{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Big Mart Sales\n", "\n", ">. To build a regression methodology to determine the sales of items at a particular outlet." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## How to run this notebook??\n", "\n", "- ensure the input data absolute path is 'Sales_Training.csv' \n", "- import the libraries (1.2)\n", "- run all the functions (1.10)\n", "- run sequentially (1.3 onwards)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Importing the Libraries" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:09.984571Z", "start_time": "2021-02-16T07:32:09.964606Z" } }, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt \n", "import seaborn as sns\n", "from sklearn import preprocessing\n", "from statsmodels.stats.outliers_influence import variance_inflation_factor\n", "from sklearn import metrics\n", "from sklearn.metrics import pairwise_distances\n", "from joblib import Parallel, delayed\n", "import time \n", "from datetime import datetime\n", "import plotly.express as px\n", "from sklearn.decomposition import PCA\n", "from sklearn.cluster import KMeans\n", "\n", "from scipy.spatial.distance import cdist\n", "from yellowbrick.cluster import KElbowVisualizer\n", "from sklearn.metrics import silhouette_samples, silhouette_score\n", "import matplotlib.cm as cm\n", "\n", "from sklearn.metrics import davies_bouldin_score\n", "import scipy.cluster.hierarchy as shc\n", "\n", "from sklearn.metrics.pairwise import euclidean_distances\n", "from sklearn import metrics\n", "from time import time\n", "from sklearn.cluster import KMeans\n", "from sklearn.decomposition import PCA\n", "#from sklearn_extra.cluster import KMedoids\n", "from sklearn.cluster import AgglomerativeClustering\n", "import plotly as py\n", "import plotly.graph_objs as go\n", "from plotly.offline import download_plotlyjs, init_notebook_mode, plot, iplot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reading the Data" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:10.248419Z", "start_time": "2021-02-16T07:32:09.987568Z" }, "scrolled": false }, "outputs": [ { "data": { "text/html": [ "
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Item_IdentifierItem_WeightItem_VisibilityItem_MRPOutlet_IdentifierItem_Outlet_SalesOutlet_YearsItem_Fat_Content_0Item_Fat_Content_1Outlet_Location_Type_0...Outlet_0Outlet_1Outlet_2Outlet_3Outlet_4Outlet_5Outlet_6Outlet_7Outlet_8Outlet_9
0FDA159.300.016047249.8092OUT0493735.138010101...0000000001
1DRC015.920.01927848.2692OUT018443.42280010...0001000000
2FDN1517.500.016760141.6180OUT0492097.270010101...0000000001
3FDX0719.200.017834182.0950OUT010732.380011010...1000000000
4NCD198.930.00978053.8614OUT013994.705222100...0100000000
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5 rows × 33 columns

\n", "
" ], "text/plain": [ " Item_Identifier Item_Weight Item_Visibility Item_MRP Outlet_Identifier \\\n", "0 FDA15 9.30 0.016047 249.8092 OUT049 \n", "1 DRC01 5.92 0.019278 48.2692 OUT018 \n", "2 FDN15 17.50 0.016760 141.6180 OUT049 \n", "3 FDX07 19.20 0.017834 182.0950 OUT010 \n", "4 NCD19 8.93 0.009780 53.8614 OUT013 \n", "\n", " Item_Outlet_Sales Outlet_Years Item_Fat_Content_0 Item_Fat_Content_1 \\\n", "0 3735.1380 10 1 0 \n", "1 443.4228 0 0 1 \n", "2 2097.2700 10 1 0 \n", "3 732.3800 11 0 1 \n", "4 994.7052 22 1 0 \n", "\n", " Outlet_Location_Type_0 ... Outlet_0 Outlet_1 Outlet_2 Outlet_3 \\\n", "0 1 ... 0 0 0 0 \n", "1 0 ... 0 0 0 1 \n", "2 1 ... 0 0 0 0 \n", "3 0 ... 1 0 0 0 \n", "4 0 ... 0 1 0 0 \n", "\n", " Outlet_4 Outlet_5 Outlet_6 Outlet_7 Outlet_8 Outlet_9 \n", "0 0 0 0 0 0 1 \n", "1 0 0 0 0 0 0 \n", "2 0 0 0 0 0 1 \n", "3 0 0 0 0 0 0 \n", "4 0 0 0 0 0 0 \n", "\n", "[5 rows x 33 columns]" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_main=pd.read_csv('Sales_Training.csv')\n", "df_main.head(5)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:10.293394Z", "start_time": "2021-02-16T07:32:10.252416Z" } }, "outputs": [ { "data": { "text/plain": [ "Index(['Item_Identifier', 'Item_Weight', 'Item_Visibility', 'Item_MRP',\n", " 'Outlet_Identifier', 'Item_Outlet_Sales', 'Outlet_Years',\n", " 'Item_Fat_Content_0', 'Item_Fat_Content_1', 'Outlet_Location_Type_0',\n", " 'Outlet_Location_Type_1', 'Outlet_Location_Type_2', 'Outlet_Size_0',\n", " 'Outlet_Size_1', 'Outlet_Size_2', 'Outlet_Size_3', 'Outlet_Type_0',\n", " 'Outlet_Type_1', 'Outlet_Type_2', 'Outlet_Type_3',\n", " 'Item_Type_Combined_0', 'Item_Type_Combined_1', 'Item_Type_Combined_2',\n", " 'Outlet_0', 'Outlet_1', 'Outlet_2', 'Outlet_3', 'Outlet_4', 'Outlet_5',\n", " 'Outlet_6', 'Outlet_7', 'Outlet_8', 'Outlet_9'],\n", " dtype='object')" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_main.columns" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:10.480288Z", "start_time": "2021-02-16T07:32:10.297389Z" } }, "outputs": [ { "data": { "text/html": [ "
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nunique
Item_Identifier
DRA124
DRB132
DRB484
DRC272
DRD243
......
NCY414
NCZ064
NCZ183
NCZ422
NCZ543
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585 rows × 1 columns

\n", "
" ], "text/plain": [ " nunique\n", "Item_Identifier \n", "DRA12 4\n", "DRB13 2\n", "DRB48 4\n", "DRC27 2\n", "DRD24 3\n", "... ...\n", "NCY41 4\n", "NCZ06 4\n", "NCZ18 3\n", "NCZ42 2\n", "NCZ54 3\n", "\n", "[585 rows x 1 columns]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x=df_main[['Outlet_Identifier','Item_Identifier']].groupby(['Item_Identifier'])['Outlet_Identifier'].agg({'nunique'})\n", "x[x['nunique']>1]" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:10.574236Z", "start_time": "2021-02-16T07:32:10.483285Z" } }, "outputs": [ { "data": { "text/html": [ "
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countnunique
Outlet_Identifier
OUT010295121
OUT013555225
OUT017557215
OUT018524203
OUT019317125
OUT027530227
OUT035560221
OUT045580235
OUT046548224
OUT049539206
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" ], "text/plain": [ " count nunique\n", "Outlet_Identifier \n", "OUT010 295 121\n", "OUT013 555 225\n", "OUT017 557 215\n", "OUT018 524 203\n", "OUT019 317 125\n", "OUT027 530 227\n", "OUT035 560 221\n", "OUT045 580 235\n", "OUT046 548 224\n", "OUT049 539 206" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_main[['Outlet_Identifier','Item_Identifier']].groupby(['Outlet_Identifier'])['Item_Identifier'].agg({'count','nunique'})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "insights\n", "- one outlet has multiple products & one product could be sold in multiple outlets. we will keep item id as prediction index, as for outlet identifier, it can be discarded as there are 10 different outlets & its already one hot encoded to produce the columns [Outlet_0],[Outlet_1] ,[Outlet_2] ,[Outlet_3] ,[Outlet_4] ,[Outlet_5] ,[Outlet_6] ,[Outlet_7] ,[Outlet_8]\n", ",[Outlet_9].\n", "\n", "- the table below shows 'OUTLET_IDENTIFIER' based on the values of outlet_i where i is number of outlets -1" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:10.746136Z", "start_time": "2021-02-16T07:32:10.577232Z" } }, "outputs": [ { "data": { "text/html": [ "
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Outlet_IdentifierOutlet_0Outlet_1Outlet_2Outlet_3Outlet_4Outlet_5Outlet_6Outlet_7Outlet_8Outlet_9
0OUT0490000000001
1OUT0180001000000
2OUT0101000000000
3OUT0130100000000
4OUT0270000010000
5OUT0450000000100
6OUT0170010000000
7OUT0460000000010
8OUT0350000001000
9OUT0190000100000
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" ], "text/plain": [ " Outlet_Identifier Outlet_0 Outlet_1 Outlet_2 Outlet_3 Outlet_4 \\\n", "0 OUT049 0 0 0 0 0 \n", "1 OUT018 0 0 0 1 0 \n", "2 OUT010 1 0 0 0 0 \n", "3 OUT013 0 1 0 0 0 \n", "4 OUT027 0 0 0 0 0 \n", "5 OUT045 0 0 0 0 0 \n", "6 OUT017 0 0 1 0 0 \n", "7 OUT046 0 0 0 0 0 \n", "8 OUT035 0 0 0 0 0 \n", "9 OUT019 0 0 0 0 1 \n", "\n", " Outlet_5 Outlet_6 Outlet_7 Outlet_8 Outlet_9 \n", "0 0 0 0 0 1 \n", "1 0 0 0 0 0 \n", "2 0 0 0 0 0 \n", "3 0 0 0 0 0 \n", "4 1 0 0 0 0 \n", "5 0 0 1 0 0 \n", "6 0 0 0 0 0 \n", "7 0 0 0 1 0 \n", "8 0 1 0 0 0 \n", "9 0 0 0 0 0 " ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_main[['Outlet_Identifier','Outlet_0', 'Outlet_1', 'Outlet_2', 'Outlet_3', 'Outlet_4', 'Outlet_5',\n", " 'Outlet_6', 'Outlet_7', 'Outlet_8', 'Outlet_9']].drop_duplicates().reset_index(drop=True)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:10.840078Z", "start_time": "2021-02-16T07:32:10.749132Z" } }, "outputs": [], "source": [ "df=df_main.copy()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exploratory Data Analysis\n", "there are main components of exploring data:\n", "- Understanding your variables\n", "- Cleaning your dataset\n", "- Analyzing relationships between variables" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### List of Columns" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:10.965009Z", "start_time": "2021-02-16T07:32:10.846077Z" }, "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "list of parameters in the data \n" ] }, { "data": { "text/plain": [ "Index(['Item_Identifier', 'Item_Weight', 'Item_Visibility', 'Item_MRP',\n", " 'Outlet_Identifier', 'Item_Outlet_Sales', 'Outlet_Years',\n", " 'Item_Fat_Content_0', 'Item_Fat_Content_1', 'Outlet_Location_Type_0',\n", " 'Outlet_Location_Type_1', 'Outlet_Location_Type_2', 'Outlet_Size_0',\n", " 'Outlet_Size_1', 'Outlet_Size_2', 'Outlet_Size_3', 'Outlet_Type_0',\n", " 'Outlet_Type_1', 'Outlet_Type_2', 'Outlet_Type_3',\n", " 'Item_Type_Combined_0', 'Item_Type_Combined_1', 'Item_Type_Combined_2',\n", " 'Outlet_0', 'Outlet_1', 'Outlet_2', 'Outlet_3', 'Outlet_4', 'Outlet_5',\n", " 'Outlet_6', 'Outlet_7', 'Outlet_8', 'Outlet_9'],\n", " dtype='object')" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print('list of parameters in the data ')\n", "df.columns" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:11.071944Z", "start_time": "2021-02-16T07:32:10.969006Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "number of rows in the data 5005\n", "number of columns in the data 33\n" ] } ], "source": [ "print('number of rows in the data',df.shape[0])\n", "print('number of columns in the data',df.shape[1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Summary Statistics " ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:11.318828Z", "start_time": "2021-02-16T07:32:11.075944Z" }, "scrolled": false }, "outputs": [ { "data": { "text/html": [ "
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countmeanstdmin25%50%75%max
Item_Weight5005.013.0127394.5705054.590009.00000013.00000016.85000021.350000
Item_Visibility5005.00.0712380.0498710.004780.0322840.0613310.0986640.328391
Item_MRP5005.0142.25308662.65699231.2900093.912000145.047000187.387200265.222600
Item_Outlet_Sales5005.02233.8632931754.29005633.29000866.8716001808.3128003125.93100011445.102000
Outlet_Years5005.011.1334678.3543720.000005.00000010.00000022.00000024.000000
Item_Fat_Content_05005.00.6547450.4754990.000000.0000001.0000001.0000001.000000
Item_Fat_Content_15005.00.3452550.4754990.000000.0000000.0000001.0000001.000000
Outlet_Location_Type_05005.00.2805190.4492980.000000.0000000.0000001.0000001.000000
Outlet_Location_Type_15005.00.3390610.4734380.000000.0000000.0000001.0000001.000000
Outlet_Location_Type_25005.00.3804200.4855380.000000.0000000.0000001.0000001.000000
Outlet_Size_05005.00.1108890.3140260.000000.0000000.0000000.0000001.000000
Outlet_Size_15005.00.3182820.4658560.000000.0000000.0000001.0000001.000000
Outlet_Size_25005.00.5118880.4999090.000000.0000001.0000001.0000001.000000
Outlet_Size_35005.00.0589410.2355380.000000.0000000.0000000.0000001.000000
Outlet_Type_05005.00.1222780.3276390.000000.0000000.0000000.0000001.000000
Outlet_Type_15005.00.6671330.4712870.000000.0000001.0000001.0000001.000000
Outlet_Type_25005.00.1046950.3061910.000000.0000000.0000000.0000001.000000
Outlet_Type_35005.00.1058940.3077330.000000.0000000.0000000.0000001.000000
Item_Type_Combined_05005.00.0963040.2950370.000000.0000000.0000000.0000001.000000
Item_Type_Combined_15005.00.7210790.4485130.000000.0000001.0000001.0000001.000000
Item_Type_Combined_25005.00.1826170.3863910.000000.0000000.0000000.0000001.000000
Outlet_05005.00.0589410.2355380.000000.0000000.0000000.0000001.000000
Outlet_15005.00.1108890.3140260.000000.0000000.0000000.0000001.000000
Outlet_25005.00.1112890.3145210.000000.0000000.0000000.0000001.000000
Outlet_35005.00.1046950.3061910.000000.0000000.0000000.0000001.000000
Outlet_45005.00.0633370.2435920.000000.0000000.0000000.0000001.000000
Outlet_55005.00.1058940.3077330.000000.0000000.0000000.0000001.000000
Outlet_65005.00.1118880.3152600.000000.0000000.0000000.0000001.000000
Outlet_75005.00.1158840.3201180.000000.0000000.0000000.0000001.000000
Outlet_85005.00.1094910.3122850.000000.0000000.0000000.0000001.000000
Outlet_95005.00.1076920.3100220.000000.0000000.0000000.0000001.000000
\n", "
