"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Data does not contain 9\n",
"Data does not contain 15\n",
"Data does not contain 16\n",
"Data does not contain 18\n",
"Data does not contain 19\n",
"Data does not contain 24\n",
"Data does not contain 30\n",
"Data does not contain 45\n",
"Data does not contain 55\n",
"Data does not contain 66\n",
"Data does not contain 67\n",
"Data does not contain 68\n",
"Data does not contain 97\n"
]
}
],
"source": [
"for age in range(0,100):\n",
" if age not in sample_ages:\n",
" print(f\"Data does not contain {age}\")"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x21e6f883e08>"
]
},
"execution_count": 91,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"text/plain": [
"<Figure size 864x576 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAVwAAAFcCAYAAACEFgYsAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAAsTAAALEwEAmpwYAAAXSklEQVR4nO3dbVBU5/3/8c/iLt7UpJla0LYaxxs6jqlRZ9JEQyqxDkizkDbKGNCRVGs1U8XGaRuVYG01UkLNMJMap2nH6RP9/asx9XaoMdZqApimMqmGGh1HRTQieG8QRXY5/wcZtxgXBHS/yy7v1xOWs7vnus6e9T3HXc6uy3EcRwCAkIsJ9wQAoKsguABghOACgBGCCwBGCC4AGImY4Pp8Pp0+fVo+ny/cUwGADomY4J49e1YTJkzQ2bNnwz0VAOiQiAkuAEQ6ggsARgguABghuABghOACgBGCCwBGCC4AGCG4AGCE4AKAEYILAEYILgAYIbgAYITgAoARggsARgguABghuABghOACgBGCCwBGCC4AGCG4AGCE4AKAEYILAEYILgAYIbgAYITgAoARggsARrpEcBt9TVE5FoDI4g73BCx43DHKXV1qMlb+zxJNxgEQebrEES4AdAYEFwCMEFwAMEJwAcAIwQUAIwQXAIwQXAAwQnABwAjBBQAjBBcAjBBcADBCcAHACMEFACMEFwCMEFwAMBLSz8NdtWqV/v73v0uSkpKS9PLLL2vx4sUqLy9Xz549JUnz5s1TcnJyKKcBAJ1CyIJbVlamkpISbdq0SS6XS7NmzdJ7772niooKrV27VvHx8aEaGgA6pZC9pBAXF6dFixYpNjZWHo9HQ4YM0ZkzZ3TmzBktWbJE6enpeuONN9TUxFfSAOgaQhbchIQEjRo1SpJUWVmp4uJife9739OYMWOUn5+vDRs2aP/+/dq4cWOopgDAgPX3+EXy9waG/DvNjh49qjlz5mjhwoUaPHiw3nzzzcB106dP1+bNmzVlypRQTwNAiFh+Z6AU2d8bGNK/UigvL9ePf/xj/eIXv9Bzzz2nI0eO6N133w1c7ziO3O4u8T2WABC64FZXV2vu3LlauXKlvF6vpC8Cm5+frytXrqixsVHr16/nLxQAdBkhO7xcs2aNGhoaVFBQEFiWmZmp2bNnKysrSz6fTykpKUpLSwvVFACgUwlZcPPy8pSXlxf0umnTpoVqWADotDjTDACMEFwAMEJwAcAIwQUAIwQXAIwQXAAwQnABwAjBBQAjBBcAjBBcADBCcAHACMEFACMEFwCMEFwAMEJwAcAIwQUAIwQXAIwQXAAwQnABwAjBBQAjBBcAjBBcADBCcAHACMEFACMEFwCMEFwgCjX6msI9BQThDvcEANx/HneMcleXmoyV/7NEk3GiAUe4AGCE4AKAEYILAEYILgAYIbgAYITgAoARggsARgguABghuBHM8mwizlwC7h1nmkUwziYCIgtHuABghOACgBGCCwBGCC4AGAlpcFetWiWv1yuv16vCwkJJUllZmdLT05WSkqKioqJQDg8AnUrIgltWVqaSkhJt2rRJmzdv1n//+19t375dubm5Wr16tYqLi1VRUaG9e/eGagoA0KmELLhxcXFatGiRYmNj5fF4NGTIEFVWVmrgwIEaMGCA3G630tPTtWPHjlBNAQA6lZAFNyEhQaNGjZIkVVZWqri4WC6XS3FxcYHbxMfHq6amJlRTAIBOJeRvmh09elQzZ87UwoUL9fDDD