" ], "text/plain": [ " count mean std min \\\n", "Item_Weight 5005.0 13.012739 4.570505 4.59000 \n", "Item_Visibility 5005.0 0.071238 0.049871 0.00478 \n", "Item_MRP 5005.0 142.253086 62.656992 31.29000 \n", "Item_Outlet_Sales 5005.0 2233.863293 1754.290056 33.29000 \n", "Outlet_Years 5005.0 11.133467 8.354372 0.00000 \n", "Item_Fat_Content_0 5005.0 0.654745 0.475499 0.00000 \n", "Item_Fat_Content_1 5005.0 0.345255 0.475499 0.00000 \n", "Outlet_Location_Type_0 5005.0 0.280519 0.449298 0.00000 \n", "Outlet_Location_Type_1 5005.0 0.339061 0.473438 0.00000 \n", "Outlet_Location_Type_2 5005.0 0.380420 0.485538 0.00000 \n", "Outlet_Size_0 5005.0 0.110889 0.314026 0.00000 \n", "Outlet_Size_1 5005.0 0.318282 0.465856 0.00000 \n", "Outlet_Size_2 5005.0 0.511888 0.499909 0.00000 \n", "Outlet_Size_3 5005.0 0.058941 0.235538 0.00000 \n", "Outlet_Type_0 5005.0 0.122278 0.327639 0.00000 \n", "Outlet_Type_1 5005.0 0.667133 0.471287 0.00000 \n", "Outlet_Type_2 5005.0 0.104695 0.306191 0.00000 \n", "Outlet_Type_3 5005.0 0.105894 0.307733 0.00000 \n", "Item_Type_Combined_0 5005.0 0.096304 0.295037 0.00000 \n", "Item_Type_Combined_1 5005.0 0.721079 0.448513 0.00000 \n", "Item_Type_Combined_2 5005.0 0.182617 0.386391 0.00000 \n", "Outlet_0 5005.0 0.058941 0.235538 0.00000 \n", "Outlet_1 5005.0 0.110889 0.314026 0.00000 \n", "Outlet_2 5005.0 0.111289 0.314521 0.00000 \n", "Outlet_3 5005.0 0.104695 0.306191 0.00000 \n", "Outlet_4 5005.0 0.063337 0.243592 0.00000 \n", "Outlet_5 5005.0 0.105894 0.307733 0.00000 \n", "Outlet_6 5005.0 0.111888 0.315260 0.00000 \n", "Outlet_7 5005.0 0.115884 0.320118 0.00000 \n", "Outlet_8 5005.0 0.109491 0.312285 0.00000 \n", "Outlet_9 5005.0 0.107692 0.310022 0.00000 \n", "\n", " 25% 50% 75% max \n", "Item_Weight 9.000000 13.000000 16.850000 21.350000 \n", "Item_Visibility 0.032284 0.061331 0.098664 0.328391 \n", "Item_MRP 93.912000 145.047000 187.387200 265.222600 \n", "Item_Outlet_Sales 866.871600 1808.312800 3125.931000 11445.102000 \n", "Outlet_Years 5.000000 10.000000 22.000000 24.000000 \n", "Item_Fat_Content_0 0.000000 1.000000 1.000000 1.000000 \n", "Item_Fat_Content_1 0.000000 0.000000 1.000000 1.000000 \n", "Outlet_Location_Type_0 0.000000 0.000000 1.000000 1.000000 \n", "Outlet_Location_Type_1 0.000000 0.000000 1.000000 1.000000 \n", "Outlet_Location_Type_2 0.000000 0.000000 1.000000 1.000000 \n", "Outlet_Size_0 0.000000 0.000000 0.000000 1.000000 \n", "Outlet_Size_1 0.000000 0.000000 1.000000 1.000000 \n", "Outlet_Size_2 0.000000 1.000000 1.000000 1.000000 \n", "Outlet_Size_3 0.000000 0.000000 0.000000 1.000000 \n", "Outlet_Type_0 0.000000 0.000000 0.000000 1.000000 \n", "Outlet_Type_1 0.000000 1.000000 1.000000 1.000000 \n", "Outlet_Type_2 0.000000 0.000000 0.000000 1.000000 \n", "Outlet_Type_3 0.000000 0.000000 0.000000 1.000000 \n", "Item_Type_Combined_0 0.000000 0.000000 0.000000 1.000000 \n", "Item_Type_Combined_1 0.000000 1.000000 1.000000 1.000000 \n", "Item_Type_Combined_2 0.000000 0.000000 0.000000 1.000000 \n", "Outlet_0 0.000000 0.000000 0.000000 1.000000 \n", "Outlet_1 0.000000 0.000000 0.000000 1.000000 \n", "Outlet_2 0.000000 0.000000 0.000000 1.000000 \n", "Outlet_3 0.000000 0.000000 0.000000 1.000000 \n", "Outlet_4 0.000000 0.000000 0.000000 1.000000 \n", "Outlet_5 0.000000 0.000000 0.000000 1.000000 \n", "Outlet_6 0.000000 0.000000 0.000000 1.000000 \n", "Outlet_7 0.000000 0.000000 0.000000 1.000000 \n", "Outlet_8 0.000000 0.000000 0.000000 1.000000 \n", "Outlet_9 0.000000 0.000000 0.000000 1.000000 " ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.describe().T" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Insights \n", "- all columns have count of 200 i.e there are no null values in any column\n", "- but there is '?' instead" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:11.412751Z", "start_time": "2021-02-16T07:32:11.321809Z" } }, "outputs": [], "source": [ "df.replace('?', np.NAN, inplace=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Null values per column" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:11.552691Z", "start_time": "2021-02-16T07:32:11.415749Z" }, "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Null values in the number of columns ?\n" ] }, { "data": { "text/plain": [ "0" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#double check the null values\n", "print('Null values in the number of columns ?')\n", "df.isnull().any().sum()" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:11.661609Z", "start_time": "2021-02-16T07:32:11.555672Z" }, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "Item_Identifier 0\n", "Item_Weight 0\n", "Item_Visibility 0\n", "Item_MRP 0\n", "Outlet_Identifier 0\n", "Item_Outlet_Sales 0\n", "Outlet_Years 0\n", "Item_Fat_Content_0 0\n", "Item_Fat_Content_1 0\n", "Outlet_Location_Type_0 0\n", "Outlet_Location_Type_1 0\n", "Outlet_Location_Type_2 0\n", "Outlet_Size_0 0\n", "Outlet_Size_1 0\n", "Outlet_Size_2 0\n", "Outlet_Size_3 0\n", "Outlet_Type_0 0\n", "Outlet_Type_1 0\n", "Outlet_Type_2 0\n", "Outlet_Type_3 0\n", "Item_Type_Combined_0 0\n", "Item_Type_Combined_1 0\n", "Item_Type_Combined_2 0\n", "Outlet_0 0\n", "Outlet_1 0\n", "Outlet_2 0\n", "Outlet_3 0\n", "Outlet_4 0\n", "Outlet_5 0\n", "Outlet_6 0\n", "Outlet_7 0\n", "Outlet_8 0\n", "Outlet_9 0\n", "dtype: int64" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.isnull().sum()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:11.771547Z", "start_time": "2021-02-16T07:32:11.665607Z" }, "cell_style": "center" }, "outputs": [], "source": [ "bool_value= False\n", "columns_with_null = []\n", "\n", "count_null = df.isnull().sum()\n", "for count_ in count_null:\n", " if count_ > 0:\n", " bool_value= True\n", "\n", "if bool_value:\n", " null_df = pd.DataFrame(count_null).reset_index().rename(columns={'index': 'col_name', 0:'no_of_nulls'})\n", " columns_with_null = list(null_df[null_df['no_of_nulls'] > 0]['col_name'].values)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:11.881507Z", "start_time": "2021-02-16T07:32:11.774544Z" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "columns_with_null" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Data types of columns" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:11.990436Z", "start_time": "2021-02-16T07:32:11.884481Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "RangeIndex: 5005 entries, 0 to 5004\n", "Data columns (total 33 columns):\n", "Item_Identifier 5005 non-null object\n", "Item_Weight 5005 non-null float64\n", "Item_Visibility 5005 non-null float64\n", "Item_MRP 5005 non-null float64\n", "Outlet_Identifier 5005 non-null object\n", "Item_Outlet_Sales 5005 non-null float64\n", "Outlet_Years 5005 non-null int64\n", "Item_Fat_Content_0 5005 non-null int64\n", "Item_Fat_Content_1 5005 non-null int64\n", "Outlet_Location_Type_0 5005 non-null int64\n", "Outlet_Location_Type_1 5005 non-null int64\n", "Outlet_Location_Type_2 5005 non-null int64\n", "Outlet_Size_0 5005 non-null int64\n", "Outlet_Size_1 5005 non-null int64\n", "Outlet_Size_2 5005 non-null int64\n", "Outlet_Size_3 5005 non-null int64\n", "Outlet_Type_0 5005 non-null int64\n", "Outlet_Type_1 5005 non-null int64\n", "Outlet_Type_2 5005 non-null int64\n", "Outlet_Type_3 5005 non-null int64\n", "Item_Type_Combined_0 5005 non-null int64\n", "Item_Type_Combined_1 5005 non-null int64\n", "Item_Type_Combined_2 5005 non-null int64\n", "Outlet_0 5005 non-null int64\n", "Outlet_1 5005 non-null int64\n", "Outlet_2 5005 non-null int64\n", "Outlet_3 5005 non-null int64\n", "Outlet_4 5005 non-null int64\n", "Outlet_5 5005 non-null int64\n", "Outlet_6 5005 non-null int64\n", "Outlet_7 5005 non-null int64\n", "Outlet_8 5005 non-null int64\n", "Outlet_9 5005 non-null int64\n", "dtypes: float64(4), int64(27), object(2)\n", "memory usage: 1.3+ MB\n" ] } ], "source": [ "#checking for data types of the columns\n", "df.info()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Encoding Categorical Columns" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "from doccumentation we know , we have the following as categorical features, but its already one hot encoded data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Data Distribution" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:12.099358Z", "start_time": "2021-02-16T07:32:11.993418Z" } }, "outputs": [ { "data": { "text/plain": [ "Index(['Item_Identifier', 'Item_Weight', 'Item_Visibility', 'Item_MRP',\n", " 'Outlet_Identifier', 'Item_Outlet_Sales', 'Outlet_Years',\n", " 'Item_Fat_Content_0', 'Item_Fat_Content_1', 'Outlet_Location_Type_0',\n", " 'Outlet_Location_Type_1', 'Outlet_Location_Type_2', 'Outlet_Size_0',\n", " 'Outlet_Size_1', 'Outlet_Size_2', 'Outlet_Size_3', 'Outlet_Type_0',\n", " 'Outlet_Type_1', 'Outlet_Type_2', 'Outlet_Type_3',\n", " 'Item_Type_Combined_0', 'Item_Type_Combined_1', 'Item_Type_Combined_2',\n", " 'Outlet_0', 'Outlet_1', 'Outlet_2', 'Outlet_3', 'Outlet_4', 'Outlet_5',\n", " 'Outlet_6', 'Outlet_7', 'Outlet_8', 'Outlet_9'],\n", " dtype='object')" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.columns" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:18.157905Z", "start_time": "2021-02-16T07:32:12.102356Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "p=df.hist(figsize=(15,10))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Outlier detection" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Box Plot " ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:18.172895Z", "start_time": "2021-02-16T07:32:18.160883Z" } }, "outputs": [ { "data": { "text/plain": [ "Index(['Item_Identifier', 'Item_Weight', 'Item_Visibility', 'Item_MRP',\n", " 'Outlet_Identifier', 'Item_Outlet_Sales', 'Outlet_Years',\n", " 'Item_Fat_Content_0', 'Item_Fat_Content_1', 'Outlet_Location_Type_0',\n", " 'Outlet_Location_Type_1', 'Outlet_Location_Type_2', 'Outlet_Size_0',\n", " 'Outlet_Size_1', 'Outlet_Size_2', 'Outlet_Size_3', 'Outlet_Type_0',\n", " 'Outlet_Type_1', 'Outlet_Type_2', 'Outlet_Type_3',\n", " 'Item_Type_Combined_0', 'Item_Type_Combined_1', 'Item_Type_Combined_2',\n", " 'Outlet_0', 'Outlet_1', 'Outlet_2', 'Outlet_3', 'Outlet_4', 'Outlet_5',\n", " 'Outlet_6', 'Outlet_7', 'Outlet_8', 'Outlet_9'],\n", " dtype='object')" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_main.columns" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:18.575642Z", "start_time": "2021-02-16T07:32:18.175877Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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8OXBeRMwHnj9SoANk5rUtvuapVF95XGSoN5msMfsscAxVAFPvjF8PnJmZvxxto53jVe90Rmr/aN3+kvr5A8C76+ZjqXZUszbUp2BnvQz4JnBUZl7etPz7wG2Z+Y6IuBf4CbCD6vrvPYHjMvO7EfEtYA9g57+B7cAx033yNFtD/RnAO4CtEXEbsDvwYapBuwc4ATia6hd7d6oL/T8OLKeaub03M780St83AGcDq4EjgIuAcyNiIXAAcCNARBwyymu+ODPPiIizgTdSzfT3qPsEWB4Rb6nfw9lU/xhfBlwaEQdnZqnfuzCZY3Yl8OGI2CMzf1Vvc31m/rL+xT6xfv3VwK+BR+rXehPVDPzTwOKI+DLwLOCrmXlORFxCFVrA/wuxk4HDgAMi4lnA6zPzLfU6twBvzsz72/lhzTCTtbMG+BHwV8DlABHxh8BTh61zaGY+Wbe/DvgQ8Bd12zGZ+aO67STgvcBpk1Bnx8zWUH8YuJbqH9ImIIGDM/NnEXEOVXj8GliQmYdGxFHA3wEHAcuoZsajBcTtwIsjogd4NXAm8B/AnwL7A9fWbWtGeU0i4qXA4VS3uZzH/78t4H2Z+a56FvK+zDwiIr4HnFhwoMMkjllmPhkRX6LaiV5GdceulcNWewNwFXAe8JfAomHtewIrgF8AG+qAH1FmNiLiWqqAvw44MyIWUe2IHpplgT6ZO2uAO4B9I+JpmbkFeDvVGL9glPV/n2qnPZKnU43vtOaJUlhM9Q/linpWdii/HfDb67+3AHdm5hDVgM8frbP67k93UM3EHsjMQWA98CrgYKqZ/FivCbAfsDEzt2fmE8B3m9p23iL9AaoZ/GzU0TGrrQFWRMRzqQ4F3Das/R+oZuFfB95MvQNuckdmPpqZ26kOve07kTdS1/evVLPJY4HPTWS7gjwMXAKcT7WzXgMcmZmHAPdRBT5UO+sjgHOBk4AjgeOZ2C0zrwLeWE+mDgRuHdZ+fURsjIif1u3vbWq7NCK+VZ8r+z3gn3b5HU6x2RzqO6je/0PAT4HlmbmMapbwzXqdVr9D4QaqGfr6+vnNVIdeyMyfj/OaAD8EXh4RcyKiF/ijpraRatr5Xko3aWOWmT8AFlDN6C8eYZWjgUsy80+oxuf4Ye37RcSeEbEb8Ip6nbE0j9k/A2+h+p/d11qpvxCTsbMGWAccRfXzHelLBA/NzAOBS6kOzfysqe2YzFyWma/JzJMy8/FdfE9TbjYEwWgawN8Ah1D9In+1vmH2u4GBNvu+gWpW/jWA+rDIFupjhvVsftTXrAPma8C3qW7m/Wt+d2bY7FaqGcXT26x7upvMMYMqzI8D/m2Etk3Av9RXL72GKgCa/ZzquO2twJWZuXmc1/oO8NGI2C8z7wMeB76emdvaeQMz1GROsMjM/6QK61Oo/lc0mpXAc/ntyewZyS/0mobqk2dvzswL65n6D4HXjHRZncoQEdcA78nMu7tdy1RpOnF8DtVhjZOBpwAfoAr5x6iuSjqC315AcBjV1SzviIiXAR/NzMNG6X8Z1bmmoyLib4EVmXngsD7urfveeaL0hVSz+X6qGf6JO0+UzhSGeosi4kKq64+HO7w+Dt5O33Oojq32Uc1Qrtp5eZxaN5lj1qqI2J3q8Ny1mXlWN2pQWQx1STPadNxZd5OhLkkFmc0nSiWpOIa6JBXEUJekghjqklSQ/wM12x+X1W16ngAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df[['Item_Weight', 'Item_Visibility', 'Item_MRP']].boxplot()" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:18.809510Z", "start_time": "2021-02-16T07:32:18.579643Z" }, "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df[['Item_Outlet_Sales']].boxplot()" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:19.043376Z", "start_time": "2021-02-16T07:32:18.813506Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df[['Outlet_Years']].boxplot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Relationship between Parameters " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Item_MRP" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:19.491120Z", "start_time": "2021-02-16T07:32:19.051369Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\affine\\AppData\\Roaming\\Python\\Python37\\site-packages\\seaborn\\_decorators.py:43: FutureWarning:\n", "\n", "Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "p=sns.scatterplot(df_main[\"Item_MRP\"],df_main[\"Item_Outlet_Sales\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Item_Visibility\n" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:19.507110Z", "start_time": "2021-02-16T07:32:19.497115Z" } }, "outputs": [ { "data": { "text/plain": [ "array([0.0160473 , 0.01927822, 0.01676007, ..., 0.03922186, 0.02158192,\n", " 0.128206 ])" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_main['Item_Visibility'].unique()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:20.143746Z", "start_time": "2021-02-16T07:32:19.510110Z" }, "scrolled": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\affine\\AppData\\Roaming\\Python\\Python37\\site-packages\\seaborn\\_decorators.py:43: FutureWarning:\n", "\n", "Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n", "\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "p=sns.scatterplot(df_main[\"Item_Visibility\"],df_main[\"Item_Outlet_Sales\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Outlet Years" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:21.019241Z", "start_time": "2021-02-16T07:32:20.147746Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\affine\\AppData\\Roaming\\Python\\Python37\\site-packages\\seaborn\\_decorators.py:43: FutureWarning:\n", "\n", "Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "p=sns.barplot(df_main[\"Outlet_Years\"],df_main[\"Item_Outlet_Sales\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Outlet name" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:21.439001Z", "start_time": "2021-02-16T07:32:21.022243Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "temp=df_main[[\"Outlet_Identifier\",'Item_Outlet_Sales']].groupby([\"Outlet_Identifier\"]).agg({'Item_Outlet_Sales':'sum'})\n", "temp.plot(kind=\"bar\")" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:22.123611Z", "start_time": "2021-02-16T07:32:21.441999Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Outlet_Identifier vs Item_Outlet_Sales ')" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (14,9))\n", "sns.boxplot(x='Outlet_Identifier', y='Item_Outlet_Sales', data=df_main, palette=\"Set1\")\n", "plt.title(\"Outlet_Identifier vs Item_Outlet_Sales \")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Item Type\n" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:22.153591Z", "start_time": "2021-02-16T07:32:22.126606Z" } }, "outputs": [], "source": [ "x,y,z = df_main[df_main[\"Item_Type_Combined_0\"]==1],df_main[df_main[\"Item_Type_Combined_1\"]==1],df_main[df_main[\"Item_Type_Combined_2\"]==1]" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:22.262538Z", "start_time": "2021-02-16T07:32:22.156591Z" } }, "outputs": [], "source": [ "df_pie = pd.DataFrame([[x.shape[0],y.shape[0],z.shape[0]]], columns=[\"Item_Type_Combined_0\",\"Item_Type_Combined_1\",\"Item_Type_Combined_2\"])" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:22.400471Z", "start_time": "2021-02-16T07:32:22.265527Z" } }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " Item_Type_Combined_0 Item_Type_Combined_1 Item_Type_Combined_2\n", "0 482 3609 914" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_pie" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:22.633319Z", "start_time": "2021-02-16T07:32:22.403450Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "D:\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:2: MatplotlibDeprecationWarning:\n", "\n", "Non-1D inputs to pie() are currently squeeze()d, but this behavior is deprecated since 3.1 and will be removed in 3.3; pass a 1D array instead.\n", "\n" ] }, { "data": { "image/png": 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xld7UvGF5Hx9643k8LYvvNNVS5Y3jj+k5uA2D/EAfN7Q2fuI3cgh4ID2HOo8XF3BTSwN5wQDvxyfyRGomWcEAdxyoxwU8lJbNMn8rOcHAsNR9ghKB3wHn2VmEk0nQHd/yMy6ZfbnL7XLbXUh/PB6X984FewLfXj8zZOD+RAs9FJdE7cIvfGJ7/6jDKy3SlT2B6iUTjrnfphmfOfx9Z+4kOnOHr0HyT186G5J8xBvmWt7/l5LBZQdbmNPTyW8zctmUkMSp3Z2Ht38vwbwT1nebatkWl8CjadncfWA/LyWn8Y2mOp5IzWCvNw63AQlGyO6QO+Tccp/nS/P8gYfsLsSJpOt6DMUlReNPO1O/Mjs/rWjgre2Xl+3N+dzEnVE78T830MdXm+sP///4vl78LhcG0KW5cFsBeMhp3Z1c32qOsGnyeEkLBQEz1Ho0jR7NRbxh8ExKOhe3t47Y+zgB95f7PDkDbybCTYLuKMUlRVpCUtzlc8+YstTuWgbjnJnBsROTGk9ofF2kmd/dgZuPwywv0Mfa9GzuyR3DQbebaT3dn3qNG/hdRi4Pp2Uzv8u8+Ly8vYW16dnkBvqod3sp6u3mzUQff0zPpjIuIiYqZAE/sLsIJ5Kg+7TSsy8vXm73wODBcrk0122Laj0e+iKin3YyHknL5j8ba/hpwz5KO9t5LC3rmNvd0tLAz+r38kB6Dt2axqhAH3cdqOdifyuvJaewuNPP5oREvtTaxD9SPnUK0y7Xlfs8ETEe00kk6I5QXFKUmF2QduHE6YWL7K5lKNJTPRlfnrajxu46TlZyKEiiNWwmPRikw/XJH9MNiT6e9plXkOOMEC7AdUTvdl1yKks6zbWFDDQ0oEeLmB91D/Aju4twmoj5248Ql5Qum3mWXXNZw2GBro2bmVpbZ3cdJ+OG1kZ+nZHHD7ILeTk5lc8eNIfA/C4jlya3h9O6O9jjjef72YX8JLuQL7Q1EWd1fTs1je1xiZza3UmyESItFOC/c0ZxRsdBO9/S0S4r93mi8pdptNKMo070OlVxSVFWTkHat6++4+w7I/1K60A6OgP+b7w41dMVih944n8YPPjI16tP6WiOyLGGEWz9PH9gRG/15WTSovvYZ5ZcNGtJtIccQHKSx/eVWTui8sKEgywp93kutLsIp5Cgw5y0nzc6Y/6oidnFdtcSLqdM8IxZnD3wxH9hq2/aXYBTSNCZlpZcMKPE5Yr+1tyRvjD/YE7aABP/ha1K5NbrI8PxQVdcUpSfmpE0u3BC9hy7awm3+Hh3wh1zKyPqLLz4WMjj3l3/pZLP2V2HEzg+6ICzFi6dXhzNV1r7M6HQW3h+YeVxJ/6LkXcgOb5e3XBG1ban7xrf9PlFt63ZcK9M+B9mMfmP+0QVlxT5XG5t+sRpBfPsrmU4XTa3u7CiqbW1vjc9feCtxXAIGRgN+Wk1zTeekUDplDwwlw2z/rgTuMu+6mKf01t0ZxaXFk2OT4xLtbuQ4eTxuLx3LdjTixGSsUQjLAC9e/WCPVt/80V/80M3jqZ0yrEWO1+5ZsO9iSNenIM4tkVXXFLkBmZMmzvuNLtrGQl52d7cz01Ue/6ye9p4u2txgi5N89eWFDV13np2oSvTN36AFkUqsBz480jU5kSODTqgODs/LS8zN8Ux50fOnRUcu3F/U9PuruxjtSpEGByM8zTXXVzc2Xvt4lGueO9AAXeka5GgGzZO7roWzy6ZNE3TNM3uQkaKOfG/xh0LE/8jiWEYNKYn1W6987z9+57+albgxjPGuOK9g/23dd6aDfcWDEuBwpktuuKSolRg3NjJuafYXctIy0jzZKycqqoe2DFjnN21RLsgBPePzappufXsVG3OuMKT3J0bWIG5HqwIM0cGHTA/f2ymLzVC14IYbgunMu6t2tq6Dw4WSgtiCHqhq2bOuHr/7efkukZnjg1jl+BaJOiGhVO7rlNmLZzouNbcIZqmcdOiRl+Cq6fH7lqiSYfb1Va5dEaV+tvt3s7VV413jc5MCvMhZq7ZcG9U3NU62jgu6IpLijKAUaMn5Tg26ACSkzwpt8zc0WB3HdGgJTGufvu1pTW7n/pqau/d549zpSQMZ09o2TDu27Gc2HVdkF2QlpCSnuT4btvMiZ4xi6qrqt9sHufILnx/QgZGQ25qTfMNp8dzxtQjB/gOt2XAL0fmUM7huBYdMFmfM+bYS1850BcXtGWlujs77K4jUgSgd29RftXWX63wN6+9aTRnTB3pxWzOWLPh3nB3iR3PUUFXXFKUBOQXjs+eaHctkSI+3p14x9ydbXbXYbduTfPvWjR5z/a1Nxvt/+8L41x6QYpNpcQD59h07JjltK7rTCCUlZ8qQXeEiaO8hZ8p+LDqX3WTHTfkpN3rbq69aE5H37Wlo7XEQQ3wHU7LgGfsLiKWOC3oxo8tys2MT/Da9ds6Yl1+Wldhxb/aWht60xwx8b8pNbGuYcUijEtPLQCyImzUuNxiPcwi5BfYiBk96ZRCOT93DObE/90xPfE/BMHa0Zn7PvjBFQfq/3pbgRVykWjqmg33xvSNJkaaY1p01rCSrJzCdLnCeBz52d7cqybs3PO3PVPH211LOPVBd82sMfvbbz831zU2a0yEtd6OxQWcBqyzu5BY4Zigwzw/15uamRypv8UjwtLZgbEb65uaqmJg4n+n29VWc+a01p6bzyzUUhMj5fzbiVqABF3YOCno8uISvJ7E5PhjL/suAHPi/+2Lql3fXJcWCOCNyp+P1gRvQ92V83qDVy8cpXlcaVHQgjuWBXYXEEui8gd5iLLHT8nLdbkiZ8n2SJWZ5s38kq72PKhmjLe7lhNlGIbRkJNa23Td6V7OnpYLIzbAd7hI0IWRI/7RF5cUuYCc/HGZ+XbXEi0WTWP8Kal1++2uYyAB6Ns3Kbfqg/9Z0d70yM2jDoVcDMhfs+HeTLuLiBVOadFlAYlZeWkSdCdI0zRuWtiQ/I2XMnu6Q/HxdtdztB5N66iZN7Gx4/Zz8l25qeNi9Dd2EfC23UXEAqcEXRHQm5KeGPUn2EeSL9mTcvMMtfeXm2eNtbuWQ9q97gN158/y915XOkpLjI+2CwyDNRkJurBwStBlA0ZCUlya3YVEm1mT3GMXVO+tfvvAWFuH5TSnJOyvv2aREbq0uEBzuTKj/PzbiZpsdwGxwilBlw4Ql+CVQZhDcO3C1qzt/8ruOBhMSh7J44YMQvtHpVcfuOVsnzZ/Yj5E/QWGwZKgCxOnBF1yerYvKVYXqR5uCebE/5r7Ns4ZkaDrg56aU0bVtd9xXo5rfHY47+AbbSTowsQp//BTsgvSpNt6EiaO8o46r+DDvS/WTR6283VdLu1gzRlTW7puOavQlZYU6+ffTsQouwuIFTEfdNb6rb6MbJ8E3Um6Ym5X/qZ/H2xr7E0N62fZFu9trLtsbndgxcLRmteTKgF3mAwvCRMn/EylAN6klIQRPb8Ui7xeV9xd8z/qDsfEf8MwaMhMrtm66oKG6qfuygmuLB2jeT0O7qUeU/KaDfd67S4iFsR8iw7IA4LeOE+c3YXEgoIcb94V43fueaJqaBP/gxCom5BT23rbOWnajNHSNRtYJlBvdxHRzglBlw4EvHFuCbow+czswJjy+ubmvd1ZJzxvuEejs2buhIaO287NcxWkOfkCw2BJ0IWBE4LOC+DxuqULECZut+a+Y9E+7ZuvpAYDeN39bev3uFpql85s77nh9FGupJgf4Dsc5DxdGDgo6KTrGk6Z6d7MlRO21D2w+9g3rzzgi9+//+qFodDlcws1lytDAm7IZKGcMHBQ0Lkk6MJs4ay4/Hfq9x2e+B8yCNUXpNU033RWorZ4shMH+IoI5Zigc7lc0qgIM82laTcsbkwKPeQ+UDW2cM/BO87Ldk3MiYY7+AqHcUzQhUKhkN2FxKLElPhUY+0XUvxuudGfiFyO+dkMBY2g3TXEKs3tkkaciGhOCLogQDAYCthdiBDCHk4IuhBAKBSSFp2IRr12FxALnBB0QZCuq4haB+wuIBY4JugCfcE+uwsRYggk6MLAMUHX6e/2212IEEPQbHcBscAJQdcH4G+ToBNRp3Nl6epuu4uIBU4IujbAfbClo93uQoQYJOm2hokTgm4/4G1r9kuLTkSbRrsLiBVOmBnRDgQPNLT3GoZhaJomg1tFtNhtdwGxwgktum6gLxgIhfp6Ah12FyPEIEjQhUnMB11FWaUBdAB0+nvkCpaIJrvsLiBWxHzQWfwA/rauJrsLEWIQlN0FxAqnBF0LQGuzX4JORJMddhcQKxwVdI01rXLvfREtWleWrq61u4hY4ZSgawRceysbJOhEtCi3u4BY4pSg+xDwtjb7O3u6+2TgsIgGb9tdQCxxStC1Y12QaG3y77O5FiFOxFt2FxBLHBF01hCTRoD6fQf22FuNECdEWnRh5Iigs9QB7Nmxv8ruQoQYwK6VpatlhEAYOSnodgGe3Wp/Q19voMvuYoTox5t2FxBrnBR0lUAIA1qb/XvtLkaIfrxgdwGxxjFBV1FW2YfVfa3f17LH3mqEODbDMEJI0IWdY4LOUguw/d0qmVojIpKmaW+tLF0tc7LDzGlBtwvw1O5pbvEf7JLBwyIS/dPuAmKR04JuO9ADULenWeYRikj0rN0FxCJHBV1FWWUQ6x5f29/bu93mcoQ4WtXK0tWb7S4iFjkq6CwKcO/eXlff1dEj9+QXkeQRuwuIVU4Muk1AAKB2T/M2m2sR4kgP211ArHJc0FnDTKoAKtZXVhiGYXNFQoBhGG+uLF290+46YpXjgs6yDXDX7G460Nrkl/vyC9tpmvaQ3TXEMqcG3btAF8DO96vftbkW4XCGYXQDf7G7jljmyKCzrr7uAHj3NbWjryfQaXNJwsE0TfvbytLVrXbXEcscGXSWMsDT1xsMVn/UuMnuYoSj3W93AbHOsUFXUVZZD+wDKH9lR3koZIRsLkk4kGEYL60sXf2+3XXEOscGneV9wF1XdaC1ft+BD+wuRjiPpmk/tbsGJ3B60JVj3WL9rRe3rTdkrIkYQUbI2LKydPW/7a7DCRwddNZFiY2YK4Q1NdS0yrQwMWI0l7TmRoqjg86yHmuoydsvbX9dGnViJISCoZ3AY3bX4RSOD7qKssoA8B6g7d5eV99U1yb3qhPDzuV23bOydHXQ7jqcwvFBZ3kF6APY8NyWl+QKrBhOgb5g+crS1U/ZXYeTSNABFWWVvZizJbS9lQ1NeyvrZZV0MWw8XvdddtfgNBJ0H3sJ6ARY92TFq7JSmBgOwUDwnytLV8sqXyNMgs5i3dVkHeBub+ns3v5u1St21yRiSyhk9Lo97rvtrsOJJOg+6R2sBXRee+b9dzrauxttrkfEkFAwdN/K0tWVdtfhRBJ0R6goqzSA5wFXKGgYZc9/8IwMIhbh0NvTt8vjdf/I7jqcSpN/x59WXFJ0DTAF4JIvL146YWrBIptLGrTNG6rY8oa5TnegL0j93ja+9O0z+Pdjm3G5NNweFxdfP5fktIRPvbbmowO8+vetrLhnCQC7ttSz/qntpGYmctkt89FcGv969H0WfGYy6dnJI/q+opFhWnjd6T/ZaHctTiUtumN7EugFeOHP5es6/d1Rt87mrNJxrLhnCSvuWUL+uHTOu2YWL/55M0uvmcWKe5agn1rIm89/+oa2bz2/k+fXVBDo+3iI13uvfMTVdy8mJT2R+n1tNFS3EZ/gkZA7QT3dfQ9IyNlLgu4YKsoqu4DnAHdvd1/g9Wc2P2mEorPpW7enhabadorPmMDym+eTNzYdgFDIwON1f2r79JxkLr9twScei0vw0NcTpK83gDfezZvP7WThBVNGpP5o19cTqEtIjJMLEDaToDuOirLKTcBOALVpX83uHXVv2FzSkLzxrKL0kqkA+NLNbmr1h828u24X85dO/tT2U08bhcutfeKxkot0XnxsM2nZybQ0dDB6chbbNlbzwsMVVH8YdY3dERMKhYLApStLV/vtrsXpJOj69zesBa9f+PPGVw62dNbaXM+gdHf20lznZ9zUnMOPbdtYzQtrN3HVXYtJSok/of1kF6Zy+W0LWLRsCpvXVzF9wWh2f1DP0hWzKfunzJg7noMHOu+78ZyfyeDzCCBB14+KsspuzJXTXX29weBzj7z11+6tEXAAAAyFSURBVGgaSLxvZzPjp38cch+8uZd3133Eiv9YQkbO4M+vbXptNzNLxgJgGAZoGn09gbDVG0v8bV1lX13+6+/aXYcwSdANoKKscjPmDTpd9dUtbWXPf/D3aBly0ry/nXQr0EIhgxcf20xvd4D/++3bPPqT9bz+D/OuVM888A5tzf0vm9HT1cde1UTRnAISk+NITktg7Y9eY/aS8cP9NqJOb0/fgbh4z8V21yE+JsNLTkBxSZEbuAXIATj/6nlL9OKxZ9tblYhEoWAo0NHefc4dF/3qdbtrER+TFt0JsG7QuZZD5+v+Ur6+qa5NFhsWn9JY1/YNCbnII0F3girKKg8CTwAuDHjywQ1P+Nu66u2uS0SOhpqWR75x9f/+3O46xKdJ0A1CRVnlTuBVwN3Z3t371J/KHu3p6j1oc1kiAhyoP7jho21119pdhzg2CbrBewX4AHA11bW1P//njY/09QW67S5K2OfggY6dzQ0Hz/vdfz8tJ7wjlATdIFkT//8G7AW0KlXf+PIT7z0aDIT6bC5N2KC9tXNvXVVz6X1feUR+2UUwCbohqCirDAEPAU0AqmJf9fpnN/8lFAzJGgAO0t7aWb3l7d2n/+iOx+R2XhFOhpechOKSokTgViAFYNaiiRNPv2j21W6Py2tvZWK4+du6aja+vP2ch3/+b5kaEgUk6E5ScUlRGnATkAww/bRxY8+6rHiFx+OOs7cyMVz8bV21G9ftOPfh+/8l6wBHCQm6MCguKUoFbsRq2U2ZPXrUuVfN/YLX6/n0zd5EVGtv7ax+51V1/kM/+9dWu2sRJ06CLkyKS4qSMVt2aQCTTinM/8zn5n3RG+9JsrcyES5NdW3b1z+7+ZKn1pR9aHctYnAk6MKouKQoATPsMgEKxmWmX/jFRdckpyTk9P9KEen2fdjw5rNr37r6rZe37bW7FjF4EnRhVlxSFAfcAOQDoeTUhPjl15dekZ2fVmRzaWIIDMNg5/v7nnnhz+VfqiirbLG7HjE0EnTDwLoJwNXAVCCouTTtki8tXjp+av5Cm0sTgxAMBHs3le1as+G5LXdWlFX22F2PGDoJumFSXFKkAecApwMhgNMvmnXq7JJJy1wu16fvYS4iSsfBrsbXn9n8k52bq//HuqmDiGISdMOsuKRoFrAca3D2pBmF+WdfVnxlki8hy97KxPHU7ml6/1+Pl3/3YEvn09ZMGBHlJOhGQHFJ0ShgBZAEkJgc573wCwsvGDUxp9jeysSRgsFQYPObu55+/ZnN36koq5QxcjFEgm6EFJcUxQNXYZ63CwAsOHfa9NPO1C/2eN0y3s5mB1s66zY8t/mBys01P7NuySViiATdCCsuKVoAfAarK5s3OiPtvM+ednFWXuokeytzpmAwFFAVe1995R+bfh3oCz5jzWMWMUaCzgbFJUU5mFdlc7AuVCw8b/opxaWTz49L8PpsLc5BWpv8e9c9WfH4vg8b1khXNbZJ0NnEGoKyFDi8WrQvLTH+vKvmnjNmcu5pmqZpx3+1OBl9vYGube/seeW1pzc/aBjGMxVllXKLrRgnQWczq3V3GTAW69zdlFmjC0uWzViWmpE8ytbiYkwoFApWqfqNrz616dmDLZ2PV5RV7rK7JjEyJOgigDXm7jTgPODwXU9OO0ufOmfx5LOSUxNybSsuRtTva9n62jPvv1hX1fwS8K+KskpZkNZBJOgiiDVX9iJgJmAAaC5NW7R0+swZ8yecmZgcn2FrgVGopbF999svbX9Fbdr3MvBsRVllm901iZEnQReBikuKMjGvzE7Duljh8bpdJRfMKNbnjFmcmByfaWuBEc4wDKOxtnVH+SvqzQ+31LwFvFBRVrnP7rqEfSToIlhxSVE+ZuBNBsxpSBqcumTKlBnzxy/MyEmZYGd9kSYUCgVr9zS///aL296u/qjpA2B9RVnlFrvrEvaToIsCxSVF4zDnzBZhtfAAJkzNz517pr6wYGzmTJfb5bGtQJt1dfQcqFL1Fe+8qj5orj+4BTPgZIFxcZgEXRQpLilKB87EPIfnwTqP50tLjC8unTx9wrSCWenZvnFOGJoSDIT66vcd2Lr1nT0V296pqgZ2Aq9JF1UciwRdFCouKfICpcAcIAtrWApATmFaypySyTPHFuXN9KUl5ttV43AIBUPBAw3tu/ZW1m9/97WdOzv9PfXAdmCDTNsS/ZGgi2LWsJRxwKmAjrlAz+HQKxyflTH11LFTCsdnF2Vk+8ZFY/e2t6evo6m2rbKqsqFyy9sffdjl7+nFbL29C+yUu4uIEyFBFyOKS4pcwHRgFjAJiOeI0ItL8HqmFo8ZO25K3sSsvNSxvrSk/EhclrG7q7ettdG/r6G2dd/eyvq9u7bWNmIQBKqASqBcboIpBkuCLgZZ08t062sc5pzaANY5PQCXW9PGFuXljJ6YU5hTmFaYnu0rTE5JyHGP0DKNRsgwurt6Wzvau5vaWzqb6qtbqj/aVruvsbatHXPQdCtmuH0IbJZpWuJkSNA5QHFJUQowGxgN5ALZgBv4VHikZ/uSckelZ2TmpqanZiZlpKQlZSQkx6V4ve4Ej9cT7/G6Etwed7zb44o/1jUPI2QYIcMIBnqDnb09fR29PYHO3u6+jp6uvs6ujh5/S5P/QENNS1Pt7qYDfb3BIOZdXFxAM1AH1AI7gEbplopwkaBzIOtixlhgAh8HXyqQiBk6A3YNNZemJSR6PcGgYYSCoVAwaCZcPy9xY14p7gRajviqA3ZUlFV2ncx7EqI/EnQCOHxhIwEz+Aox16f1YZ7rizvGn4d+cELW94f+7AG6jvHVDOwB/NJSEyNtUEGn6/p44HHMVekzlFKvh7MYXdfvB+ZiLhWYBHwENCqlrgrncY465nLgLkDDbNH8VCn195PY3/eA/Uqp3x31+P8ppS4/if2eD1ytlFo5wHYLgB8rpc4c6rGEiDVDHW5wBbAfCGvQKaVWAei6vhKYqpS6N5z7P5qu64uBrwEXKqX8uq5nAW/pur5NKbUtnMc6mZA7Ubqu3wN8EegY7mMJEU2GEnRZwEqgV9f19zBbQfdhzsXcBdyMuRDMxdZzBcAvgUuBGcDXlVJPDeaAuq7/EKhRSv1G1/UM4CVgFfBtzC5TPvB76/mZwK8wW2jNwHVKqePdseJG4BdKKT+AUqpZ1/X5QKuu6+nAI5jnrjzAd5RS63Rd34IZ8DMBBdRjTs/qAZZZ+71M1/XPYrZK71RKbdR1fb9SKl/X9VeBTdZnkQpcpZSq0nX9DuAazO7f40qpX+m6Pg34I2ZwdWCe0+rPLuByYO2AH6oQDuIawmuagTXAz4Fy4A/A5UqpM4AazBAESFFKLQN+DHwF8x/gTcCXh3DMB4Brre+vAR61vh8FXAIsBL6m63quVc9tVtftOeCefvZbiNk9Pkwp1aKUMoDvAC8qpU7HXNTmQV3XXUAK8Jj1+BLgDev7OOAUaze7lVJnA9cDn+jCWjYqpc4FXgQ+r+v6dOBzmLMdSoHluq7rwPeB/7K2fWOAzwil1BMc40qqEE43lKA7Ug5mi+2vVktlKebVPIAK689WYLsVHi2YJ7wHRSn1EdBuBcIK4GHrqTeUUj1KqS7gA8yBstOA31r1XIcZZsdTBYw58gFd10t0XZ9s7ed16/g1wEHr/QK8d8R7O9TFPfK9HXrdVszW5tEOfTb7rNfMwBzv9jKwDrPVPBkzODda25b18z6EEP0YatCFrNc2AdXApVYL6j7gFWubcF9Z+wNmK6taKdVkPTZH13W3rutJmKFQidmdvNaq5x7g2X72+SfgP3RdTwawWoR/wuxybsdssaHr+iggA7M1CwO/t/nW62YCe4/x/NGvV8BW4Cyr7jXAFszxZIusbeYNcEwhxHEMNejeBW4HzsC8YvmsrutvALditqyGw5OYtxp/8IjHvMDzwHrgB1YAfgV4WNf19cBqYPPxdqiUehP4PfCiruuvAf8EvqmU2gz8EDhb1/XXgX8ANymlTvT22xN0XV+H2W29eaCNlVLvY7bmNui6/g7m7ZhqMD/Pb+m6/jJHLKIjhBicqBlHZ7XaXgMWKKVCuq6fCdyilLra3sqEEJHOlrtZ6Lr+W8wJ6Ee7wDrfdvT2i4H/Bb6tlBrUAsO6rscB/z7GU0opNWBrK9IM9rMTQkRRi04IIYbqZK+6CiFExJOgE0LEPAk6IUTMk6ATQsQ8CTohRMyToBNCxDwJOiFEzJOgE0LEPAk6IUTMk6ATQsQ8CTohRMyToBNCxDwJOiFEzJOgE0LEPAk6IUTMk6ATQsQ8CTohRMz7/9TLvo00cuW3AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.pie(df_pie, labels=df_pie.columns, autopct='%1.1f%%',\n", " shadow=True, startangle=90)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:22.665320Z", "start_time": "2021-02-16T07:32:22.636316Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Item_Type_Combined_0 482\n", "Item_Type_Combined_1 3609\n", "Item_Type_Combined_2 914\n" ] } ], "source": [ "column= [\"Item_Type_Combined_0\",\"Item_Type_Combined_1\",\"Item_Type_Combined_2\"]\n", "for col in column:\n", " print(col,df_main[df_main[col]==1][col].value_counts()[1])" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:23.440854Z", "start_time": "2021-02-16T07:32:22.668299Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(20,7), facecolor='white')\n", "plotnumber = 1\n", "for column in [\"Item_Type_Combined_0\",\"Item_Type_Combined_1\",\"Item_Type_Combined_2\"]:\n", " ax = plt.subplot(1,3,plotnumber)\n", " sns.countplot(x = column,data = df_main,ax=ax)\n", " plt.xlabel(column,fontsize=20)\n", " plotnumber+=1\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:23.704726Z", "start_time": "2021-02-16T07:32:23.444851Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ], "text/plain": [ " Item_Fat_Content_0 Item_Fat_Content_1\n", "0 3277 1728" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_pie" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:24.076831Z", "start_time": "2021-02-16T07:32:23.863610Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "D:\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:2: MatplotlibDeprecationWarning:\n", "\n", "Non-1D inputs to pie() are currently squeeze()d, but this behavior is deprecated since 3.1 and will be removed in 3.3; pass a 1D array instead.\n", "\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.pie(df_pie, labels=df_pie.columns, autopct='%1.1f%%',\n", " shadow=True, startangle=90)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Outlet Location" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:24.140793Z", "start_time": "2021-02-16T07:32:24.082826Z" } }, "outputs": [ { "data": { "text/html": [ "
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sales
Outlet_Location_Type_02.712625e+06
Outlet_Location_Type_14.027673e+06
Outlet_Location_Type_24.440188e+06
\n", "