99xvcvlCvUUgBbZnq3nNxsLnVNIzzQrLy/X/PnzlZubK6/Xq48++kjnz58PXF9bW6v4+PhQTgFolfXZepwZ2LWF7Ai3urpac+fO1cqVK+X1eiVJI0eO1IkTJ3Ty5En5/X5t375d48aNC9UUAKBTCdkR7po1a9TQ0KCCgoLAsszMTBUUFCgnJ0cNDQ1KSkpSampqqKYAAJ1KyIKbl5envLy8oNdt3bo1VMMCQKfFmWYAYITgAoARggsARgguABghuABghOCi0+H70xCt+E4zdDp8VxuiFUe4AGCE4AKAEYILAEYILgAYIbgAYITgAoARggsARgguABghuABghOACgBGCCwBGCC4AGCG4AGCE4AKAEYILAEYILgAYIbgAYITgAoARggsARgguABghuABghOACgBGCCwBGCC4AGCG4AGCE4AKAkTYFNzc3945lOTk5930yABDN3K1duXTpUtXU1Ki8vFwXL14MLPf5fDp+/HjIJwcA0aTV4GZkZOjo0aM6cuSIJk6cGFjerVs3jR49OuSTQ+fR6GuSx80rUAg/y+fi/R6r1eCOGDFCI0aM0JNPPql+/frdt0EReTzuGOWuLjUZK/9niSbjIDJF8nOx1eDeUlVVpV/96le6cuWKHMcJLN+2bdt9nQwARLM2BXfZsmWaPHmyhg8fLpfLFeo5AUBUalNwPR6PZsyYEeq5AEBUa9OrwQkJCTpy5Eio5wIAUa1NR7inTp3S5MmT9c1vflPdu3cPLOc1XABouzYFd8GCBR0eoK6uTpmZmfrjH/+o/v37a/HixSovL1fPnj0lSfPmzVNycnKH1w8AkaJNwf32t7/doZUfOHBAeXl5qqysDCyrqKjQ2rVrFR8f36F1AkCkalNwx4wZI5fLJcdxAn+lEBcXp/fff7/V+23YsEFLly7Vyy+/LEmqr6/XmTNntGTJEp05c0bJycmaN2+eYmL4g3oA0a9NwT18+HDgcmNjo3bu3HnbspasWLHitt8vXLigMWPGaNmyZerVq5fmzJmjjRs3asqUKe2cNgBEnnYfWno8Hnm9XpWWtv9MjwEDBujNN99Unz591LNnT02fPl179+5t93oAIBK16Qj38uXLgcuO46iiokJXr15t92BHjhxRZWVl4HMZHMeR292mKQBAxGv3a7iS1KdPH73yyivtHsxxHOXn52vMmDHq1auX1q9fr+eee67d6wGASNTu13DvxbBhwzR79mxlZWXJ5/MpJSVFaWlp92XdANDZtSm4TU1NWrNmjd5//335fD4lJibqxRdfbPPLAbt37w5cnjZtmqZNm9ax2QJABGvTm2avv/66PvzwQ73wwguaMWOGPv74YxUWFoZ6bgAQVdp0iPrBBx/onXfekcfjkSQ9/fTTevbZZ4N+9Q4AILg2HeE6jhOIrSTFxsbe9jsA4O7aFNxhw4YpPz9fVVVVqqqqUn5+fodP9wWArqpNwV26dKmuXr2qzMxMTZkyRZcuXdKSJUtCPTcAiCqtBvfmzZtauHChPvzwQxUUFKisrEyPPvqounXrpt69e1vNMaI0+prCPQUAnVSrb5q98cYbqquru+0bepcvX67f/va3+sMf/nBPH9sYrSL5C+4AhFarR7h79uzR66+/rj59+gSW9e3bV4WFhdq1a1fIJwcA0aTV4Ho8HvXo0eOO5b1791ZsbGzIJgUA0ajV4MbExKiuru6O5XV1dfL5fCGbFABEo1aDm5aWpry8PNXX1weW1dfXKy8vTykpKSGfHABEk1aD+8ILL+iBBx5QYmKipkyZooyMDCUmJurBBx/U3LlzreYIAFGh1b9SiImJ0fLlyzVnzhwdOnRIMTExGjFihPr27Ws1PwCIGm36LIX+/furf//+oZ4LAEQ1vr0RAIwQXAAwQnABwAjBBQAjBBcAjBBcADBCcAHACMEFACMEFwCMEFwAMEJwAcAIwQUAIwQXAIwQXAAwQnABwAjBBQAjBBcAjBBcADBCcAHACMEFACMEFwCMEFwAMEJwAcAIwQUAIwQXAIwQXAAwQnABwAjBBQAjIQ1uXV2d0tLSdPr0aUlSWVmZ0tPTlZKSoqKiolAODQCdTsiCe+DAAWVlZamyslKSdOPGDeXm5mr16tUqLi5WRUWF9u7dG6rhAaDTCVlwN2zYoKVLlyo+Pl6SdPDgQQ0cOFADBgyQ2+1Wenq6duzYEarhAaDTcYdqxStWrLjt99raWsXFxQV+j4+PV01NTaiGB4BOx+xNM8dx7ljmcrmshgeAsDMLbt++fXX+/PnA77W1tYGXGwCgKzAL7siRI3XixAmdPHlSfr9f27dv17hx46yGB4CwC9lruF/WvXt3FRQUKCcnRw0NDUpKSlJqaqrV8AAQdiEP7u7duwOXx44dq61bt4Z6SADolDjTDACMEFwAMEJwAcAIwQUAIwQXAIwQXAAwQnABwAjBBQAjBBcAjBBcADBCcAHACMEFACMEFwCMEFwAMEJwAcAIwQUAIwQXAIwQXAAwQnABwAjBBQAjBBcAjBBcADBCcAHACMEFACMEFwCMEFwAMEJwAcAIwQUAIwQXAIwQXAAwQnABwAjBBQAjBBcAjBBcADBCcAHACMEFACMEFwCMEFwAMEJwAcAIwQUAIwQXAIy4wzFodna2Lly4ILf7i+GXLVumkSNHhmMqAGDGPLiO4+j48ePas2dPILgA0BWYv6Rw/PhxuVwu/fSnP9Wzzz6rtWvXWk8BAMLC/BDz6tWrGjt2rH7zm9/oxo0bys7O1qBBg5SYmGg9FQAwZR7c0aNHa/To0ZKkXr16KSMjQ3v37iW4AKKe+UsK+/fv1759+wK/O47Da7kAugTz4H7++ecqLCxUQ0OD6urqtGnTJiUnJ1tPAwDMmR9ajh8/XgcOHNCPfvQjNTU1aerUqYGXGAAgmoXl//IvvfSSXnrppXAMDQBhw5lmAGCE4AKAEYILAEYILgAYIbgAYITgAoARggsARgguABghuABghOACgBGCCwBGCC4AGCG4AGCE4AKAEYILAEYILgAYIbgAYITgAoARggsARgguABghuABghOACgBGCCwBGCC4AGCG4AGCE4AKAEYILAEYILgAYIbgAYITgAoARggsARgguABghuABghOACgBGCCwBGCC4AGCG4AGCE4AKAkS4R3JnLd0qSKo6fDywLdvnYZ5cDy1q6/Gnlhdt+ftn/vXs4cLnm4rXbfn75fp8c+98cgmk+bjC3tqu1+QZbR7D5NH88OnL/L9822GPa/H7BLjdfFuwxb36blubb3K373W0OLW1DsOXN799csPU2X1fzfd38treWtzSHluZ+N7eeh83XG+wxa2lfBtsXLV2/+M2SVtfb0n4N9ji19JjdutzSfr/bvrrbHJprfn3zbbsfukRwz12+LklynP8tC3a5/oYvsKylyz6/c9vPL/t/O48ELtdeun7bz9buF0zzcYO5tV2tzTfYOoLNp/nj0ZH7f/m2wR7T5vcLdrn5smCPefPbtDTf5m7d725zaGkbgi1vfv/mgq23pXkFW0dLc2hp7ndz63nYfL3BHrOW9mWwfdHS9RXHL9xx25b2dbDtudvzrbmW9vvd9tXd5tBc8+ubb9v90CWCCwCdAcEFACNhCe62bdv0zDPPKDk5WevWrQvHFADAnNt6wJqaGhUVFelvf/ubYmNjlZmZqSeeeEJDhw61ngoAmDIPbllZmcaMGaOHHnpIkjRx4kTt2LFD8+bNa/V+fr9fknT27Nl2j9lYf1HXrv7vZ/Nl7bm+pdsGG6u9621t3m25vj1jdGSOp0+f1rWr59s9bkdue/r06Q6vN9h2trautozV0rra+5jeegzv9XFqi1A/58N529Yex/vxmAbbb+3Vr18/ud135tXlOE7b3za/D9566y3V19drwYIFkqS3335bBw8e1PLly1u93/79+zVt2jSLKQLAPfnHP/6h/v3737Hc/Ag3WN9dLtdd7/ed73xH69atU1xcnLp16xaKqQHAfdGvX7+gy82D27dvX+3fvz/we21treLj4+96vx49euixxx4L5dQAIKTM/0rhySef1L59+3Tx4kVdv35dO3fu1Lhx46ynAQDmwnKEu2DBAmVnZ6uxsVEZGRl69NFHracBAObM3zQDgK6KM80AwAjBBQAjBBcAjBBcADAS1cGNpg/JWbVqlbxer7xerwoLCyV9cZp0enq6UlJSVFRUFOYZ3rvXXntNixYtkiR9+umnmjx5siZOnKhXXnlFPl/rn5PaWe3evVuTJk1SamqqXn31VUnRs9+2bNkSeE6+9tprkiJ7v9XV1SktLS1wKm9L++mettGJUmfPnnXGjx/vXLp0ybl27ZqTnp7uHD16NNzT6pDS0lLn+eefdxoaGpybN2862dnZzrZt25ykpCSnqqrKaWxsdGbOnOns2bMn3FPtsLKyMueJJ55wFi5c6DiO43i9Xufjjz92HMdxFi9e7Kxbty6Ms+uYqqoq56mnnnKqq6udmzdvOllZWc6ePXuiYr/V19c73/3ud50LFy44jY2NTkZGhlNaWhqx++0///mPk5aW5jzyyCPOqVOnnOvXr7e4n+5lG6P2CLf5h+T06tUr8CE5kSguLk6LFi1SbGysPB6PhgwZosrKSg0cOFADBgyQ2+1Wenp6xG7f5cuXVVRUpBdffFGS9Nlnn+nGjRsaNWqUJGnSpEkRuW3vvfeennnmGfXr108ej0dFRUXq2bNnVOw3v9+vpqYmXb9+XT6fTz6fT263O2L324YNG7R06dLAWa8HDx4Mup/u9blpfuKDldraWsXFxQV+j4+P18GDB8M4o45LSEgIXK6srFRxcbGmT59+x/bV1NSEY3r37Ne//rUWLFig6upqSXfuu7i4uIjctpMnT8rj8egnP/mJzp07p/HjxyshISEq9lvv3r3185//XD/4wQ/Uo0cPPf744/J4PBG731asWHHb78H6UVNTc8/Pzag9wnU6+CE5ndnRo0c1c+ZMLVy4UA8//PAd10fi9r399tv6xje+obFjxwaWRcu+8/v92rdvn37/+99rw4YN+uSTT4J+1F8kbtvhw4f1zjvv6J///KdKSkoUExOj0tLSO24XidsmtfwcvNfnZtQe4Xb0Q3I6q/Lycs2fP1+5ubnyer366KOPdP78/77BNFK3r7i4WOfOndMPf/hDXblyRfX19XK5XLdt27lz5yJy277+9a9r7Nix+trXviZJmjBhgnbs2HHbp91F6n4rKSnR2LFj1adPH0lf/Nd6zZo1UbHfpC/6Eezf15eXt3cbo/YIN5o+JKe6ulpz587VypUr5fV6JUkjR47UiRMndPLkSfn9fm3fvj0it+8vf/mLtm/fri1btmj+/Pn6/ve/r9/97nfq3r27ysvLJUmbN2+OyG0bP368SkpKdPXqVfn9fn3wwQdKTU2Niv02bNgwlZWVqb6+Xo7jaPfu3Xr88cejYr9JLf/7+ta3vnVP2xjVR7jR8iE5a9asUUNDgwoKCgLLMjMzVVBQoJycHDU0NCgpKUmpqalhnOX9tXLlSuXl5enatWsaPny4srOzwz2ldhs5cqRmzZqlqVOnqrGxUYmJicrKytLgwYMjfr899dRTOnTokCZNmiSPx6MRI0Zo9uzZSk5Ojvj9Jkndu3dv8d/XvTw3+fAaADAStS8pAEBnQ3ABwAjBBQAjBBcAjBBcADBCcAHACMEFACNRe+IDurampibl5+frwIEDunbtmhzH0auvvqpBgwZp8eLFqqqq0kMPPaS4uDglJCQoJydHx44d04oVK3T58mX5/X5Nnz5dGRkZ4d4URBGCi6h04MAB1dbWav369YqJidGf/vQn/fnPf1avXr00dOhQvfXWW6qtrdWkSZOUkJAgn8+n+fPnq7CwUI888og+//xzPf/88xo6dGjgo/iAe0VwEZVGjx6tr371q/rrX/+qU6dO6V//+pe+8pWv6N///rc2bdok6YuP3Lt1umZlZaWqqqqUm5sbWMeNGzd06NAhgov7huAiKu3Zs0crVqzQjBkzNGHCBA0ePFhbt26V2+2+7SP2YmK+eBvD7/frwQcf1JYtWwLXnT9/Xg888ID53BG9eNMMUam0tFTjx4/X1KlTNWLECO3atUt+v19JSUnauHGjJOnSpUvatWuXXC6XBg0apO7duweCW11drbS0NFVUVIRzMxBl+PAaRKVjx47pl7/8pXw+n7p166bHHntMO3fu1JYtW5SXlxd408xxHD399NOaNWuWDh8+HHjTzOfzKTs7W1lZWeHeFEQRgosuZd26dRo+fLhGjx6tmzdvaurUqcrJyVFSUlK4p4YugNdw0aUMHTpUy5cvV1NTkxobG5WamkpsYYYjXAAwwptmAGCE4AKAEYILAEYILgAYIbgAYITgAoCR/w/75bQK4VZ0+gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 360x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12,8))\n",
"sns.displot(data=sample_ages,x='age',bins=10,rug=True)"
]
},
{
"cell_type": "code",
"execution_count": 92,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x21e6f9d82c8>"
]
},
"execution_count": 92,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"text/plain": [
"<Figure size 864x576 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 360x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12,8))\n",
"sns.displot(data=sample_ages,x='age',bins=10,rug=True,kde=True)"
]
},
{
"cell_type": "code",
"execution_count": 93,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:xlabel='age', ylabel='Density'>"
]
},
"execution_count": 93,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.kdeplot(data=sample_ages,x='age')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Cut Off KDE\n",
"\n",
"We could cut off the KDE if we know our data has hard limits (no one can be a negative age and no one in the population can be older than 100 for some reason)"