" ], "text/plain": [ " sales\n", "Outlet_Location_Type_0 2.712625e+06\n", "Outlet_Location_Type_1 4.027673e+06\n", "Outlet_Location_Type_2 4.440188e+06" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x=df_main[df_main[\"Outlet_Location_Type_0\"]==1]['Item_Outlet_Sales'].sum()\n", "y=df_main[df_main[\"Outlet_Location_Type_1\"]==1]['Item_Outlet_Sales'].sum()\n", "z=df_main[df_main[\"Outlet_Location_Type_2\"]==1]['Item_Outlet_Sales'].sum()\n", "temp=pd.DataFrame([x,y,z],index=[\"Outlet_Location_Type_0\",\"Outlet_Location_Type_1\",\"Outlet_Location_Type_2\"],columns=['sales'])\n", "temp.head()" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:24.592538Z", "start_time": "2021-02-16T07:32:24.144792Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "temp.plot(kind='bar',rot=10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Sales by Product" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:24.607532Z", "start_time": "2021-02-16T07:32:24.596535Z" } }, "outputs": [ { "data": { "text/plain": [ "array(['FDA15', 'DRC01', 'FDN15', ..., 'FDZ43', 'FDJ50', 'FDV35'],\n", " dtype=object)" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_main['Item_Identifier'].unique()" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:24.731456Z", "start_time": "2021-02-16T07:32:24.610529Z" } }, "outputs": [], "source": [ "temp=df_main[[\"Item_Identifier\",'Item_Outlet_Sales']].groupby([\"Item_Identifier\"]).agg({'Item_Outlet_Sales':'sum'})\n", "temp['Item_Outlet_Sales']=round(temp['Item_Outlet_Sales'],2)\n", "temp=temp.sort_values(by = 'Item_Outlet_Sales',ascending=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Top 20 selling products" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:25.293462Z", "start_time": "2021-02-16T07:32:24.734455Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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sZrT/RUAV8Ez0+gzg68BqYI671wF1ZrYQ6EOo4K/N2fdiM+sBlLv7KwBm9gRwKPDXVI5KREQKihMAVgDXA78GPk+oxMvcvSF6fTnQE+jB2m6ilrbnblvWbN/dChWkpqYmRnHXqq6uTrT/hsijFMrQ1jzac9nTzqMUylAqeZRCGUolj1IoQzF5xAkALwMLowr/ZTP7gNACaFQBLCFU6BUFthfat1WVlZWUl5ev3ZCz1EE+VVVVrb5eKH0aeRRMn0YeaRxHM9XV1YnTbK55lEIZSiWPUihDqeRRCmUolEddXV2rF85xZgEdD9wAYGY7Eq7eZ5rZoOj1IcBsYB4wwMy6mllPYE/CAPEcYGjuvu6+DKg3s93NrIwwZjA7RllERCQlcVoAvwEmm9mzhFk/xwP/BSaZWRfgJeBBd19tZrcQKvIOwBh3rzWzCcBdUfp6wsAvwGjgHqAjYRbQc2kemCRTaEE60IJyIpubggHA3XMr7VwD8+w7CZjUbNsKYHiefecC/WKXVEpesauaisjGpRvBREQySgFARCSjFABERDJKTwSTkqJxBJGNRwFANit6PKZIfAoAIs1oSqxkhQKAyAaQRleWusNkQ1MAENlMqTtMCtEsIBGRjFIAEBHJKAUAEZGM0hiAiLQojRlRGswuXWoBiIhklFoAIlLyim1FpDEjanOc2qsAICLSjqQZRNQFJCKSUQoAIiIZpQAgIpJRCgAiIhkVaxDYzLYHqoGvAauAyYQHxNcAp7r7GjM7ATgpev0Kd3/UzLYApgLbA8uB49x9kZn1A26O9p3p7uPSPSwRESmkYAvAzDoDvwQ+iTaNB8a6+wCgDBhmZr2A04H+wGHA1WZWDpwMLIj2nQKMjfKYSHjQ/EFAXzPbL71DEhGROOJ0AV1PqLDfjn6vAp6Jfp4BDAYOAOa4e527LwUWAn0IFfzjufuaWQ+g3N1fcfcG4Ang0DQORkRE4mu1C8jMRgGL3P0JM7sw2lwWVdwQunV6Aj2ApTlJ823P3bas2b67xSlsTU1NnN2aVFdXJ9p/Q+RRCmUolTxKoQylkkcplKFU8iiFMqSRRymUIWkehcYAjgcazGwwsA+hG2f7nNcrgCWECr2iwPZC+xZUWVlJeXn52g3N1iRprqqqqvUMC6RPI4+C6dPIYyMcRxp56FwkSJ9GHjoXsdOnkcdGOY6EedTV1bV64dxqF5C7H+zuA919EPA34FhghpkNinYZAswG5gEDzKyrmfUE9iQMEM8Bhubu6+7LgHoz293MyghjBrNbPSIREUldW5aCOAeYZGZdgJeAB919tZndQqjIOwBj3L3WzCYAd5nZs0A9YeAXYDRwD9CRMAvouWIPREREkokdAKJWQKOBeV6fBExqtm0FMDzPvnOBfrFLKSIiqdONYCIiGaUAICKSUQoAIiIZpQAgIpJRCgAiIhmlACAiklEKACIiGaUAICKSUQoAIiIZpQAgIpJRCgAiIhmlACAiklEKACIiGaUAICKSUQoAIiIZpQAgIpJRCgAiIhmlACAiklEKACIiGVXwmcBm1pHwrF8DVgM/BMqAyUADUAOc6u5rzOwE4CRgFXCFuz9qZlsAU4HtgeXAce6+yMz6ATdH+85093FpH5yIiLQsTgvgmwDu3h+4BBgf/Rvr7gMIwWCYmfUCTgf6A4cBV5tZOXAysCDadwowNsp3IjACOAjoa2b7pXZUIiJSUMEA4O4PAydGv+4KvAdUAc9E22YAg4EDgDnuXufuS4GFQB9CBf947r5m1gMod/dX3L0BeAI4NJ1DEhGROAp2AQG4+yozuws4Gvg28I2o4obQrdMT6AEszUmWb3vutmXN9t2tUDlqamriFLdJdXV1ov03RB6lUIZSyaMUylAqeZRCGUolj1IoQxp5lEIZkuYRKwAAuPtxZnY+8BywRc5LFcASQoVeUWB7oX1bVVlZSXl5+doN015sdf+qqqrWMyyQPo08CqZPI4+NcBxp5KFzkSB9GnnoXMROn0YeG+U4EuZRV1fX6oVzwS4gM/uBmV0Y/boCWAPMN7NB0bYhwGxgHjDAzLqaWU9gT8IA8RxgaO6+7r4MqDez3c2sjDBmMLtQWUREJD1xWgAPAXea2Z+AzsCZwEvAJDPrEv38oLuvNrNbCBV5B2CMu9ea2QTgLjN7FqgnDPwCjAbuAToSZgE9l+aBiYhI6woGAHf/GPhOnpcG5tl3EmHKaO62FcDwPPvOBfrFLqmIiKRKN4KJiGSUAoCISEYpAIiIZJQCgIhIRikAiIhklAKAiEhGKQCIiGSUAoCISEYpAIiIZJQCgIhIRikAiIhklAKAiEhGKQCIiGSUAoCISEYpAIiIZJQCgIhIRikAiIhklAKAiEhGKQCIiGRUq88ENrPOwB1Ab6AcuAJ4EZgMNAA1wKnuvsbMTgBOAlYBV7j7o2a2BTAV2B5YDhzn7ovMrB9wc7TvTHcftwGOTUREWlGoBTAS+MDdBwBDgFuB8cDYaFsZMMzMegGnA/2Bw4CrzawcOBlYEO07BRgb5TsRGAEcBPQ1s/3SPSwRESmkUAB4ALg45/dVQBXwTPT7DGAwcAAwx93r3H0psBDoQ6jgH8/d18x6AOXu/oq7NwBPAIemcTAiIhJfqwHA3T9y9+VmVgE8SLiCL4sqbgjdOj2BHsDSnKT5tuduW5ZnXxER2YhaHQMAMLOdgenA7e4+zcyuzXm5AlhCqNArCmwvtG9BNTU1cXZrUl1dnWj/DZFHKZShVPIohTKUSh6lUIZSyaMUypBGHqVQhqR5FBoE3gGYCZzm7k9Fm583s0Hu/jRhXGAWMA+40sy6EgaL9yQMEM8BhkavDwFmu/syM6s3s92BVwljBrEGgSsrKykvL1+7YdqLre5fVVXVeoYF0qeRR8H0aeSxEY4jjTx0LhKkTyMPnYvY6dPIY6McR8I86urqWr1wLtQCuAjYGrjYzBrHAs4AbjGzLsBLwIPuvtrMbgFmE7qVxrh7rZlNAO4ys2eBesLAL8Bo4B6gI2EW0HMFyiEiIilrNQC4+xmECr+5gXn2nQRMarZtBTA8z75zgX6JSioiIqnSjWAiIhmlACAiklEKACIiGaUAICKSUQoAIiIZpQAgIpJRCgAiIhmlACAiklEKACIiGaUAICKSUQoAIiIZpQAgIpJRCgAiIhmlACAiklEKACIiGaUAICKSUQoAIiIZpQAgIpJRCgAiIhlV6KHwAJhZX+Aadx9kZp8DJgMNQA1wqruvMbMTgJOAVcAV7v6omW0BTAW2B5YDx7n7IjPrB9wc7TvT3celfWAiItK6gi0AMzsP+DXQNdo0Hhjr7gOAMmCYmfUCTgf6A4cBV5tZOXAysCDadwowNspjIjACOAjoa2b7pXdIIiISR5wuoFeAb+X8XgU8E/08AxgMHADMcfc6d18KLAT6ECr4x3P3NbMeQLm7v+LuDcATwKFFH4mIiCRSMAC4+2+BlTmbyqKKG0K3Tk+gB7A0Z59823O3Lcuzr4iIbESxxgCaWZPzcwWwhFChVxTYXmjfgmpqahIVtLq6OtH+GyKPUihDqeRRCmUolTxKoQylkkcplCGNPEqhDEnzaEsAeN7MBrn708AQYBYwD7jSzLoC5cCehAHiOcDQ6PUhwGx3X2Zm9Wa2O/AqYcwg1iBwZWUl5eXlazdMe7HV/auqqlrPsED6NPIomD6NPDbCcaSRh85FgvRp5KFzETt9GnlslONImEddXV2rF85tCQDnAJPMrAvwEvCgu682s1uA2YRupTHuXmtmE4C7zOxZoJ4w8AswGrgH6EiYBfRcG8ohIiJFiBUA3P01oF/088vAwDz7TAImNdu2AhieZ9+5jfmJiMimoRvBREQySgFARCSjFABERDJKAUBEJKMUAEREMkoBQEQkoxQAREQySgFARCSjFABERDJKAUBEJKMUAEREMkoBQEQkoxQAREQySgFARCSjFABERDJKAUBEJKMUAEREMkoBQEQkoxQAREQySgFARCSjYj0UfkMwsw7A7cDeQB3wY3dfuKnKIyKSNZuyBXAU0NXdvwJcANywCcsiIpI5m6wFABwEPA7g7nPN7Mut7NsRoL6+fp2Nn+7WudU/UFdX1+rrhdKnkUeh9GnksTGOI408dC7ip08jD52L+OnTyGNjHEfSPHLqzI759i1raGgo+Ac3BDP7NfBbd58R/f4fYDd3X9V83+rq6oOA2Ru5iCIim4sBVVVVzzbfuClbAMuAipzfO+Sr/CP/BwwA3gFWb+iCiYhsJjoCnybUoevZlAFgDvBN4H4z6wcsaGnHqqqqOmC96CUiIgW90tILmzIATAe+ZmZ/BsqAH27CsoiIZM4mGwMQEZFNSzeCiYhklAKAiEhGKQCIiGSUAoCISEZtyllARTGzAe4+O1pTaDSwL1ANTHL32PcKmNkIwl3J3YD/Ak+6++NtLNN2wAfuHntkPY3jMLOfuPsvzKwX8AtgnyiPM9z9vZh5dAV+DNQCU9y9Ptp+krv/Mu7xNMuzC9DR3T/ZhGX4MrCVu/+xLemjPBK/r83Sb+/u77ch3V7Aanf/p5mdC2wFXOfuS9uQVwd3X9OGdFcBV7j7iqRpo/TTgDPbcvwx8i5398K3zuZPuwXh3NYX3HltmjLgSOA9wIEbCfclXRT3e1astL8j7TYAAOOArwLXAt2Bh4BDgVuAU+NkYGY3A0uB3xPuSVgKDDWz/u5+cYz0PwR2Bh4FphHelC3N7JQEFU7RxwEcTaj4byZMrz0WGAz8OjquOKYACwmfiWfN7DB3Xwz8DxDrg2VmewBXAfVR+acAnczsQnf/fxupDEcBNxG+mLcQzs0SM/uau58fM4+i3tfoPKxzXGZ2LIC7vxyzDJcBhwBdo7vkFxJuhJwcHVOcPHYDxgNfBlZFFxkLgLPiloMwPXuwmZ3v7rNipsn1FeBxM/sFMLktQdTMvgncCqwExuR8lmYQvjtx8vgsocJ+F3iQ8N1YbWZnuPujMYvyC8KFYi9gW8Jncjkxv2dmdmJLr7n7r2KWoejvSK72HAAaHeDuB0c/zzCzJB/Sfdx9YPTz42b2iLt/08zi3nR2CjCIEECOdPeXzWxH4HdA0ivOYo6j0Q7uPi36+REzOytB2u3d/TsAZnY08HszG0y4RyOuScDlQE9C5bk3sIRwLuIEgDTKcCGhBdQdmA/s4u71ZjYnQR7Fvq9/BFYAb0dlN8KXs4GYFRYw2N0PjFpR/3D3YwDMbFiC4/g1cKG7P9e4Ibrp8k6gf8w8/gkcD9xkZhcT3uPHo0onjtcIAWsc8ELUIpgBvOruy2LmMYbQMi4DHjCzru5+F8k+F3cCPwN6EwLAHoTAPoPwWY1jb3cfEL0nNe7+GwhX3zHTf4EQKO5m3bInCYppfEeatOcxgF2iE7DUzHoDRF/SLRPk0dXM+kZpBxCuVnsRonwcK939Y8JVwKsA7v42yd7QNI7jS1FrppOZfdXMOpjZ8ATpAbpEXR24+3Tgt8A9QHmCPDpFV8gPEbpM3orOz8qNWIaOhPfjI2ANa9+LvIthtaDY9/XLwIvA1e5+CPA3dz/E3eNW/gCdzcyA/YHtzKyXmVUAWyTIo2tu5Q9h4cUE6QEa3P3f7j4MOIMQXJ80szcSpF/i7mcQgt8S4GLCSgBx1bv7h+7+ATAMOM3MDiHZ96yTuz8TBY6H3f39KAC1tPxMXlHvQD2hhY2ZfY6Yn093Pxv4FzDD3cfl/LssQRHS+I40ac8tgJ8C+xG+2EeZ2Z3AX4AfJchjNPArM9uJcLv08cD3CB/QOH5vZr8DaoBHzewJ4HDgfxOUIY3j2CPK4y1C8NoSOIZwPHFdTGhSDnT399z9JjPrRvwuJIDXzOw+wufqIzO7ktCt9k6CMsw2s0FFlOE+QqX9GjCL0LL7hGjl2ZiKel/d/X0z+w5wvZntn+Dv5roQuBf4K+Hq+e+EgHROgjz+bmZ3EI59KWHtraHACwnyaLqydPcFQKxutBxNfePuvgiYEP1L4jUzGw9c7O7LzexbwBOEMZG4PFqA8kR3HwVgZhcQuoTiOgm40sz+7O7/ibbdAJybII9jCa3TtkrjO9JEdwJHihgkGwgcBmxHGESe4+6PpV2+BOXZjtDl8JK7f5hCfrEHMM2sE6GCeZlwBQIpKUEAABH2SURBVH4W8CFwU3RFvcHLEO3fE2j8e0OAxe6eaC2pZu/rB8CzbXlfzWwU8MOcrsY2MbOtgBVtGLQ8ijDJoQdhAcY5wPS2DmgXqy0D4tHnaiRwf+NgtJntQOjeOjNmHh2Ab7r773K2jQQeKmKAu02D+znpEw9Ep12WdhsAoq6b24FPgAsav+BmNt3dkw6SVREGDRMPkpnZNoTKbhUhuq8Gpm7ML5iZPebuR5jZEYSBrueBvQhfkEdi5lH0+Yz2bzwfK4HjSHA+zOxKdx8TDaJOBT4DvA4c5+7/SlCGYYQmek9Cl8Ns4MEiZvEc6+5T2pK2rXLOxecJTfwdgf8AoxIM4GJm3wBqcwevzWxYbkVYIP22hKvOd4E/ELr3VhGC2l9ipF9vQJzwPYk9IJ6WFM5FvmP5AVAW51haGogmzNaLNQ6R834MJgT1xs/3uLYEgPbcBTSe0F3TGbjbzC5w95kkaxYWNUhmZj8idOEA/InQD/cx0Bc4LU4BzOweWhjAcfcRcfJgbb/w+UB/d19kZt0JTf9YAYAUzmcK5+MrOWU5y93nmNnehMD0tZhluI0QyGcQukwqCK2AwwjT5+LkcVWzTSPM7AsA7n5RjPTNK4omCSq9xnNxI+uei9uIfy5uJ7x/naIJAd/yMG3yDMKAdhx3EwbwdwGeBA4mDHBPBeK0aooeEE/jfKZ0LvIdy6+IfyxpDETfRXhPLmHt53soYbba4Jh5NGnPAWBl45tvZkMJA1MjSDYwlHeQLIy9xXIC8EVCN8Hf3H3HqDx/SlCGB4ErgZMTpGmu8RFBSwjdFbj7R2aWdOCz2POZxvkA2NLd5wC4+9/NrPDjnNaqzNPd8ntLNgtoW6CSUFGVEVpFniD9HcBuhBk0zWd7JBkIhuLORR93PwjCvSKEivwoks0Y6R4NnBL1O3v0c9zu0i8DE4EJ7v6kmc2KBsaTSON8pnEuij2WTu7+DPCMmR3SeMVuZkkGonv4ulOqlwH3mVncKePrFqgtiUrEMjM7Hfilu78bVVb3k2w0vNhBsg6EL+j7jW+AhSliXeIWwN2nR/3N27v7AwnKnmuxmf2DcIVzhpn9knAuCjbRc6RxPos9H3tEg689zewYwjTMMwldSrHLYNHNdY0bzOxg4s9Ewt1PsjC1byDhXozjGivBmL4OPAP8wN3fSpAuVxrnopNFN0t5uFFwFzO7JWE5PjSzscCV7n4oNPWd18ZJnNKAeBrns+hzkcKxpDEQ/b6ZXcL6dVbciRbraM/TQEcC2xBVUNEMhWNINsPhFEIXSd8obT9CU+yUmOmvAaqjAeTp0baZhK6l2Nz9zCIqf9z9SHffizBX+gGgDrjVw7SzuNI4n0WdD3ffCTg7yuc9wgXKtsD3E5RhFHCumb1pZm9ZmK54DqF1EpuHuyonAQ+z7pPr4qRdQZhhtkuSdM3yaOlcjEyQzc1AjZl9Kvr9PEJ34YAEeYwAljcbP9mJML4Ti7uvigZr36IN89XTOJ+kcy5yj6WxGyiJE4BHmk02eZNkz0IZSej6OZ9wc9yFhIuCYxOWBWjfg8AdgCMIH86ni8inglDR7UoYcHzI49+gst7sITOrcPflRZTnQKBLkmOy9e8wbADeBx7zlh+z2TyPKcCvks6WaZbHloRBtnXOB/Apd381RvpDvNndptFMlrHufnlby1UMC/eFDI+uGrfwmMtapPB3T/T4d4e2lMeWhHsh6nIrcDPb393zPiKwhXzKCH3/vQmV+CzCTU0r3P3fMdJv5e5LLEzfrIjKNM3jL3XyaXdv0xVus3y6sv652Nfdn0+Qx3bAEndfZWbfJ3S/3uPusVqYzdKPILSOk6T/ejQ2l7utjHCH9BVxj6NRe+4CmkCY5dHdzKrc/YakGUQzLB4mNK//TZg5c76ZHdXY11kg/YPu/u3o5yHuPiNp5W9h6YKJhCuBBwlXu0vMbL67x72T99N5tn2ZENjiXhk8BJwXDaLeQVhnJO7dno2WEK5Mbmzc4GHe9u+I11c70cx+4O7zoOnLMo1QYcRiZv9m/XGLMsINSbvFzGNXQqthMXBNVPkPJSwt8bkY6e/MKUMDYQzh/4C7Pf5U469Hf/N4b/t03iXA+e5+Y7Pt1xB/AHYHQqv4X4QLpCOB6wndFgU/W9Hneyzh83gJYcBzX8IMlttiHUWYBZV07KR5Odb7rgIkrPxPIbTKPjGz2cDnCa2zwcRomRWbPnK+mX3F3cdFefYifEf+G/c4crXnAPBFD7dldyZ8qBIHAMIH+Xvu3tTNYWb3Rtvj3Fixbc7PP43KkdQYwmyAnsDfCC2Rj0nwDOTGD0NzZhb7hjR3fxh4OPrCHws8FY0r/DJBq+DvhHVjqoAf+dqFuuI2lYcB0y3cxbw1YcbDre4+Pu5xELr0qggzNu4hVFpJ3UtYc2dX4DIzqwe+ReheiuO+Zr93J9xIti+hH78gd/+2mX0XmGVmP21+1RdTse8HhO/VBe7+VOMGM7uWMNgeZ9rhTwgzsCDcj3Ghhfs0niR+AEhDGt/VUYSWT3fgJWDn6Er+mY2UHsIMsGss3Jx4J2HtravcPVG3c6P2HABWArj7yqg7qC165Fb+UX5/NbOt25BXm9biAD6OupyWmVmNu38EYGZtWuUwSrsloY8z8XnxsKrhdRYW7xpLqEi7xky+HPgG8HPCXcVHu/ubxJxJ5GHVy28TWiMrgWOSXKFFeZwefR6+HpV/G0Ir737C2Egcaxq7X8zsNcIA5D7uHnfg84k8m39rZomWYXD3+8zs78BfzGwFa1syO8bMoqj3I7JzbuUf+RThvMbRwcMSDhDOI+6+NDqeuKosPDs8V+O5ODBBPrlp22JF1KW6xMw8p3s17iyeYtPj7mvM7CLCZ3oqcGpbK39o3wEgDS1VkHHPS1nUAumQ83MZgMe/uy+3SyD2MtYF1BOahMckTWhmBxFaAAcRPmR7JUkf9a+eH13FP2PhTtgk6f8Rpb0TWJQkbU4eawizJB63cGPaBMJKjnHX0cntj/2AcPNVGoNlie40N7PjCUHsJ+5+d1v+YLHvB2unGOfm+cM8FXJLms65u1+asz3JFOUXCfeoFCON7yo5eeT+HPtYUki/B6HL50+EexjuirosL447ppKrPQeAg8yscSR+m5yfk1whPW9mp7p7U1PUzE4mrKUfR2/C/PDGK4rGnxsI85bjaOk4ErVCLNwF/F1CU/dN4L6cK6846ccRZny8TJi1c0rcAeQcuevGPGBmLxGuvLeLWYZ3COeujDBY+JKZfUSy97RxgsDXCJXGPoTmfpJpe7mV/dI0Kn8Li5fFbtWZ2R8IFcMAb/vUx6Lej8hCMzvCc5bBsHBH7cKY6f9iZqe5+6056UeTbIpyrbu3pSsvV2+K/642z6PxJrS4n49i00O4sDnN3f8ATUuW3EC4Gzhxa6jdBgB3jz3XvhVjgEkW5ny/QniDFhJz4NTde+fbHo3Kx5LGcViYcz+EMNXtPULf9UVm9rmEM0m+6u5xV3nMZ52lit29xsKspljTat0932B2ItEg9kDgacKsprhXqrmKurhoFsggXPm/CrS4Hnwef8itNNuoqPcjcg5hafETCcewO7A9oWspjjHAHVFr5lXgs9H/SaYt/ibBvnml9F3Nm8fGSh850N2b7huILtLOsLCicGLtdhooNF31/g/hiuZN4N7m0whj5rMt4Srg7SRXW9Fg1o8Is0XuivrnvkQYOI0djYs9jqg5PiC3CWhm5cBMT7AIWZ5y3OfuSVY2zdcSSXosxZ6LNYRum8bWS2NFnKgVUQpaaNVt1PcjJ5+vEObhv+7Jl5RunE3UG3izLS2aYs9FGt9VC1OafwmcFM1u+x4hyJ4QZ/Zfselz8knlPYV23AJo4ap3jJl9PslVb/MKx8ySnMwHCA8d2RfY2czeI6z1EXt52JSOo755/5+711mCW8yjKWpDKaIV0cqxfM7dJxWRPva5cPdUbm5MIRAVm36Tvx/NjqWpwrFwP0Sbz0XC71gq54IUvquEynsea+/GfoCwYOEE4k3jLDZ9au9po3YbAAjz5XOvel8ws5mEO0+L/YLErXAq3P2iqBnphDXo94k5PS6146DlwcUksx1GplCO1o4lzoczjXORRuVb1OcipaBeCu/H5nQu0viu7uw5CzRG3S/Xm1nc8Yxi00MK72mu9hwAir7qpfgKpzb6uw0WHjpyZNypgjnSOI6WpsntuZHLUWweabRk0qhwiv1cpBHISuH9gM3nXKTxXW3pQqstM/7akh7SORdN2vNaQGlc9eY9mcSfl5s7gPJBGz5QkM5xXE+Y8fI9QpP2e4Qm+94buRzF5pFGGb4PDHP3J939BQ/PQziCZOsJFfu5KDY9lMb7AZvPuUjju/ova/ZMZjM7kvgLsRWbHtI5F03acwsgjaveYk9mbhm+GP2c9AaVNI7jEI/WyjGzOz3Zs2fTLEexeZRKS6YUAlkpvB+weZ6Ltn5XzwXuNbOfEZaO2Ylwv80PNlJ6SOdcNGnPAeB6whN5IAyktGWudLEnsw9hCeZzCUuzziYM7CRp0qVxHGUt/JxEGuUoNo80ylAKFU4aX9JSeD9g8zkXaXxXjyQs87FrlK6aMMb0jZzybcj0kM65aNKeA0AaV73FnswDCEsu/JKw+uauhAXdLiH+GjRpHEdDCz8nkUY5is2jVFoypRDISuH9gM3nXKTxXc39DG1B+FxdR3hKWJwKvNj0kM65aNKeA0AaV73FnswzgEGe88BzM5tMWF007mPm0jiOqpwmbVubt2mUo9g8SqUlUwqBrBTeD9h8zkXR31V3vzAn7ecICwY+SvwF/opKH0njXDRpzwEgjaveYk/mqtwPFDQtf5xkTY40jqNPG9OlXY5i8yiVlkwpBLJSeD9g8zkXaXxXgaaZZmcSntUc91m+aaVP41w0ac8BII2r3mJPZkv9zUlmVxV9HF78OimplCOFPEqlJVMKgawU3g/YfM5F0d9VM/sMYZHCD4EDPOHzMopNH0njXDRpzwEgjaveYk/mXmY2rdm2MsKD0eNK4zjSkEY5is2jVFoypRDISuH9gM3nXKTxXa0hDN7+L3CbmTW9kHuD1wZMDynXF+02AKR01VvsyfxOC9snxs0gpeMoWhrlKDaPEmrJbPJAVgrvR2SzOBek8F0FjiqyDMWmT72+aNeLwYk0Z2Ft9LxKJdiKlAoFABGRjGrPS0GIiEgRFABERDJKAUBEJKMUAKRdM7OG6P+eZjZ9A/+tUdHdoy2Wow15NpXbzHa08CxgzGwXM3Mz+5uZ/cTCc3RFUtVup4GKNLM14WlP7U1Tud39bcKTrwAGAdUJ5oeLJKYAIJuLW4AdzWy6ux9tZscSbrfvQFh18VR3rzWzd4GHgb7Au8AdwOmEpXlHufszcf6YmfUGpgLdgbk527sDtwGVQEfgGne/18xGAYcD2xCePz3T3U/JLTdwFuFh9kcBVwDdzWxiVE7c/VIzOxy4DOhMWFL4BHf/wMxeA54D9iE8gCXJk64ko9QFJJuL04G3o8p/L+AE4EB334ew+mPjs193AGa4+75AV+Bodx8AXEqyRbluBSZH+c/J2T6WcOVeBRxMeBrZbtFrBwLHEG6O+qaFh5I3lbsxA3f/G2GVyt+7e1PXj5l9Cvg5cFhU/ieAa3L+9gx3N1X+EpdaALI5OgT4PDA3ut2+C/DXnNdnRP+/Djyb8/PWCf7GIMKT1wDuAX4T/TwY2NLMjo9+7wbsFf38Z3dfDmBmrxJaA8sT/M2+wC7ArOi4OhLWlWn0XIK8RBQAZLPUEbjf3U+Hpm6Zps+6u+c+BKRNz1IlrDPUIefnxlUlOwIj3f2v0d/egVBJf5/oubQ5aZIuVtcReNbdj4zy7krogmr0ScL8JOPUBSSbi1WsreSfBo42s+3NrAyYQLLunTj+CIyMfv4WoTsJwkJfJwOY2aeBFwhX7S3JLXchzwFfMbM9ot8vJjz/QKRNFABkc/Ee8B8zm+XufwfGESrjfxCunH+e8t87DTjGzP5OmLnT2JUzDtjCzGqiv3+eu78Sp9yF/qC7vwscD9xvZguA/YBzijgGyTitBSQiklEaAxDJYWbXAV/L89J8d//xxi6PyIakFoCISEZpDEBEJKMUAEREMkoBQEQkoxQAREQySgFARCSj/j8prNsqmCxsMAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "temp.head(20).plot(kind='bar')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Bottom 20 selling products" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:25.742206Z", "start_time": "2021-02-16T07:32:25.296462Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Item_WeightItem_VisibilityItem_MRPItem_Outlet_SalesOutlet_YearsItem_Fat_Content_0Item_Fat_Content_1Outlet_Location_Type_0Outlet_Location_Type_1Outlet_Location_Type_2...Outlet_0Outlet_1Outlet_2Outlet_3Outlet_4Outlet_5Outlet_6Outlet_7Outlet_8Outlet_9
Item_Weight1.000000-0.028674-0.0002550.0107840.0169750.024335-0.024335-0.0221080.0122720.008492...0.0225770.0101770.012942-0.028762-0.0025040.0143500.014923-0.0092630.006385-0.036504
Item_Visibility-0.0286741.000000-0.030495-0.1416370.100036-0.0325340.0325340.070483-0.0911970.023702...0.178385-0.022856-0.042400-0.0314590.222598-0.044514-0.056060-0.038007-0.024618-0.047956
Item_MRP-0.000255-0.0304951.0000000.5863900.003133-0.0266340.026634-0.0169430.025257-0.008949...-0.0167160.0050370.006770-0.019139-0.0190260.012579-0.0046860.0353160.010870-0.020555
Item_Outlet_Sales0.010784-0.1416370.5863901.0000000.059710-0.0320610.032061-0.1074300.0569790.043853...-0.2679190.0090330.051358-0.068616-0.2827440.333309-0.0034980.0372540.0088910.057511
Outlet_Years0.0169750.1000360.0031330.0597101.0000000.020204-0.0202040.209903-0.5517070.343721...-0.0039990.459396-0.386910-0.4557620.4005230.530069-0.260612-0.1791440.036373-0.047138
Item_Fat_Content_00.024335-0.032534-0.026634-0.0320610.0202041.000000-1.0000000.042783-0.038263-0.002281...0.001517-0.036649-0.0196330.0108620.0404520.021831-0.023539-0.0141160.0123810.017748
Item_Fat_Content_1-0.0243350.0325340.0266340.032061-0.020204-1.0000001.000000-0.0427830.0382630.002281...-0.0015170.0366490.019633-0.010862-0.040452-0.0218310.0235390.014116-0.012381-0.017748
Outlet_Location_Type_0-0.0221080.070483-0.016943-0.1074300.2099030.042783-0.0427831.000000-0.447229-0.489277...-0.156269-0.220515-0.220962-0.2135260.416451-0.214889-0.221631-0.2260630.5615610.556369
Outlet_Location_Type_10.012272-0.0911970.0252570.056979-0.551707-0.0382630.038263-0.4472291.000000-0.561230...-0.179250-0.2529440.494068-0.244927-0.186249-0.2464900.4955640.505474-0.251147-0.248825
Outlet_Location_Type_20.0084920.023702-0.0089490.0438530.343721-0.0022810.002281-0.489277-0.5612301.000000...0.3193880.450696-0.2772860.436411-0.2037600.439196-0.278125-0.283687-0.274759-0.272218
Outlet_Size_00.010177-0.0228560.0050370.0090330.459396-0.0366490.036649-0.220515-0.2529440.450696...-0.0883831.000000-0.124972-0.120766-0.091834-0.121537-0.125350-0.127857-0.123833-0.122688
Outlet_Size_1-0.033718-0.081995-0.0179490.2133490.0192240.033371-0.0333710.087965-0.4893970.395801...-0.171003-0.241307-0.2417960.500466-0.1776800.503661-0.242528-0.247378-0.2395920.508431
Outlet_Size_20.0143910.0067190.021439-0.078258-0.304608-0.0087920.0087920.1301750.699408-0.802436...-0.256288-0.3616550.345555-0.3501920.253926-0.3524270.3466010.3535330.342406-0.355765
Outlet_Size_30.0225770.178385-0.016716-0.267919-0.0039990.001517-0.001517-0.156269-0.1792500.319388...1.000000-0.088383-0.088562-0.085581-0.065078-0.086128-0.088830-0.090606-0.087755-0.086943
Outlet_Type_00.0143690.293736-0.026162-0.4028190.2949040.031165-0.0311650.197281-0.2673330.078115...0.670510-0.131814-0.132081-0.1276360.696692-0.128451-0.132481-0.135130-0.130877-0.129667
Outlet_Type_1-0.000673-0.1547020.0224090.106981-0.255029-0.0429780.0429780.1418910.505927-0.624618...-0.3543000.2494570.249962-0.484115-0.368135-0.4872050.2507190.2557330.2476840.245394
Outlet_Type_2-0.028762-0.031459-0.019139-0.068616-0.4557620.010862-0.010862-0.213526-0.2449270.436411...-0.085581-0.120766-0.1210111.000000-0.088923-0.117685-0.121377-0.123804-0.119908-0.118799
Outlet_Type_30.014350-0.0445140.0125790.3333090.5300690.021831-0.021831-0.214889-0.2464900.439196...-0.086128-0.121537-0.121783-0.117685-0.0894911.000000-0.122152-0.124594-0.120673-0.119557
Item_Type_Combined_0-0.060947-0.025330-0.062313-0.042982-0.0037560.170101-0.1701010.0268190.045170-0.068862...-0.038562-0.0268510.030923-0.0386310.040241-0.0132970.0345260.0024200.024348-0.017277
Item_Type_Combined_10.0100590.0488200.0663320.0612570.027430-0.4075890.4075890.000600-0.0392170.037685...-0.0202760.038027-0.0320740.019142-0.0156980.017126-0.009616-0.0170170.026893-0.013885
Item_Type_Combined_20.034861-0.037328-0.029417-0.038286-0.0289720.343235-0.343235-0.0211750.0110320.008837...0.052980-0.0236390.0136190.007278-0.012505-0.009726-0.0152010.017904-0.0498080.029310
Outlet_00.0225770.178385-0.016716-0.267919-0.0039990.001517-0.001517-0.156269-0.1792500.319388...1.000000-0.088383-0.088562-0.085581-0.065078-0.086128-0.088830-0.090606-0.087755-0.086943
Outlet_10.010177-0.0228560.0050370.0090330.459396-0.0366490.036649-0.220515-0.2529440.450696...-0.0883831.000000-0.124972-0.120766-0.091834-0.121537-0.125350-0.127857-0.123833-0.122688
Outlet_20.012942-0.0424000.0067700.051358-0.386910-0.0196330.019633-0.2209620.494068-0.277286...-0.088562-0.1249721.000000-0.121011-0.092020-0.121783-0.125604-0.128116-0.124084-0.122936
Outlet_3-0.028762-0.031459-0.019139-0.068616-0.4557620.010862-0.010862-0.213526-0.2449270.436411...-0.085581-0.120766-0.1210111.000000-0.088923-0.117685-0.121377-0.123804-0.119908-0.118799
Outlet_4-0.0025040.222598-0.019026-0.2827440.4005230.040452-0.0404520.416451-0.186249-0.203760...-0.065078-0.091834-0.092020-0.0889231.000000-0.089491-0.092298-0.094144-0.091181-0.090338
Outlet_50.014350-0.0445140.0125790.3333090.5300690.021831-0.021831-0.214889-0.2464900.439196...-0.086128-0.121537-0.121783-0.117685-0.0894911.000000-0.122152-0.124594-0.120673-0.119557
Outlet_60.014923-0.056060-0.004686-0.003498-0.260612-0.0235390.023539-0.2216310.495564-0.278125...-0.088830-0.125350-0.125604-0.121377-0.092298-0.1221521.000000-0.128504-0.124459-0.123309
Outlet_7-0.009263-0.0380070.0353160.037254-0.179144-0.0141160.014116-0.2260630.505474-0.283687...-0.090606-0.127857-0.128116-0.123804-0.094144-0.124594-0.1285041.000000-0.126948-0.125774
Outlet_80.006385-0.0246180.0108700.0088910.0363730.012381-0.0123810.561561-0.251147-0.274759...-0.087755-0.123833-0.124084-0.119908-0.091181-0.120673-0.124459-0.1269481.000000-0.121816
Outlet_9-0.036504-0.047956-0.0205550.057511-0.0471380.017748-0.0177480.556369-0.248825-0.272218...-0.086943-0.122688-0.122936-0.118799-0.090338-0.119557-0.123309-0.125774-0.1218161.000000
\n", "

31 rows × 31 columns

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" ], "text/plain": [ " Item_Weight Item_Visibility Item_MRP \\\n", "Item_Weight 1.000000 -0.028674 -0.000255 \n", "Item_Visibility -0.028674 1.000000 -0.030495 \n", "Item_MRP -0.000255 -0.030495 1.000000 \n", "Item_Outlet_Sales 0.010784 -0.141637 0.586390 \n", "Outlet_Years 0.016975 0.100036 0.003133 \n", "Item_Fat_Content_0 0.024335 -0.032534 -0.026634 \n", "Item_Fat_Content_1 -0.024335 0.032534 0.026634 \n", "Outlet_Location_Type_0 -0.022108 0.070483 -0.016943 \n", "Outlet_Location_Type_1 0.012272 -0.091197 0.025257 \n", "Outlet_Location_Type_2 0.008492 0.023702 -0.008949 \n", "Outlet_Size_0 0.010177 -0.022856 0.005037 \n", "Outlet_Size_1 -0.033718 -0.081995 -0.017949 \n", "Outlet_Size_2 0.014391 0.006719 0.021439 \n", "Outlet_Size_3 0.022577 0.178385 -0.016716 \n", "Outlet_Type_0 0.014369 0.293736 -0.026162 \n", "Outlet_Type_1 -0.000673 -0.154702 0.022409 \n", "Outlet_Type_2 -0.028762 -0.031459 -0.019139 \n", "Outlet_Type_3 0.014350 -0.044514 0.012579 \n", "Item_Type_Combined_0 -0.060947 -0.025330 -0.062313 \n", "Item_Type_Combined_1 0.010059 0.048820 0.066332 \n", "Item_Type_Combined_2 0.034861 -0.037328 -0.029417 \n", "Outlet_0 0.022577 0.178385 -0.016716 \n", "Outlet_1 0.010177 -0.022856 0.005037 \n", "Outlet_2 0.012942 -0.042400 0.006770 \n", "Outlet_3 -0.028762 -0.031459 -0.019139 \n", "Outlet_4 -0.002504 0.222598 -0.019026 \n", "Outlet_5 0.014350 -0.044514 0.012579 \n", "Outlet_6 0.014923 -0.056060 -0.004686 \n", "Outlet_7 -0.009263 -0.038007 0.035316 \n", "Outlet_8 0.006385 -0.024618 0.010870 \n", "Outlet_9 -0.036504 -0.047956 -0.020555 \n", "\n", " Item_Outlet_Sales Outlet_Years Item_Fat_Content_0 \\\n", "Item_Weight 0.010784 0.016975 0.024335 \n", "Item_Visibility -0.141637 0.100036 -0.032534 \n", "Item_MRP 0.586390 0.003133 -0.026634 \n", "Item_Outlet_Sales 1.000000 0.059710 -0.032061 \n", "Outlet_Years 0.059710 1.000000 0.020204 \n", "Item_Fat_Content_0 -0.032061 0.020204 1.000000 \n", "Item_Fat_Content_1 0.032061 -0.020204 -1.000000 \n", "Outlet_Location_Type_0 -0.107430 0.209903 0.042783 \n", "Outlet_Location_Type_1 0.056979 -0.551707 -0.038263 \n", "Outlet_Location_Type_2 0.043853 0.343721 -0.002281 \n", "Outlet_Size_0 0.009033 0.459396 -0.036649 \n", "Outlet_Size_1 0.213349 0.019224 0.033371 \n", "Outlet_Size_2 -0.078258 -0.304608 -0.008792 \n", "Outlet_Size_3 -0.267919 -0.003999 0.001517 \n", "Outlet_Type_0 -0.402819 0.294904 0.031165 \n", "Outlet_Type_1 0.106981 -0.255029 -0.042978 \n", "Outlet_Type_2 -0.068616 -0.455762 0.010862 \n", "Outlet_Type_3 0.333309 0.530069 0.021831 \n", "Item_Type_Combined_0 -0.042982 -0.003756 0.170101 \n", "Item_Type_Combined_1 0.061257 0.027430 -0.407589 \n", "Item_Type_Combined_2 -0.038286 -0.028972 0.343235 \n", "Outlet_0 -0.267919 -0.003999 0.001517 \n", "Outlet_1 0.009033 0.459396 -0.036649 \n", "Outlet_2 0.051358 -0.386910 -0.019633 \n", "Outlet_3 -0.068616 -0.455762 0.010862 \n", "Outlet_4 -0.282744 0.400523 0.040452 \n", "Outlet_5 0.333309 0.530069 0.021831 \n", "Outlet_6 -0.003498 -0.260612 -0.023539 \n", "Outlet_7 0.037254 -0.179144 -0.014116 \n", "Outlet_8 0.008891 0.036373 0.012381 \n", "Outlet_9 0.057511 -0.047138 0.017748 \n", "\n", " Item_Fat_Content_1 Outlet_Location_Type_0 \\\n", "Item_Weight -0.024335 -0.022108 \n", "Item_Visibility 0.032534 0.070483 \n", "Item_MRP 0.026634 -0.016943 \n", "Item_Outlet_Sales 0.032061 -0.107430 \n", "Outlet_Years -0.020204 0.209903 \n", "Item_Fat_Content_0 -1.000000 0.042783 \n", "Item_Fat_Content_1 1.000000 -0.042783 \n", "Outlet_Location_Type_0 -0.042783 1.000000 \n", "Outlet_Location_Type_1 0.038263 -0.447229 \n", "Outlet_Location_Type_2 0.002281 -0.489277 \n", "Outlet_Size_0 0.036649 -0.220515 \n", "Outlet_Size_1 -0.033371 0.087965 \n", "Outlet_Size_2 0.008792 0.130175 \n", "Outlet_Size_3 -0.001517 -0.156269 \n", "Outlet_Type_0 -0.031165 0.197281 \n", "Outlet_Type_1 0.042978 0.141891 \n", "Outlet_Type_2 -0.010862 -0.213526 \n", "Outlet_Type_3 -0.021831 -0.214889 \n", "Item_Type_Combined_0 -0.170101 0.026819 \n", "Item_Type_Combined_1 0.407589 0.000600 \n", "Item_Type_Combined_2 -0.343235 -0.021175 \n", "Outlet_0 -0.001517 -0.156269 \n", "Outlet_1 0.036649 -0.220515 \n", "Outlet_2 0.019633 -0.220962 \n", "Outlet_3 -0.010862 -0.213526 \n", "Outlet_4 -0.040452 0.416451 \n", "Outlet_5 -0.021831 -0.214889 \n", "Outlet_6 0.023539 -0.221631 \n", "Outlet_7 0.014116 -0.226063 \n", "Outlet_8 -0.012381 0.561561 \n", "Outlet_9 -0.017748 0.556369 \n", "\n", " Outlet_Location_Type_1 Outlet_Location_Type_2 ... \\\n", "Item_Weight 0.012272 0.008492 ... \n", "Item_Visibility -0.091197 0.023702 ... \n", "Item_MRP 0.025257 -0.008949 ... \n", "Item_Outlet_Sales 0.056979 0.043853 ... \n", "Outlet_Years -0.551707 0.343721 ... \n", "Item_Fat_Content_0 -0.038263 -0.002281 ... \n", "Item_Fat_Content_1 0.038263 0.002281 ... \n", "Outlet_Location_Type_0 -0.447229 -0.489277 ... \n", "Outlet_Location_Type_1 1.000000 -0.561230 ... \n", "Outlet_Location_Type_2 -0.561230 1.000000 ... \n", "Outlet_Size_0 -0.252944 0.450696 ... \n", "Outlet_Size_1 -0.489397 0.395801 ... \n", "Outlet_Size_2 0.699408 -0.802436 ... \n", "Outlet_Size_3 -0.179250 0.319388 ... \n", "Outlet_Type_0 -0.267333 0.078115 ... \n", "Outlet_Type_1 0.505927 -0.624618 ... \n", "Outlet_Type_2 -0.244927 0.436411 ... \n", "Outlet_Type_3 -0.246490 0.439196 ... \n", "Item_Type_Combined_0 0.045170 -0.068862 ... \n", "Item_Type_Combined_1 -0.039217 0.037685 ... \n", "Item_Type_Combined_2 0.011032 0.008837 ... \n", "Outlet_0 -0.179250 0.319388 ... \n", "Outlet_1 -0.252944 0.450696 ... \n", "Outlet_2 0.494068 -0.277286 ... \n", "Outlet_3 -0.244927 0.436411 ... \n", "Outlet_4 -0.186249 -0.203760 ... \n", "Outlet_5 -0.246490 0.439196 ... \n", "Outlet_6 0.495564 -0.278125 ... \n", "Outlet_7 0.505474 -0.283687 ... \n", "Outlet_8 -0.251147 -0.274759 ... \n", "Outlet_9 -0.248825 -0.272218 ... \n", "\n", " Outlet_0 Outlet_1 Outlet_2 Outlet_3 Outlet_4 \\\n", "Item_Weight 0.022577 0.010177 0.012942 -0.028762 -0.002504 \n", "Item_Visibility 0.178385 -0.022856 -0.042400 -0.031459 0.222598 \n", "Item_MRP -0.016716 0.005037 0.006770 -0.019139 -0.019026 \n", "Item_Outlet_Sales -0.267919 0.009033 0.051358 -0.068616 -0.282744 \n", "Outlet_Years -0.003999 0.459396 -0.386910 -0.455762 0.400523 \n", "Item_Fat_Content_0 0.001517 -0.036649 -0.019633 0.010862 0.040452 \n", "Item_Fat_Content_1 -0.001517 0.036649 0.019633 -0.010862 -0.040452 \n", "Outlet_Location_Type_0 -0.156269 -0.220515 -0.220962 -0.213526 0.416451 \n", "Outlet_Location_Type_1 -0.179250 -0.252944 0.494068 -0.244927 -0.186249 \n", "Outlet_Location_Type_2 0.319388 0.450696 -0.277286 0.436411 -0.203760 \n", "Outlet_Size_0 -0.088383 1.000000 -0.124972 -0.120766 -0.091834 \n", "Outlet_Size_1 -0.171003 -0.241307 -0.241796 0.500466 -0.177680 \n", "Outlet_Size_2 -0.256288 -0.361655 0.345555 -0.350192 0.253926 \n", "Outlet_Size_3 1.000000 -0.088383 -0.088562 -0.085581 -0.065078 \n", "Outlet_Type_0 0.670510 -0.131814 -0.132081 -0.127636 0.696692 \n", "Outlet_Type_1 -0.354300 0.249457 0.249962 -0.484115 -0.368135 \n", "Outlet_Type_2 -0.085581 -0.120766 -0.121011 1.000000 -0.088923 \n", "Outlet_Type_3 -0.086128 -0.121537 -0.121783 -0.117685 -0.089491 \n", "Item_Type_Combined_0 -0.038562 -0.026851 0.030923 -0.038631 0.040241 \n", "Item_Type_Combined_1 -0.020276 0.038027 -0.032074 0.019142 -0.015698 \n", "Item_Type_Combined_2 0.052980 -0.023639 0.013619 0.007278 -0.012505 \n", "Outlet_0 1.000000 -0.088383 -0.088562 -0.085581 -0.065078 \n", "Outlet_1 -0.088383 1.000000 -0.124972 -0.120766 -0.091834 \n", "Outlet_2 -0.088562 -0.124972 1.000000 -0.121011 -0.092020 \n", "Outlet_3 -0.085581 -0.120766 -0.121011 1.000000 -0.088923 \n", "Outlet_4 -0.065078 -0.091834 -0.092020 -0.088923 1.000000 \n", "Outlet_5 -0.086128 -0.121537 -0.121783 -0.117685 -0.089491 \n", "Outlet_6 -0.088830 -0.125350 -0.125604 -0.121377 -0.092298 \n", "Outlet_7 -0.090606 -0.127857 -0.128116 -0.123804 -0.094144 \n", "Outlet_8 -0.087755 -0.123833 -0.124084 -0.119908 -0.091181 \n", "Outlet_9 -0.086943 -0.122688 -0.122936 -0.118799 -0.090338 \n", "\n", " Outlet_5 Outlet_6 Outlet_7 Outlet_8 Outlet_9 \n", "Item_Weight 0.014350 0.014923 -0.009263 0.006385 -0.036504 \n", "Item_Visibility -0.044514 -0.056060 -0.038007 -0.024618 -0.047956 \n", "Item_MRP 0.012579 -0.004686 0.035316 0.010870 -0.020555 \n", "Item_Outlet_Sales 0.333309 -0.003498 0.037254 0.008891 0.057511 \n", "Outlet_Years 0.530069 -0.260612 -0.179144 0.036373 -0.047138 \n", "Item_Fat_Content_0 0.021831 -0.023539 -0.014116 0.012381 0.017748 \n", "Item_Fat_Content_1 -0.021831 0.023539 0.014116 -0.012381 -0.017748 \n", "Outlet_Location_Type_0 -0.214889 -0.221631 -0.226063 0.561561 0.556369 \n", "Outlet_Location_Type_1 -0.246490 0.495564 0.505474 -0.251147 -0.248825 \n", "Outlet_Location_Type_2 0.439196 -0.278125 -0.283687 -0.274759 -0.272218 \n", "Outlet_Size_0 -0.121537 -0.125350 -0.127857 -0.123833 -0.122688 \n", "Outlet_Size_1 0.503661 -0.242528 -0.247378 -0.239592 0.508431 \n", "Outlet_Size_2 -0.352427 0.346601 0.353533 0.342406 -0.355765 \n", "Outlet_Size_3 -0.086128 -0.088830 -0.090606 -0.087755 -0.086943 \n", "Outlet_Type_0 -0.128451 -0.132481 -0.135130 -0.130877 -0.129667 \n", "Outlet_Type_1 -0.487205 0.250719 0.255733 0.247684 0.245394 \n", "Outlet_Type_2 -0.117685 -0.121377 -0.123804 -0.119908 -0.118799 \n", "Outlet_Type_3 1.000000 -0.122152 -0.124594 -0.120673 -0.119557 \n", "Item_Type_Combined_0 -0.013297 0.034526 0.002420 0.024348 -0.017277 \n", "Item_Type_Combined_1 0.017126 -0.009616 -0.017017 0.026893 -0.013885 \n", "Item_Type_Combined_2 -0.009726 -0.015201 0.017904 -0.049808 0.029310 \n", "Outlet_0 -0.086128 -0.088830 -0.090606 -0.087755 -0.086943 \n", "Outlet_1 -0.121537 -0.125350 -0.127857 -0.123833 -0.122688 \n", "Outlet_2 -0.121783 -0.125604 -0.128116 -0.124084 -0.122936 \n", "Outlet_3 -0.117685 -0.121377 -0.123804 -0.119908 -0.118799 \n", "Outlet_4 -0.089491 -0.092298 -0.094144 -0.091181 -0.090338 \n", "Outlet_5 1.000000 -0.122152 -0.124594 -0.120673 -0.119557 \n", "Outlet_6 -0.122152 1.000000 -0.128504 -0.124459 -0.123309 \n", "Outlet_7 -0.124594 -0.128504 1.000000 -0.126948 -0.125774 \n", "Outlet_8 -0.120673 -0.124459 -0.126948 1.000000 -0.121816 \n", "Outlet_9 -0.119557 -0.123309 -0.125774 -0.121816 1.000000 \n", "\n", "[31 rows x 31 columns]" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_main.corr()" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:33.703638Z", "start_time": "2021-02-16T07:32:25.822161Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(20,18))\n", "#matrix = np.triu(df_main.corr())\n", "p=sns.heatmap(df_main.corr(), annot=True,cmap= 'RdYlGn',linewidths=1, linecolor='black')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data Prep " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Final Data for modeling" ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:33.719628Z", "start_time": "2021-02-16T07:32:33.706639Z" } }, "outputs": [ { "data": { "text/plain": [ "Index(['Item_Identifier', 'Item_Weight', 'Item_Visibility', 'Item_MRP',\n", " 'Outlet_Identifier', 'Item_Outlet_Sales', 'Outlet_Years',\n", " 'Item_Fat_Content_0', 'Item_Fat_Content_1', 'Outlet_Location_Type_0',\n", " 'Outlet_Location_Type_1', 'Outlet_Location_Type_2', 'Outlet_Size_0',\n", " 'Outlet_Size_1', 'Outlet_Size_2', 'Outlet_Size_3', 'Outlet_Type_0',\n", " 'Outlet_Type_1', 'Outlet_Type_2', 'Outlet_Type_3',\n", " 'Item_Type_Combined_0', 'Item_Type_Combined_1', 'Item_Type_Combined_2',\n", " 'Outlet_0', 'Outlet_1', 'Outlet_2', 'Outlet_3', 'Outlet_4', 'Outlet_5',\n", " 'Outlet_6', 'Outlet_7', 'Outlet_8', 'Outlet_9'],\n", " dtype='object')" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.columns" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:33.954620Z", "start_time": "2021-02-16T07:32:33.722629Z" } }, "outputs": [], "source": [ "df.drop(columns=[\"Item_Identifier\",\"Outlet_Identifier\"],inplace=True)" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:34.109510Z", "start_time": "2021-02-16T07:32:33.957596Z" } }, "outputs": [], "source": [ "X = df_main.drop([\"Item_Identifier\",\"Outlet_Identifier\",\"Item_Outlet_Sales\"],axis=1)\n", "y = df_main[\"Item_Outlet_Sales\"]" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:34.251455Z", "start_time": "2021-02-16T07:32:34.112511Z" }, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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Item_WeightItem_VisibilityItem_MRPOutlet_YearsItem_Fat_Content_0Item_Fat_Content_1Outlet_Location_Type_0Outlet_Location_Type_1Outlet_Location_Type_2Outlet_Size_0...Outlet_0Outlet_1Outlet_2Outlet_3Outlet_4Outlet_5Outlet_6Outlet_7Outlet_8Outlet_9
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" ], "text/plain": [ " Item_Weight Item_Visibility Item_MRP Outlet_Years Item_Fat_Content_0 \\\n", "0 9.30 0.016047 249.8092 10 1 \n", "1 5.92 0.019278 48.2692 0 0 \n", "2 17.50 0.016760 141.6180 10 1 \n", "3 19.20 0.017834 182.0950 11 0 \n", "4 8.93 0.009780 53.8614 22 1 \n", "\n", " Item_Fat_Content_1 Outlet_Location_Type_0 Outlet_Location_Type_1 \\\n", "0 0 1 0 \n", "1 1 0 0 \n", "2 0 1 0 \n", "3 1 0 0 \n", "4 0 0 0 \n", "\n", " Outlet_Location_Type_2 Outlet_Size_0 ... Outlet_0 Outlet_1 Outlet_2 \\\n", "0 0 0 ... 0 0 0 \n", "1 1 0 ... 0 0 0 \n", "2 0 0 ... 0 0 0 \n", "3 1 0 ... 1 0 0 \n", "4 1 1 ... 0 1 0 \n", "\n", " Outlet_3 Outlet_4 Outlet_5 Outlet_6 Outlet_7 Outlet_8 Outlet_9 \n", "0 0 0 0 0 0 0 1 \n", "1 1 0 0 0 0 0 0 \n", "2 0 0 0 0 0 0 1 \n", "3 0 0 0 0 0 0 0 \n", "4 0 0 0 0 0 0 0 \n", "\n", "[5 rows x 30 columns]" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X.head()" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:34.361366Z", "start_time": "2021-02-16T07:32:34.254427Z" } }, "outputs": [ { "data": { "text/plain": [ "0 3735.1380\n", "1 443.4228\n", "2 2097.2700\n", "3 732.3800\n", "4 994.7052\n", "Name: Item_Outlet_Sales, dtype: float64" ] }, "execution_count": 65, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:34.471903Z", "start_time": "2021-02-16T07:32:34.364367Z" } }, "outputs": [], "source": [ "import sklearn\n", "x_train,x_test,y_train,y_test = sklearn.model_selection.train_test_split(X,y,test_size=1 / 3,random_state=0) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Linear Regression" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:34.610841Z", "start_time": "2021-02-16T07:32:34.476879Z" } }, "outputs": [ { "data": { "text/plain": [ "LinearRegression(copy_X=True, fit_intercept=True, n_jobs=None, normalize=False)" ] }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.linear_model import LinearRegression\n", "reg = LinearRegression()\n", "reg.fit(x_train,y_train)" ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:34.719777Z", "start_time": "2021-02-16T07:32:34.613840Z" } }, "outputs": [ { "data": { "text/plain": [ "0.5829014005926508" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" } ], "source": [ "reg.score(x_train,y_train)" ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:34.844705Z", "start_time": "2021-02-16T07:32:34.724774Z" } }, "outputs": [ { "data": { "text/plain": [ "0.5745067008281586" ] }, "execution_count": 69, "metadata": {}, "output_type": "execute_result" } ], "source": [ "reg.score(x_test,y_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Ridge Regression" ] }, { "cell_type": "code", "execution_count": 71, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:35.093561Z", "start_time": "2021-02-16T07:32:34.941649Z" } }, "outputs": [], "source": [ "from sklearn.preprocessing import PolynomialFeatures\n", "poly= PolynomialFeatures(2)\n", "x_tr=poly.fit_transform(x_train)\n", "x_te=poly.transform(x_test)" ] }, { "cell_type": "code", "execution_count": 72, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:35.156527Z", "start_time": "2021-02-16T07:32:35.097559Z" } }, "outputs": [ { "data": { "text/plain": [ "((3336, 30), (3336, 496))" ] }, "execution_count": 72, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(x_train.shape,x_tr.shape)" ] }, { "cell_type": "code", "execution_count": 73, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:36.541731Z", "start_time": "2021-02-16T07:32:35.160523Z" } }, "outputs": [ { "data": { "text/plain": [ "RidgeCV(alphas=array([ 0.1, 1. , 10. ]), cv=5, fit_intercept=True,\n", " gcv_mode=None, normalize=False, scoring='neg_mean_absolute_error',\n", " store_cv_values=False)" ] }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.linear_model import RidgeCV\n", "reg=RidgeCV(cv=5,scoring='neg_mean_absolute_error')\n", "reg.fit(x_tr,y_train)" ] }, { "cell_type": "code", "execution_count": 74, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:36.571714Z", "start_time": "2021-02-16T07:32:36.548730Z" } }, "outputs": [ { "data": { "text/plain": [ "0.6339190443896361" ] }, "execution_count": 74, "metadata": {}, "output_type": "execute_result" } ], "source": [ "reg.score(x_tr,y_train)" ] }, { "cell_type": "code", "execution_count": 75, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:36.713633Z", "start_time": "2021-02-16T07:32:36.574714Z" } }, "outputs": [ { "data": { "text/plain": [ "0.6268405557416854" ] }, "execution_count": 75, "metadata": {}, "output_type": "execute_result" } ], "source": [ "reg.score(x_te,y_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Random forest" ] }, { "cell_type": "code", "execution_count": 76, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:38.754465Z", "start_time": "2021-02-16T07:32:36.716630Z" }, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "RandomForestRegressor(bootstrap=True, ccp_alpha=0.0, criterion='mse',\n", " max_depth=None, max_features='auto', max_leaf_nodes=None,\n", " max_samples=None, min_impurity_decrease=0.0,\n", " min_impurity_split=None, min_samples_leaf=1,\n", " min_samples_split=2, min_weight_fraction_leaf=0.0,\n", " n_estimators=100, n_jobs=None, oob_score=False,\n", " random_state=None, verbose=0, warm_start=False)" ] }, "execution_count": 76, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.ensemble import RandomForestRegressor\n", "estimator = RandomForestRegressor()\n", "\n", "estimator.fit(x_train,y_train)" ] }, { "cell_type": "code", "execution_count": 77, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:38.878435Z", "start_time": "2021-02-16T07:32:38.757462Z" } }, "outputs": [ { "data": { "text/plain": [ "0.9805070802427924" ] }, "execution_count": 77, "metadata": {}, "output_type": "execute_result" } ], "source": [ "estimator.score(x_train,y_train)" ] }, { "cell_type": "code", "execution_count": 78, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:38.942398Z", "start_time": "2021-02-16T07:32:38.881433Z" } }, "outputs": [ { "data": { "text/plain": [ "0.8480563202395021" ] }, "execution_count": 78, "metadata": {}, "output_type": "execute_result" } ], "source": [ "estimator.score(x_test,y_test)" ] }, { "cell_type": "code", "execution_count": 79, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:39.706981Z", "start_time": "2021-02-16T07:32:38.946397Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "p=pd.Series(estimator.feature_importances_,X.columns).sort_values(ascending=False).plot(kind='bar',figsize=(20,10))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Hyperparameter tuning using Grid Search" ] }, { "cell_type": "code", "execution_count": 80, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:32:39.753955Z", "start_time": "2021-02-16T07:32:39.710958Z" } }, "outputs": [], "source": [ "from sklearn.linear_model import LinearRegression\n", "from sklearn.model_selection import GridSearchCV\n", "from sklearn.ensemble import RandomForestRegressor\n", "from sklearn.ensemble import ExtraTreesRegressor\n", "from catboost import CatBoostRegressor\n", "\n", "model_params = {\n", " 'Linear_reg': {\n", " 'model': LinearRegression(),\n", " 'params' : {\n", " 'fit_intercept': [True, False], 'normalize': [True, False], 'copy_X': [True, False]\n", "\n", " }\n", " },\n", " 'random_forest': {\n", " 'model': RandomForestRegressor(),\n", " 'params' : {\"n_estimators\": [10, 50, 100, 130],\n", " 'criterion':['mse'],\n", " \"max_depth\": [None,2,3,4],\n", " \"max_features\": ['auto', 'log2']\n", " }\n", " },\n", " 'ExtraTree_reg' : {\n", " 'model': ExtraTreesRegressor(),\n", " 'params': {\"n_estimators\": [10, 50, 100, 130],\n", " 'criterion':['mse'],\n", " \"max_depth\": [None,2,3,4],\n", " \"max_features\": ['auto', 'log2']\n", " }\n", " },\n", " 'CatBoost_reg':\n", " {\n", " 'model':CatBoostRegressor(),\n", " 'params':{\"n_estimators\": [130,200],\n", " 'loss_function':['RMSE','MAE'],\n", " 'learning_rate':[0.01,0.5,1]\n", " \n", " \n", " }\n", " }\n", " \n", " }\n" ] }, { "cell_type": "code", "execution_count": 81, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:35:27.111026Z", "start_time": "2021-02-16T07:32:39.756932Z" }, "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0:\tlearn: 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scores.append({\n", " 'model name' :model_name,\n", " 'model': reg.best_estimator_,\n", " 'best_score': reg.best_score_,\n", " 'best_params': reg.best_params_,\n", " 'R2_score' : sklearn.metrics.r2_score( y_test,reg.best_estimator_.predict(x_test))\n", " })\n", " \n", "df1 = pd.DataFrame(scores,columns=['model name','model','best_score','best_params','R2_score'])\n" ] }, { "cell_type": "code", "execution_count": 82, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:35:27.342874Z", "start_time": "2021-02-16T07:35:27.131992Z" } }, "outputs": [ { "data": { "text/html": [ "
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model namemodelbest_scorebest_paramsR2_score
0Linear_regLinearRegression(copy_X=True, fit_intercept=Tr...0.578577{'copy_X': True, 'fit_intercept': True, 'norma...0.574507
1random_forest(DecisionTreeRegressor(ccp_alpha=0.0, criterio...0.835779{'criterion': 'mse', 'max_depth': None, 'max_f...0.852770
2ExtraTree_reg(ExtraTreeRegressor(ccp_alpha=0.0, criterion='...0.847186{'criterion': 'mse', 'max_depth': None, 'max_f...0.873905
3CatBoost_reg<catboost.core.CatBoostRegressor object at 0x0...0.813387{'learning_rate': 0.5, 'loss_function': 'RMSE'...0.817854