]
},
{
"cell_type": "code",
"execution_count": 94,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:xlabel='age', ylabel='Density'>"
]
},
"execution_count": 94,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# plt.figure(figsize=(12,8))\n",
"sns.kdeplot(data=sample_ages,x='age',clip=[0,100])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Binwidth\n",
"\n",
"As explained in the video, the KDE is constructed through the summation of the kernel (most commonly Gaussian), we can effect the bandwith of this kernel to make the KDE more \"sensitive\" to the data. Notice how with a smaller bandwith, the kernels don't stretch so wide, meaning we don't need the cut-off anymore. This is analagous to increasing the number of bins in a histogram (making the actual bins narrower)."
]
},
{
"cell_type": "code",
"execution_count": 95,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:xlabel='age', ylabel='Density'>"
]
},
"execution_count": 95,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.kdeplot(data=sample_ages,x='age',bw_adjust=0.1)"
]
},
{
"cell_type": "code",
"execution_count": 96,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:xlabel='age', ylabel='Density'>"
]
},
"execution_count": 96,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.kdeplot(data=sample_ages,x='age',bw_adjust=0.5)"
]
},
{
"cell_type": "code",
"execution_count": 97,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:xlabel='age', ylabel='Density'>"
]
},
"execution_count": 97,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.kdeplot(data=sample_ages,x='age',bw_adjust=1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Basic Styling\n",
"\n",
"There are a few basic styling calls directly availble in a KDE."
]
},
{
"cell_type": "code",
"execution_count": 98,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:xlabel='age', ylabel='Density'>"
]
},
"execution_count": 98,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.kdeplot(data=sample_ages,x='age',bw_adjust=0.5,shade=True,color='red')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2 Dimensional KDE Plots\n",
"\n",
"We will cover these in more detail later, but just keep in mind you could compare two continuous features and create a 2d KDE plot showing there distributions with the same kdeplot() call. Don't worry about this now, since we will cover it in more detail later when we talk about comparing 2 features against each other in a plot call."
]
},
{
"cell_type": "code",
"execution_count": 103,
"metadata": {},
"outputs": [],
"source": [
"random_data = pd.DataFrame(np.random.normal(0,1,size=(100,2)),columns=['x','y'])"
]
},
{
"cell_type": "code",
"execution_count": 104,
"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",
"\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>x</th>\n",
" <th>y</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0.926178</td>\n",
" <td>1.909417</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>-1.398568</td>\n",
" <td>0.562969</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>-0.650643</td>\n",
" <td>-0.487125</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>-0.592394</td>\n",
" <td>-0.863991</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0.048522</td>\n",
" <td>-0.830950</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>95</th>\n",
" <td>-0.360966</td>\n",
" <td>1.159330</td>\n",
" </tr>\n",
" <tr>\n",
" <th>96</th>\n",
" <td>-1.081063</td>\n",
" <td>0.615936</td>\n",
" </tr>\n",
" <tr>\n",
" <th>97</th>\n",
" <td>0.593101</td>\n",
" <td>-0.309546</td>\n",
" </tr>\n",
" <tr>\n",
" <th>98</th>\n",
" <td>0.326133</td>\n",
" <td>-1.251114</td>\n",
" </tr>\n",
" <tr>\n",
" <th>99</th>\n",
" <td>0.924027</td>\n",
" <td>-0.184902</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>100 rows × 2 columns</p>\n",
"</div>"
],
"text/plain": [
" x y\n",
"0 0.926178 1.909417\n",
"1 -1.398568 0.562969\n",
"2 -0.650643 -0.487125\n",
"3 -0.592394 -0.863991\n",
"4 0.048522 -0.830950\n",
".. ... ...\n",
"95 -0.360966 1.159330\n",
"96 -1.081063 0.615936\n",
"97 0.593101 -0.309546\n",
"98 0.326133 -1.251114\n",
"99 0.924027 -0.184902\n",
"\n",
"[100 rows x 2 columns]"
]
},
"execution_count": 104,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"random_data"
]
},
{
"cell_type": "code",
"execution_count": 106,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:xlabel='x', ylabel='y'>"
]
},
"execution_count": 106,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.kdeplot(data=random_data,x='x',y='y')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"----\n",
"----"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Bonus Code for Visualizations from Video Lecture\n",
"\n",
"Below is the code used to create the visualizations shown in the video lecture for an explanation of a KDE plot. We will not cover this code in further detail, since it was only used for the creation of the slides shown in the video."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"from scipy import stats"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Data**"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"np.random.seed(101)\n",
"x = np.random.normal(0, 1, size=20)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"bandwidth = x.std() * x.size ** (-0.001)\n",
"support = np.linspace(-5, 5, 100)\n",
"\n",
"kernels = []\n",
"\n",
"plt.figure(figsize=(12,6))\n",
"\n",
"for x_i in x:\n",
"\n",
" kernel = stats.norm(x_i, bandwidth).pdf(support)\n",
" kernels.append(kernel)\n",
" plt.plot(support, kernel, color=\"lightblue\")\n",
"\n",
"sns.rugplot(x, color=\"darkblue\", linewidth=4);"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.integrate import trapz\n",
"plt.figure(figsize=(12,6))\n",
"density = np.sum(kernels, axis=0)\n",
"density /= trapz(density, support)\n",
"plt.plot(support, density);\n",
"sns.rugplot(x, color=\"darkblue\", linewidth=4);"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:ylabel='Density'>"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"bandwidth = x.std() * x.size ** (-0.001)\n",
"support = np.linspace(-5, 5, 100)\n",
"\n",
"kernels = []\n",
"\n",
"plt.figure(figsize=(12,6))\n",
"\n",
"for x_i in x:\n",
"\n",
" kernel = stats.norm(x_i, bandwidth).pdf(support)\n",
" kernels.append(kernel)\n",
" plt.plot(support, kernel, color=\"lightblue\")\n",
"\n",
"sns.rugplot(x, color=\"darkblue\", linewidth=4);\n",
"sns.kdeplot(x,linewidth=6,shade=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"---"
]
}
],
"metadata": {
"anaconda-cloud": {},
"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": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 1
}