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" ], "text/plain": [ " model name model \\\n", "0 Linear_reg LinearRegression(copy_X=True, fit_intercept=Tr... \n", "1 random_forest (DecisionTreeRegressor(ccp_alpha=0.0, criterio... \n", "2 ExtraTree_reg (ExtraTreeRegressor(ccp_alpha=0.0, criterion='... \n", "3 CatBoost_reg Model)\n", "- Refer Scikit learn library for clustering here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Determining The Optimal Number Of Clusters: \n", "\n", "- Determining the optimal number of clusters in a data set is a fundamental issue in partitioning clustering, such as k-means clustering, which requires the user to specify the number of clusters k to be generated.Unfortunately, there is no definitive answer to this question. The optimal number of clusters is somehow subjective and depends on the method used for measuring similarities and the parameters used for partitioning.\n", "\n", ">. These methods include direct methods and statistical testing methods:\n", "- Direct methods: consists of optimizing a criterion, such as the within cluster sums of squares or the average silhouette. The corresponding methods are named elbow and silhouette methods, respectively.\n", "- Statistical testing methods: consists of comparing evidence against null hypothesis. An example is the gap statistic" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Elbow method" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "![image.png](attachment:image.png)" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "![image.png](attachment:image.png)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And from this graph, we determine the number of clusters we’d like to keep. To that effect, we use the Elbow-method. The approach consists of looking for a kink or elbow in the WCSS graph. Usually, the part of the graph before the elbow would be steeply declining, while the part after it – much smoother. In this instance, the kink comes at the 7 clusters mark. " ] }, { "cell_type": "code", "execution_count": 83, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:35:30.741285Z", "start_time": "2021-02-16T07:35:27.346869Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'WCSS')" ] }, "execution_count": 83, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "wcss = []\n", "cluster_range = range(1, 11)\n", "for i in cluster_range:\n", " kmeans = KMeans(n_clusters=i, init='k-means++')\n", " kmeans.fit(df)\n", " wcss.append(kmeans.inertia_)\n", " # generate the plot\n", "plt.plot(cluster_range, wcss) # creating the graph between WCSS and the number of clusters\n", "plt.title('The Elbow Method')\n", "plt.xlabel('Number of clusters')\n", "plt.ylabel('WCSS')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Average silhouette method" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Silhouette analysis can be used to study the separation distance between the resulting clusters. The silhouette plot displays a measure of how close each point in one cluster is to points in the neighboring clusters and thus provides a way to assess parameters like number of clusters visually. This measure has a range of [-1, 1].\n", "Where 1 means that points are very close to their own cluster and far from other clusters, whereas -1 indicates that points are close to the neighboring clusters." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The silhouette score of 1 means that the clusters are very dense and nicely separated. The score of 0 means that clusters are overlapping. The score of less than 0 means that data belonging to clusters may be wrong/incorrect.\n", "The silhouette plots can be used to select the most optimal value of the K (no. of cluster) in K-means clustering.\n", "The aspects to look out for in Silhouette plots are cluster scores below the average silhouette score, wide fluctuations in the size of the clusters, and also the thickness of the silhouette plot." ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "![image.png](attachment:image.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "refer SKLearn for code " ] }, { "cell_type": "code", "execution_count": 84, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:36:07.847047Z", "start_time": "2021-02-16T07:35:30.744283Z" }, "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "For n_clusters = 2 The average silhouette_score is : 0.6168169774752235\n", "For n_clusters = 3 The average silhouette_score is : 0.5921198687195769\n", "For n_clusters = 4 The average silhouette_score is : 0.5553436623224265\n", "For n_clusters = 5 The average silhouette_score is : 0.5483397242438969\n", "For n_clusters = 6 The average silhouette_score is : 0.5477836113039588\n", "For n_clusters = 7 The average silhouette_score is : 0.531358975820681\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "range_n_clusters = [2, 3, 4, 5, 6,7]\n", "avg_silhouette(df,range_n_clusters)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Gap statistic method\n", "- Gap Statistic is a method from researchers Tibshirani, Walther, Hastie to determine the inherent number of clusters in a dataset with k-means clustering.\n", "- API : here\n", "- Paper :here " ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "![image.png](attachment:image.png)" ] }, { "cell_type": "code", "execution_count": 85, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:36:12.382204Z", "start_time": "2021-02-16T07:36:07.850047Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimal clusters: 5\n" ] }, { "data": { "image/png": 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iItk4VxDPAn2BT0VEVLXKOrfU1FQSExNrHGN6ejppaWk13i8SRcu5RMt5QMM5l/0nctnw6gYA4jwebp48kpTksv+eqjqXv56WzRt/eZf8omLWHcghO6UbY/p0CGrctdVQfi9Vqct55OXlVfhlOuQDzSIyCLgQ6AX0BNqLyJXAZuBlVfWq6mbgIFBxobQxpl7MLVOK2vaUhFAdnVsmc+3ZvX2PH1hQ+6t3E17hqD46ijN+kKOqRUAWkALcADwCICKdgRbAnooOYoypH/7jCZXNYq7K3eMHUnLHaPam3Xy9+1BdQzNhELKkICJXi8hNqrodeApYJiLLgFbALOA5oJW77XXghurcOjLG1F5xsbdcV9Sq5ydUpG+7Flw+qIfv8YPWVrtBCuoiO6q6DRju/vyK3/aZwMwAu1wdzHiMMWV9uesgB046pagdmicxpHPrOh1vxviBvPX1dgDeWLOd/5syhN5tmtc5ThM6NnnNmBjmP4t5knQmLq5uFUNp3dpwgdszqdjr5eGFG+p0PBN6lhSMiWFlxhOqOYu5Kv6L8Mxa9S17j+XUy3FNaFhSMCZGHTiRy393HgCcUtQJUj/FfuNP68g53doAkFdYzD+X2iI8DYklBWNi1NzNe3ylqMN7tKV1LUpRA/F4PNzjtwjPk59v5mhOfr0c2wSfJQVjYlSZBXXqUHUUyCUDuyHtWgBwLLeAp1Zsrtfjm+CxpGBMDDq1FLV+xhNKlF+E59ElG8ktKKrX9zDBYUnBmBiUvusg+084pajtmyVxZpe6laIGcs1ZvejSMhmAfcdzmbVqS72/h6l/lhSMiUHlu6LWtRQ1kIRG8fxqbGlb7UcWrafQFuGJeJYUjIlBwRxP8Hfj8L60TnaW9cw8eIK31m4P2nuZ+mFJwZgYc/BkHit3lJaiTpTgJYVmiY25bVR/3+MHF6zH67VFeCKZJQVjYox/V9Rh3euvFLUit44UkhPiAfh692Hm+A1wm8hjScGYGFO2K2rwrhJKtG2WxI3D+voeW6O8yGZJwZgYUlzsZY76jyfUbylqRX45dgCN3MHsxVv2sWLb/pC8r6k5SwrGxJCvvjtUphT1rCCUogbSPaUpV5/Vy/fYFuGJXJYUjIkh/lVHE+uhK2pN3D2+dDLbh+t3sX7vkZC9t6k+SwrGxJDZG+tnQZ3aGNCxFZekdvM9fmihjS1EIksKxsSIQ9mhK0WtyAy/1hevfrWV7YdOhDwGUzlLCsbEiLm6m2K3FnVo9za0aRrcUtRAhvdox7g+HQAoLPby/5ZYW+1IY0nBmBgRjAV1amPGeaVttZ/94hv2n8gNWyzmVJYUjIkBxcVe5mwK33iCv4nSiSGdUwDIKSjisWWbwhaLOZUlBWNiwOrvDpHlfiNv1yyRtK5twhaLx+Mpc7Xw+DLleG5B2OIxZVlSMCYGhLMUNZArBnenT5vmABzOyefZld+ENR5TypKCMTEgUsYTSsTHxfHr8QN8j/++aAN5hbYITySwpGBMlDuUnccX251SVI8HJvbrFOaIHNed3YeOzZsAsPtYDv9J3xrmiAxYUjAm6pUpRe3WlrbNksIckSOpcTx3jildhOehhespKrZFeMLNkoIxUW52hFQdBXLziL60TGoMwOb9x3gvY2eYIzKWFIyJYqeUop4e/vEEfy2SErhlpPge2yI84RfUpCAiw0RkUYDt14jIVyKySkRuKfdcexHZKSL9y+9njKkZ/1LUtk0TOTuMpagVuX10f5IaOYvwfLnzIAu+2RvmiGJb0JKCiMwAngUC3cB8GLgAGAncJSIp7j6NgaeAnGDFZUwsibRS1EA6NG/C9KF9fI+trXZ4NQrisbcAlwEvBXhuLdASKAQ8QMn14sPATOA3NXmjjIza/yVKT0+v9b6RJlrOJVrOA8J/Lm99WVrR0z8xv07xBPNcJrYt5mkPFHlh/jd7eWnuMga0aRK09wv376W+BOM8gpYUVPVtEelZwdMZQDpwEnhHVY+IyI+B/ao6R0RqlBRSU1NJTKx5c6/09HTS0tJqvF8kipZziZbzgPCfy6HsPDJedRrOeTxw8+QRta48Cva5pAFX7Szk1dXbAPhgTxHXTgzO+4X791Jf6nIeeXl5FX6ZDvlAs4gMAi4EegE9gfYiciVwAzDBHYMYArwoIh1DHZ8x0WKe7vGVop7TrU3ElKJWxL/1xbvrdqBZR8MYTewKR/XRUZwxgxxVLQKygBRVHaOqY1V1HLAGuE5VbcTJmFryH0+IhFnMVRnUOYUpbnWU1wsPL9wQ5ohiU8iSgohcLSI3qep2nMHkZSKyDGgFzApVHMbEguJiL3M0cucnVOQev0V4XkrP5Luj2WGMJjYFc6AZVd0GDHd/fsVv+0ycAeWK9hsXzLiMiXZrdh9i33GnFLVNciJnd4u8UtRARvfuwMie7Vi+bT8FRcU8ungjD32v4d//b0hs8poxUch/FvNE6UR8XMP5pz7j/NKxhae/2Myh7LwwRhN7Gs7fFGNMtc3e6DeeEGGzmKsytX8XUju2AuBEXiFPLNcwRxRbLCkYE2UOZ+exwq8r6iRpGOMJJeLiPNztN7bwzyWbOJlni/CEiiUFY6LMvM2lpahnd21DuwgvRQ3k+0N60iOlKQAHs/N44b9bwhxR7LCkYEyUibQFdWqjcXwcd40rXYTnkcUbKCiyttqhUK2k4JaT/kVEkkXkumAHZYypnVO7ojasW0f+pg89jXbNnE4FOw6f5DV3trMJriqTgoj8DZiK08eoETBdRB4JdmDGmJr7evdh9h53+km2SU7knAZSihpIckIjbh/tvwhPBsXF1lY72KpzpTAJuBbIVdVjwARgSlCjMsbUiv8s5gkNrBQ1kFtG9KNZojOdav3eo3y0YVeYI4p+1fkbU3IjryRFJ/ptM8ZEkGgYT/CXkpzIzef28z1+YEGGLcITZNVJCm8ArwOtReROYAnwSuW7GGNC7UhOPiu27/c9niSdwhhN/blzzOkkxDsfVV9sP8DSzKwwRxTdqkwKqvoA8BzwJtAd+IOq3h/swIwxNTNv8x6K3HvuZ3drQ/vmwVuPIJQ6t0zm2rN7+x7bIjzBVZ2B5jE4XU0/BN4DjrnbjDERpMws5gbSAK+67h4/EI+7aNzsTbv5eveh8AYUxapz++g+v//uBz4C7glmUMaYmvF6y3dFbfjjCf76tmvB5YN6+B4/uGB9GKOJbtW5fTTe779RwGDA5pwbE0G+3n2YPcecUtTWyQkM7d5wS1ErMmN8aeuLN9ZsZ8uB42GMJnrVuF5NVbcC/YMQizGmlsqUovbr3OBLUQNJ69aGC/o5g+fFXi+PLLJFeIKhyvUUROQFSstRPcDpOGssG2MixOwomcVclXvOG8hnm/cAMGvVt/x+4iA6toiOAfVIUZ2vE4uAxe5/C4E/AVcHMSZjTA0cycnn823+pajRmxTGn9bRN0s7r7CYfy7dGOaIok+FSUFEuotId5xEUPLfIpyrhI4hic4YU6XP/EpR07q2pkOUlKIG4vF4uMdvEZ4nP9/M0Zz8MEYUfSq7fbQY57aRJ8BzXqB3gO3GmBDzH0+ItqqjQC4Z2A1p1wLdf4xjuQU8tWIzM85LrXpHUy0VJgVV7RXKQIwxNef1luuKGmXzEwIpWYTnxtdXAPDoko38YnR/mjQO6pLzMaM6A819gduAZjhXDfFAL1W1CWzGhNnaPYfZ7ZaipjRJYFiPtmGOKDSuOasXf5j9Nd8dzWbf8Vz+vSqTn43oV/WOpkrVGWh+FTgCnAmswWl1YdVHxkSA2RtLrxImSnSWogaS0CieX40tbav9yKL1FNoiPPWiOn+DElT1D8Bs4CuctRXGBjUqY0y1lBlPiOJS1EBuHN6X1skJAGQePMFba7eHOaLoUJ2kkC0iicBmIE1Vc4IckzGmGo7m5LM8RkpRA2mW2JjbRpXOo31wwXprq10PqpMUXsZphvcx8AsR+RT4rvJdjDHB9tk3sVOKWpFbRwrJCfGA0+rDv/+TqZ3K5inEA6jqY8DlqrofGAc8DVwakuiMMRXyH0+IhVLUQNo2S+LGYX19jx+Yb8OddVVZ9dEuEXkReF5VFUBVdwG2Hp4xYXZqV9TYunXk75djB/DEcqWw2MuSzCw+35rFiF7twx1Wg1VZUhiOszbz+yJyAHgeeF1VT1b34CIyDHhAVceV234NcBdQhJN0nnSvTJ4BxN0+XVW31ORkjIkV6/Yc4buj2UBslaIG0j2lKVef1YsXv8wE4MGF63nPkkKtVXj7SFW3q+qfVbU/zgf4WcB6EXlOREZUdWARmQE8CyQFePph4AJgJHCXiKQAF7vvOxL4PfD3mp6MMbGiTFdU6RQzpagVuduvrfaH63exfu+RMEYTXMdy83lt9VZe2XSQ3e4Xg/pUrb9JqrpSVW8DzsBZS2FJNXbbAlxWwXNrgZY4CcMDeFX1PeAm9/kewL7qxGZMLCrTFTVGxxP8DejYiktSu/keP7Qwuhbh2Xssh6dXbGbqM/Np//s3ueblZTz61T5ueO3zen+v6sxo9uB8q78aOB/4FBhV1X6q+raI9Kzg6QwgHTgJvKOqR9x9CkXk3zgD2VdU5wQAMjJqP7iUnp5e630jTbScS7ScBwTnXE4UFLEss/Q7U6e8A6SnB/+bcaT/Xr7XOZ733Y+CV9IzuaJLHJ2aJgR8baSfC8DO4/ks2nmMxbuOs+5ADoGKbQuyT9T7uVSYFERkKPAjnA/njcAs4Od1nacgIoOAC4FewAngZRG5UlXfBFDV60XkHmCliAyozhhGamoqiYmJNY4lPT2dtLS0Gu8XiaLlXKLlPCB45/LO2h0UeRWAs7q2ZuKoYfX+HuU1hN9LGvDSlhwWbdlHkRfmHYznH2NOjTlSz8Xr9bL6u0O8t24n72fsJKOSW2BndW3N0NbxPPTDC0hOqHnPp7y8vAq/TFd2tDdwEsFId7W1+nIUyAFyVLVIRLKAFBG5Fuiqqn8FsoFinAFnY4yfsl1RY7fqKJAZ56WyaItzFfXcym/57YRBtGsWaFgzMhQWFbNsaxbvZTiJYMfhwN+B4zwexvRuz7QzunFJane6pzQlPT29VgmhKpUdsZeq1tv0QBG5Gmimqk+LyFPAMhHJxxl7mAU0Bl4QkSXuz3eqam59vb8x0cDr9dp4QiUmSieGdE5hze7D5BQU8diyTdw3eUi4wyojp6CQubqH9zN28tH6XRzMzgv4uqRG8UyUTlyS2p2LBnShbYiSW2Wts+ucEFR1G05pK6r6it/2mcDMci/PB66q63saE80y9paWorZqksCw7rFbihqIx+NhxnmpXP3yUgAeX6b8etxAmic1Dmtch7Pz+GjDd7yXsYO5upvs/MA3QVo1SeCiAV25JLUbk6QTTRNDH7c1IDemAfGfxTyhXycaxcd2KWogVwzuzu8+bc6Wg8c5nJPPsyu/4ZdjB4Q8jl1HTvJBxi7ey9jhjHMUB/6e3aVlMpekdmNaajfG9OlA4zD/TquVFERkCHAeUAjMVdVNQY3KGBNQrK2yVhvxcXH8evwAbnlrJQB/X7SBn48UEhvFB/29N+47ynvrdvB+xk5W7TxY4etO79DSlwjO7tYGjyfQApfhUZ2S1F8DNwMf4Mxr+EhE/qKqLwQ7OGNMqWO5+SzbmuV7bIPMFbvu7D7cN2cte4/nsPtYDi+nZ/ITvx5J9aW42MuqnQd8FUO6/1iFrx3Wva07UNwNad+y3mOpL9W5UrgJp2X2MQAR+ROwHLCkYEwIzf9mL4XuLYgzu7SmY4vY64paXUmN47lzzOn8z8dfAfDwwg38+Jw+9TLzO7+wiMVb9vFexk4+yNjpW/muvEZxHsad1pFpZ3TjewO70aVlcp3fOxSqkxQO4sxiLnESOB6ccIwxFbFS1Jq5eURf/jp/HUdzC9i8/xjvZezk8kE9anWsE3kFzN60m/czdvLxhl0czS0I+LrkhHgm9+/CtNRuTD29CynJNZ8/FW7VSQobgRUi8irOmMKlwDER+T2Aqv4piPEZY3BLUa1Vdo20SErglpHC39x22g8uWM9lZ3Sv9v77T+Ty4fpdvJ+xk3mbd5NXGHi5z7ZNE7l4oFMxdEG/TjRp3LDrd6oT/Xb3v5Ii2Xnu/yNnZMSYKLd+7xF2+ZWiDiMDBnQAABuxSURBVI/hrqg1cfvo/jy6eCO5hUV8ufMgC77ZS6tKXr/t0Anez9jJe+t2sGzrfoorWMmtR0pTpp3RjWmp3RnRs11UVYFVmRRU9T7/x24vpF6qmhm0qIwxZfhPWLvASlGrrUPzJkwf2ocnP98MwAMLMvjrOa19z3u9XtbtOeJLBGt2H67wWGd0asW01O5MO6MbgzunRFTFUH2qTvXRTTitrpv6bd4KnBasoIwxZdl4Qu3dNW4AT3/xDUXFXuZ/s5eMXknkZGbxXoZTOpp58ETA/TweGNmzPZekOhVDfdo2D3Hk4VGd20e/AQYDfwb+F5iKsw6CMSYEjucWsGzrft9jSwo106tNc64a3INXV28D4MZ52yieuy3gaxPi4zi/XyempXbj4oFdY3Ld6+okhSxV3Soi64AzVPUJEfl5sAMzxjjmf7OHgiJnkHNI5xQ6tWgYpY2RZMZ5qb6kUH5icfPExkw9vQvTzujGlP5dwt4SI9yqkxROish4nIVxponIKiD20qcxYVKmAd7pVnVUG4M6p/CDM3vympsYOjRP4nsDuzHtjG6MP61jSGY7NxTVSQq/AH4C/Nr9vwJ/CGZQxhiH0xXVxhPqwws/GMFVQ3pyaNc2rp84iri46BworqvqVB+tB37lPrw8uOEYY/xt2HeUnUecUtSWSY05t0e7MEfUcCU0iueS1G6k52VZQqhEpUlBRG4B9qrquyLyX6AtzsI3U1T121AEaEwsm72x9CrBSlFNKFT4N0xEfoNzZVCyAnYSMB74B05FkjEmyGxBHRNqlX3tuA6Ypqqb3cdFqrodeBIYF+zAjIl1x3MLWGpdUU2IVZYUilTVf1bHnwFUtQhriGdM0C34dq+vFHVw5xQ6N5Aum6ZhqywpxImIbwqfqr4NICItgcCdoYwx9caqjkw4VJYU/gO8KCItSjaISDPgeeDlYAdmTCxzSlFtPMGEXmXVR3/DGT/YLSIbAC8wAHhJVf8eiuCMiVUb9x1lx+GTALRIasy5Pa0U1YRGhUnBHTu4SUTuA4a6m79U1Z0hicyYGFa+K2q4F3M3saM6k9e+A94NQSzGGJeNJ5hwsa8fxkSYE3kFLM30L0W18QQTOpYUjIkwC77ZS75bijqoU0qDWfDdRAdLCsZEmLJVR3bryISWJQVjIsgpXVGtVbYJseq0zq41ERkGPKCq48ptvwa4C6e53vOq+qSINMaZA9ETSAT+rKofBDM+YyLNpqxjbPcrRR1hpagmxIJ2pSAiM4BncRrplfcwcAHOsp53iUgK8CPgoKqOBqYAjwUrNmMilf9Vwvl9rRTVhF4w/8ZtAS6r4Lm1QEuchOHBmRj3JvA7v9cUBjE2YyLSpxutFNWEl8fr9Vb9qloSkZ7Aa6o6vNz2R4DpwEngHVW9w++55sAHwDOq+kplx09PT+8JbK3nsI0Ji+yCYia8rRS4iwh/OK0vHZJje71gE3S90tLStvlvCOqYQiAiMgi4EOgFnABeFpErVfVNEemGM1HuiaoSgr/U1FQSExNrHEt6ejppaWk13i8SRcu5RMt5QM3P5YOMnRQUbwLgjE6tmDp6eBV7hE4s/14iVV3OIy8vj4yMjIDPheOG5VEgB8hxW2lkASki0gGYC9yjqs+HIS5jwsoa4JlIELIrBRG5Gmimqk+LyFPAMhHJxxl7mAU8BKQAvxORkrGFKaqaE6oYjQmXU0pRbTzBhElQk4KqbgOGuz+/4rd9JjCz3MvvcP8zJub4l6I2T2zMyF7twxyRiVVW72ZMBChTitqvo5WimrCxv3nGRICypag2nmDCx5KCMWFWvivqFBtPMGFkScGYMFv4bWlX1NSOrejaqmmYIzKxzJKCMWFmXVFNJLGkYEwYWVdUE2ksKRgTRpp1jG2HnFLUZomNGGldUU2YWVIwJozKd0VNaBQfxmiMsaRgTFh9auMJJsKEvCGeqV8fbdjF/fPW0b5RIS8NHETzJOuq2VCczCtgyZZ9vsdTbH6CiQB2pdBAeb1eHlyQwbTnF7JyxwE+zDzCBTPnceBEbrhDM9W0cMs+XynqwI4t6ZZipagm/CwpNEB5hUXc8Nrn/Obj1fgvh/HlzoOMf2Iu3x3NDl9wptpm2yxmE4EsKTQw+0/kMuHJebz4ZaZv28COLfG4P2/Yd5Qxj83m2wPHwhOgqRanFNXGE0zksaTQgGTsOczwf3zC8m37fdumD+3Dl7+8kP8b0YVGcU5q2HboJGMem8Pa3YfDFaqpwub9x9h66ATglKKOsq6oJkJYUmggPtn4HaP+NcdX0+7xwEMXp/HMVeeS0CieiT1b8u4N40lySxr3Hc9l/BNzWeGXQEzk8L9KOO+0jlaKaiKGJYUI5/V6eXTxBi55biHH8woA55vlezeM51fjBuDxeHyvnXp6F2bffD4t3AqkIzn5THxqHvN0d8Bjm/Ap0xXVZjGbCGJJIYLlFxbxs7e+4K4P0il2R5R7pDRl2S8mc9GArgH3Gd27AwtumUi7Zs6a1dn5RVz83ELeXrs9ZHGbymXnF7Ik00pRTWSypBChDp7MY8rT83n2i29920b0bMcXd0zhjE4ple57ZtfWLL51Et1aJQNQUFTMD15cyvMrv610PxMaC7/dS16hU4o6oENLulspqokglhQi0KZ9Rzn3H5+yyG9i04/SejPvZxNo37xJtY4h7Vuy5LbJ9GvXAoBir5efvrGC/7d4Q1BiNtVXturIrhJMZLGkEGHm6m5G/PNTthw87tt2/9QzmfXDESQ1rtlgZPeUpiy+dSJndmnt2/brD9L53aer8fpPcDAhc0pXVCtFNRHGkkIEeXzZJi56dgFHc50B5eSEeN768VjuOT+1zIByTbRv3oT5t0woU/J4/2cZ3P7uKoqLLTGE2jcHjpN50ClFbZrQiFG9rRTVRBZLChGgoKiY295eye3vrqLI/aDu2jKZJbdO5tIzutf5+C2bJPDpTeeX+Vb6xHLl+leXU+C2WTCh4T+L+by+HUm0UlQTYSwphNnh7DwufGY+T36+2bdtaPc2fHHnFM7s2rqSPWsmOaER704fx/eH9PRte+WrrVwxazE5BYX19j6mcp/aeIKJcJYUwuib/ccY+c/ZzP9mr2/bVUN6sODnE+nUIrne3y+hUTwvXTOSm8/t59v20YZdXPjMAo7l5tf7+5mysvMLWbyl9Hc9xcYTTASypBAmC7/dy7n/+BTdX9qj6I+TBvPKj0bTpHHwOprHx8Xx+OVD+Z/zU33bFm/ZxwVPWofVYFu0ZZ+vFPX0Di3p0bpZmCMy5lSWFMLg6RWbmfzUZxzOcb6dJzWK59VrR/O7iYNqPaBcEx6Ph79MPZO/XXiWb1v6rkOMfXwOu46cDPr7x6qyXVHtKsFEJksKIVRYVMwv31vFLW+tpNAdUO7UogmLbp3IVX73+kPl7vMGMvPK4ZTkoU1Zxxjz2By+2W8dVoPB5ieYhsCSQogczcnnkucX8s+lm3zbzuzSmi/umMI53duGLa6fDu/LKz8aTeN456/C9sMnGfv4HL7efShsMUWjb/Yf8809aZrQiNFWimoiVFCTgogME5FFAbZfIyJficgqEbmlOvs0ZJkHjzPqX7PLfFO89IzuLL51Il1bhb/FwVVDevLeDeNo0ri0w+p5T8zj861Z4Q0sivhPWBt/mpWimsgVtKQgIjOAZ4GkAE8/DFwAjATuEpGUauzTIC3N3MfwRz9lw76jvm33XpDKG9eNoWli5KynPLl/F2bfdAEty3RY/Yw5m6zDan0oU4p6uo0nmMjlCVa7AxG5HFgLvKSqw8s9Nwf4GXAQWA2kqeqRyvYJJD09vSewtb5jry8fZR7h/v/uxi04ISHOw2+HdWZyr5bhDawSmw/ncvvC7RzKLQKgURz8aURXLujeIsyRNVy5hcVMeFvJK3L+rb33vdPo3CwhzFEZA0CvtLS0bf4bglb7qKpvi0jPCp7OANKBk8A7qnqkGvtUKDU1lcTExBrHmJ6eTlpaWo33q0pRcTH3fryah78o/XbYvlkS70wfx7k929X7+0H9nUsakDb4DCY99Rk7Dp+ksBh+u/w72nTqyo3D+9Y90CoE63cSDiXn8unG78grcsaS+rdvwcVjzw1zZDUXjb+Xhq4u55GXl0dGRkbA50I+0Cwig4ALgV5AT6C9iFwZ6jiC5XhuAZfPWszDi0q7kQ7qlMIXd0wJWkKob/3atWDJrZPo3760w+rNb37BIwvXhzmyhqlsAzyrOjKRLRzVR0eBHCBHVYuALKDyBQIaiO2HTjDmsTl8uH6Xb9tFA7qy5LZJDW6iUreUpiy6dRJn+bXamPHRV/zvJ9Zhtab8Cwym2CprJsKFLCmIyNUicpOqbgeeApaJyDKgFTArVHEEy4pt+xn+j09Zu+ewb9uvxw3gneljaZ4UOQPKNdGuWRLzb5nAGL/yyb/Nz+C2d/5rHVar6dsDx/j2gJWimoYjeP0UAFXdBgx3f37Fb/tMYGZV+zQUL6dn8tPXV5DvdhxtHB/Hk1cMY/rQ08IcWd21SErgk5vO56p/L+ETd0buzM83czQnnxd+ONI3v8EENntj6VWClaKahsD+RddBcbGX336ymutfWe5LCG2SE5n3swuiIiGUaNK4Ee9MH8cPz+zp2/bq6m1c9sIi67BahU/9xxOsFNU0AJYUaulkXgFXvbiEv84vHcEf0KElX9w5hdG9O4QxsuBoHB/Hi1eP4pYRpR1WP9n4HVOfns/RHOuwGkhuYTGLvi1dUnWKDTKbBsCSQi3sOnKScU/M5d11O3zbJvfvzPLbJ9O7TfMwRhZccXEe/nXZUH7j12F1SWYWF8ycx37rsHqK1VnZ5BY68z36t29BzwZWbGBikyWFGlq14wDD//EpX+0q7Q10x5j+vH/DeFokRf+EJI/Hw5+nnsmDF5V2WP1q1yHGPjaHnYetw6q/z3ef8P1spaimobCkUANvrNnGuMfnsudYDgCN4jw8ccUw/n7JOTSKsQHXu8YP5OmrhhPntljV/ccY8/gcNluHVZ/P9/gnBRtPMA1DbH2S1ZLX6+VPc77mhy8t9d0OSHHXPfZfxSzW/GRYX169trTD6o7DJxn72BzWfGcdVrccOM7O485YS3JCPGP6RN84k4lOlhSqkFNQyNUvL+W+uWt92/q1a8GKO6ZwXt9OYYwsMlwxuAfv3zCe5ASn1DLrRC7jn5jLsszY7rBqXVFNQ2VJoRJ7jmUz/vG5vLFmu2/b+X078vntk+nbzhrElZjUvzNzbrqAVk2cMZVjuQVMfvqzMh+Msca/K6pVHZmGxJJCBVbvOsTwRz9l1c6Dvm23jOjHxz89n5Tkmjffi3YjerVn4c8n0qG50/U8p6CIac8v4vXV28IbWAgVF3tZu/swTyxTFn2717fdxhNMQxLUGc0N1bvrdnDdK8vIznfGD+LjPDx6yTn8fJSEObLINqhzCotvncSkpz5j++GTFBQVc81/lnIsr4CfhqDDaqgVFBWTvusgyzKzWJK5j+Vb93Ok3JwNadeCXlFcpmyijyUFP16vlwcWZPC/n6zxbWuZ1JjXrhvDRLFve9XRt10Llv5iMpOe+oyN+47i9cLP3vyCI9n53H3ewHCHVyfZ+YWs3HGApVv2sWxrFiu27/d9cajIL0b3D1F0xtQPSwqu3IIibnpzBf9JL12zp0+b5rz/k/Gc3iFyF8WJRF1aJrPo5xOZ+sx80t35HP/z8VcczsnjL1PPxOOWsUa6Izn5LN+axbLMLJZmZvHlroMUuO1MKtKheRKje3dgdK/2dCg4xJUj7erSNCyWFIB9x3O4/IXFrNi+37dtbJ8OvHn9WNo0tfGD2mjbLInPbpnAtOcXsXiL0+rhgQXrOZyTz2OXDSU+LvKGs/Ydz2FpZhZLM/exNDOLtXsOU1WX8F6tmzGqd3tG927PmN4dOK1tc1/SS09PD0HUxtSvmE8Ka3cf5pLnF7LDbzbuT4adxmOXDSXBygjrpEVSAh//9Dx+8OJSPtrgrDHx9IpvOJKTz79/ODKsf75er5fth0+yJHMfS7dksWxrVrUm3g3o0JLRvTs4iaBXe7qlNA1BtMaETkwnhaW7jvOHt2dzIs/p9Bnn8fDQxWdxx5jTG8wtjkjXpHEj3vrxWH7y+ue+W3NvrNnOsdwC3rx+LMkJofkr6PV62bjvKEsys1jmXgnsOppd6T5xHg9ndW3NqF7OlcCoXu1p2ywpJPEaEy4xmxT+vmgDM5bspOTuQPPExvznR6O4cEDXsMYVjRrHxzHrByNpmZTAE8sVcFYjm/rMfN6/YTwtm9R/z6jComLW7D7Mssx9LMnMYvnWLA6czKt0n8RGcQzt3pbRvdszuncHzu3RrsEukGRMbcVkUliWmcXdH5be7+3Zuinv3zCe1E5RsSpoRIqL8/DPS8+hdXICf563DoClmVmc/+Q8PvnpebRv3qROx88tKGLVzgMszcxiyZZ9rNi+33cFWJFmiY0Y0bM9Y3q3Z1Tv9pzTrS1Jje2WoYltMZkU/BeGGdmzHW9PH0c7uy0QdB6Ph/smDyGlSQJ3feAk5dXfHWLs43OZc/MFdK/B/fnjuQV8vm0/SzOd8tCV2w/4FjqqSJvkREb3ccYCRvfuwODOKTHXyNCYqsRkUji/bydeu24M+s233D1tnPWlCbE7xw6gRVICN7/5BcVeL5v3H2PMY7OZc/MFFe5z4EQuS33loftY/d1hiqsoDeraMtm5FdTHKRE9vUNLGysypgoxmRTi4jxcObgH6YUHLCGEyQ3DTqNVkwSueXkp+UXF7DySzdjH5/DIqM6kATsPn2TpVicBLMvMYsO+o1Ues1+7Fs6AsFse2iOlqSUBY2ooJpOCiQyXDerOBz8Zz2WzFpGdX8T+E3nc8tl2fv/fLLYdqnzBHo8HBndKcecIdGBUr/Z0bFG3cQljjCUFE2YTpDNzb57ARc8u4EhOPicLizkZICE0jo/j7K5tfFcCI3u193VlNcbUH0sKJuzO7dmORbdOZPJT89l73FnVLjkhnnN7tHPmCPTpwLDubUM2p8GYWGb/ykxEOKNTCqvvupCZsz9n0tBBnNW1jW9FN2NM6FhSMBGjffMmXNi7FWk92oU7FGNiln0VM8YY42NJwRhjjE9Qbx+JyDDgAVUdV277NcBdQBHwvKo+KSJxwBPAYCAPuFFVvw1mfMYYY8oK2pWCiMwAngUC9Y94GLgAGAncJSIpwDQgSVXPBf4HeCRYsRljjAksmLePtgCXVfDcWqAlTsLwAF5gFDAbQFW/AM4OYmzGGGMCCNrtI1V9W0R6VvB0BpAOnATeUdUjItIC8O9lUCQijVS18laXQEZGRq3jjKbVsaLlXKLlPMDOJVJFy7kE4zxCXpIqIoOAC4FewAngZRG5EjgGNPd7aVw1EkI8QL9+/UhIqPns1oyMDFJTU2u8XySKlnOJlvMAO5dIFS3nUpfzyM/PZ/PmzeB+hvoLxzyFo0AOkKOqRSKSBaQAy4GLgTdEZDiwrhrH6gSUnFyt1OUqI9JEy7lEy3mAnUukipZzqYfz6IRzq98nZElBRK4Gmqnq0yLyFLBMRPLdgGYBhcAEEfkcZ5xhejUOuwoYDezBqWQyxhhTtXichLCq/BMebxU96Y0xxsQOm7xmjDHGx5KCMcYYH0sKxhhjfCwpGGOM8bGkYIwxxidm11OoqFlfQyIijYHngZ5AIvBnVf0grEHVkojEA88AglNePF1Vt1S+V2QTkfY4M/cnqOqmcMdTWyKymtJuA1tVtTrl4hFHRH4DfA9IAJ5Q1efCHFKtiMiPgR+7D5OAIUBHVT1SH8ePyaTgNuu7FqfNRkP2I+Cgql4rIm2A1UCDTAo4ExdR1ZEiMg74O3BJWCOqAzdhP4UzUbPBEpEkgIb85QnA/Ts1AqcJZzLw67AGVAeqOgtnbhci8jhOp+l6SQgQu7ePKmvW15C8CfzO73GVfaIilaq+B9zkPuwB7AtjOPXhYWAmsDvcgdTRYCBZROaKyAK320BDNAmnS8K7wIfAR+ENp+5E5GxgoKo+XZ/HjcmkoKpvAwXhjqOuVPWEqh4XkebAW8Bvwx1TXahqoYj8G/gXzvk0SO7l/X5VnRPuWOpBNk6CmwT8DPiPiDTEOwxtcTovX0npeXjCG1Kd3QvcV98HjcmkEE1EpBuwEHhJVV8Jdzx1parXA/2AZ0SkabjjqaUbcFq2LMK53/uiiHQMb0i1thl4WVW9qroZOIjbc6yBOQjMUdV8VVUgF2iwi4GLSCugv6ourO9jN8SMb1wi0gGYC9ymqvPDHU9diMi1QFdV/SvOt9NiGmg/K1UdU/Kzmxh+pqp7wxdRndwAnAH8XEQ6Ay1weo01NMuAO0Tk7zhJrSlOomioxgCfBePAlhQatntxOsz+TkRKxhamqGpDHNx8B3hBRJYAjYE7VTU3zDEZeA6YJSLLcBbDuqE6a5xEGlX9SETGAP/FuUNyq6o2yC8dLgEyg3Fga4hnjDHGx8YUjDHG+FhSMMYY42NJwRhjjI8lBWOMMT6WFIwxxvhYSaqJSiLSAvgrMBan/cdh4C5V/crtg/PHmvbzEZGWwCxVvTQYcdX2mBW8z33AZ6q6tD6Pa6KfXSmYqCMiccAnwCFgiKoOAf4EfOo2DqytFODMCIwrkLE4i7MbUyN2pWCi0XigO/AHVS0GUNWFIjKdch+U7ozjP6rqIhHpCSxS1Z4icjUwA2dW9VacjrT/BDqLyLuqeqmIXAfcifPlKh1nQlSuiOwHvsSZOXuOqpb02aoyLhG5132vIpzZ6jOAbiVxua/5o7vvH0VkD06fqFE4Vx5XAaNx+vw8KyKXquq6evgzNTHCrhRMNDoTWFPywVtCVT9R1axqHuPPwERVTcNJCv2B24HdbkIYCPwUGOF+48+itB1zW5y1Oob4JYQq4xKRKTj9/s92X3saTvO2ynQE5qvqmcASnJYnL+IkpRstIZiasqRgolExTsOzuvgQWC4iDwJvq+qacs+PB/oCX4jIGpy1H/r7Pb+yFnGdD7yqqtluK4nn3W1Vme3+PwNoXY3XG1MhSwomGn0JnFW+NbKI3C8i48u91guUvK5xyUZVvQO4HGcg+GUR+VG5/eKBN9yrgSHAUOA2v/0D9Z+qKq7y/x49OLd4/WMsE6f7XiWJpvzrjKkxSwomGi3FuZ3zB3eZT0RkEjAd2FDutQeAge7P09zXNhKRb4ADbtfWF3Fu5xRSOg63CLhURNq7H/JP4owv1CWuBcAPRaSJu2bBdJy26EeA1iLSTkQSgcnV+DPwj9WYarOkYKKOqnpx7s33ATJEZC1wDzBVVcuv6PYgTlvor4Am7v6FwO+BeSLyJTAceABnNbgdIrJQVb/GWeBkAbAe58rhb3WJS1U/wlkR7Ev3mDuAf6nqUTfOVTjtkv9bjT+G2cBMERlRjdca42NdUo0xxvjYlYIxxhgfSwrGGGN8LCkYY4zxsaRgjDHGx5KCMcYYH0sKxhhjfCwpGGOM8fn/SqlEsFbHiUIAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "gap_statistics(df) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Clustering algorithms" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### K-means" ] }, { "cell_type": "code", "execution_count": 86, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:36:12.647052Z", "start_time": "2021-02-16T07:36:12.386200Z" } }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " Item_Weight Item_Visibility Item_MRP Item_Outlet_Sales Outlet_Years \\\n", "0 9.30 0.016047 249.8092 3735.1380 10 \n", "1 5.92 0.019278 48.2692 443.4228 0 \n", "2 17.50 0.016760 141.6180 2097.2700 10 \n", "3 19.20 0.017834 182.0950 732.3800 11 \n", "4 8.93 0.009780 53.8614 994.7052 22 \n", "\n", " Item_Fat_Content_0 Item_Fat_Content_1 Outlet_Location_Type_0 \\\n", "0 1 0 1 \n", "1 0 1 0 \n", "2 1 0 1 \n", "3 0 1 0 \n", "4 1 0 0 \n", "\n", " Outlet_Location_Type_1 Outlet_Location_Type_2 ... Outlet_1 Outlet_2 \\\n", "0 0 0 ... 0 0 \n", "1 0 1 ... 0 0 \n", "2 0 0 ... 0 0 \n", "3 0 1 ... 0 0 \n", "4 0 1 ... 1 0 \n", "\n", " Outlet_3 Outlet_4 Outlet_5 Outlet_6 Outlet_7 Outlet_8 Outlet_9 \\\n", "0 0 0 0 0 0 0 1 \n", "1 1 0 0 0 0 0 0 \n", "2 0 0 0 0 0 0 1 \n", "3 0 0 0 0 0 0 0 \n", "4 0 0 0 0 0 0 0 \n", "\n", " cluster_label \n", "0 1 \n", "1 0 \n", "2 0 \n", "3 0 \n", "4 0 \n", "\n", "[5 rows x 32 columns]" ] }, "execution_count": 86, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#KMeans++ removes the drawback of K means which is it is dependent on initialization of centroid\n", "kmodel=KMeans(init='k-means++', n_clusters=2, n_init=10,max_iter=500)\n", "kmodel.fit(df)\n", "df['cluster_label']=kmodel.labels_\n", "df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vizualising the clusters using PCA\n", ">. PCA is an algorithm that is used for dimensionality reduction - meaning, informally, that it can take in a DataFrame with many columns and return a DataFrame with a reduced number of columns that still retains much of the information from the columns of the original DataFrame. The columns of the DataFrame produced from the PCA procedure are called Principal Components. We will use these principal components to help us visualize our clusters in 1-D, 2-D, and 3-D space, since we cannot easily visualize the data we have in higher dimensions." ] }, { "cell_type": "code", "execution_count": 87, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:36:30.829504Z", "start_time": "2021-02-16T07:36:12.650050Z" } }, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", "showLink": false }, "data": [ { "marker": { "color": "rgba(255, 128, 255, 0.8)" }, "mode": "markers", "name": "Cluster 1", "type": "scatter", "x": [ -1792.0201534758073, -136.57681192722362, -1500.3185477917903, -1240.73535398688, -1678.7932430913386, -1891.6649467406564, -1157.9605101408972, -719.7061501516954, -46.66080392679263, -644.3897526543814, -89.10902786989118, -255.24218765155547, -688.1932288350184, 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15.920.01927848.2692443.4228001001...0010000000
217.500.016760141.61802097.27001010100...0000000010
319.200.017834182.0950732.38001101001...0000000000
48.930.00978053.8614994.70522210001...1000000000
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5 rows × 32 columns

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" ], "text/plain": [ " Item_Weight Item_Visibility Item_MRP Item_Outlet_Sales Outlet_Years \\\n", "0 9.30 0.016047 249.8092 3735.1380 10 \n", "1 5.92 0.019278 48.2692 443.4228 0 \n", "2 17.50 0.016760 141.6180 2097.2700 10 \n", "3 19.20 0.017834 182.0950 732.3800 11 \n", "4 8.93 0.009780 53.8614 994.7052 22 \n", "\n", " Item_Fat_Content_0 Item_Fat_Content_1 Outlet_Location_Type_0 \\\n", "0 1 0 1 \n", "1 0 1 0 \n", "2 1 0 1 \n", "3 0 1 0 \n", "4 1 0 0 \n", "\n", " Outlet_Location_Type_1 Outlet_Location_Type_2 ... Outlet_1 Outlet_2 \\\n", "0 0 0 ... 0 0 \n", "1 0 1 ... 0 0 \n", "2 0 0 ... 0 0 \n", "3 0 1 ... 0 0 \n", "4 0 1 ... 1 0 \n", "\n", " Outlet_3 Outlet_4 Outlet_5 Outlet_6 Outlet_7 Outlet_8 Outlet_9 \\\n", "0 0 0 0 0 0 0 1 \n", "1 1 0 0 0 0 0 0 \n", "2 0 0 0 0 0 0 1 \n", "3 0 0 0 0 0 0 0 \n", "4 0 0 0 0 0 0 0 \n", "\n", " cluster_label \n", "0 1 \n", "1 0 \n", "2 0 \n", "3 0 \n", "4 0 \n", "\n", "[5 rows x 32 columns]" ] }, "execution_count": 89, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.head()" ] }, { "cell_type": "code", "execution_count": 90, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:36:31.590067Z", "start_time": "2021-02-16T07:36:31.484129Z" } }, "outputs": [], "source": [ "list_of_clusters = df['cluster_label'].unique()" ] }, { "cell_type": "code", "execution_count": 91, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:36:36.318357Z", "start_time": "2021-02-16T07:36:31.593069Z" } }, "outputs": [], "source": [ " from sklearn.ensemble import RandomForestRegressor\n", "dict_={}\n", "for i in list_of_clusters:\n", " # get data for each\n", " cluster_data = df[df['cluster_label'] == i]\n", "\n", " # step 4.1 get cluster features & labels\n", " cluster_features =df.drop(['Item_Outlet_Sales', 'cluster_label'], axis=1)\n", " cluster_label = df['Item_Outlet_Sales']\n", "\n", " # step 4.2 split data into test & train\n", " x_train, x_test, y_train, y_test = sklearn.model_selection.train_test_split(cluster_features,\n", " cluster_label,\n", " test_size=1 / 3,\n", " random_state=0)\n", " \n", " scores = []\n", "\n", " \n", " estimator = RandomForestRegressor()\n", " estimator.fit(x_train,y_train)\n", " scores.append(\n", " {'train_score': estimator.score(x_train,y_train),\n", " 'test_score' :estimator.score(x_test,y_test)\n", " }) \n", " dict_[i]=scores" ] }, { "cell_type": "code", "execution_count": 92, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:36:36.334346Z", "start_time": "2021-02-16T07:36:36.321355Z" } }, "outputs": [ { "data": { "text/plain": [ "{1: [{'train_score': 0.9814861935839829, 'test_score': 0.8511212879187413}],\n", " 0: [{'train_score': 0.980229323362237, 'test_score': 0.8490949806204267}]}" ] }, "execution_count": 92, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dict_" ] }, { "cell_type": "code", "execution_count": 95, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:37:40.080736Z", "start_time": "2021-02-16T07:37:40.060749Z" } }, "outputs": [], "source": [ "final_models={}\n", "for i in dict_.keys():\n", " inner_list=dict_[i]\n", " final_models['cluster'+str(i)]=(inner_list[0])\n", " " ] }, { "cell_type": "code", "execution_count": 96, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:37:42.290573Z", "start_time": "2021-02-16T07:37:42.251580Z" } }, "outputs": [ { "data": { "text/html": [ "
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train_scoretest_score
cluster10.9814860.851121
cluster00.9802290.849095
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" ], "text/plain": [ " train_score test_score\n", "cluster1 0.981486 0.851121\n", "cluster0 0.980229 0.849095" ] }, "execution_count": 96, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pd.DataFrame(final_models).T" ] }, { "cell_type": "code", "execution_count": 97, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:37:44.053173Z", "start_time": "2021-02-16T07:37:44.037182Z" }, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "Index(['Item_Weight', 'Item_Visibility', 'Item_MRP', 'Item_Outlet_Sales',\n", " 'Outlet_Years', 'Item_Fat_Content_0', 'Item_Fat_Content_1',\n", " 'Outlet_Location_Type_0', 'Outlet_Location_Type_1',\n", " 'Outlet_Location_Type_2', 'Outlet_Size_0', 'Outlet_Size_1',\n", " 'Outlet_Size_2', 'Outlet_Size_3', 'Outlet_Type_0', 'Outlet_Type_1',\n", " 'Outlet_Type_2', 'Outlet_Type_3', 'Item_Type_Combined_0',\n", " 'Item_Type_Combined_1', 'Item_Type_Combined_2', 'Outlet_0', 'Outlet_1',\n", " 'Outlet_2', 'Outlet_3', 'Outlet_4', 'Outlet_5', 'Outlet_6', 'Outlet_7',\n", " 'Outlet_8', 'Outlet_9', 'cluster_label'],\n", " dtype='object')" ] }, "execution_count": 97, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.columns" ] }, { "cell_type": "code", "execution_count": 98, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:37:46.521841Z", "start_time": "2021-02-16T07:37:46.331951Z" } }, "outputs": [ { "data": { "text/html": [ "
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Item_WeightItem_VisibilityItem_MRPItem_Outlet_SalesOutlet_YearsItem_Fat_Content_0Item_Fat_Content_1Outlet_Location_Type_0Outlet_Location_Type_1Outlet_Location_Type_2...Outlet_0Outlet_1Outlet_2Outlet_3Outlet_4Outlet_5Outlet_6Outlet_7Outlet_8Outlet_9
meanmeanmeanmeanmeanmeanmeanmeanmeanmean...meanmeanmeanmeanmeanmeanmeanmeanmeanmean
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113.0941140.064434191.1180474418.41766212.1798420.6304350.3695650.2411070.3590250.399868...0.00000.1218710.1343870.0599470.0000000.2180500.1100130.1146250.1166010.124506
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2 rows × 31 columns

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" ], "text/plain": [ " Item_Weight Item_Visibility Item_MRP Item_Outlet_Sales \\\n", " mean mean mean mean \n", "cluster_label \n", "0 12.977314 0.074199 120.980642 1282.858552 \n", "1 13.094114 0.064434 191.118047 4418.417662 \n", "\n", " Outlet_Years Item_Fat_Content_0 Item_Fat_Content_1 \\\n", " mean mean mean \n", "cluster_label \n", "0 10.677947 0.665328 0.334672 \n", "1 12.179842 0.630435 0.369565 \n", "\n", " Outlet_Location_Type_0 Outlet_Location_Type_1 \\\n", " mean mean \n", "cluster_label \n", "0 0.297677 0.330370 \n", "1 0.241107 0.359025 \n", "\n", " Outlet_Location_Type_2 ... Outlet_0 Outlet_1 Outlet_2 \\\n", " mean ... mean mean mean \n", "cluster_label ... \n", "0 0.371953 ... 0.0846 0.106108 0.101233 \n", "1 0.399868 ... 0.0000 0.121871 0.134387 \n", "\n", " Outlet_3 Outlet_4 Outlet_5 Outlet_6 Outlet_7 Outlet_8 \\\n", " mean mean mean mean mean mean \n", "cluster_label \n", "0 0.124176 0.090909 0.057069 0.112704 0.116432 0.106395 \n", "1 0.059947 0.000000 0.218050 0.110013 0.114625 0.116601 \n", "\n", " Outlet_9 \n", " mean \n", "cluster_label \n", "0 0.100373 \n", "1 0.124506 \n", "\n", "[2 rows x 31 columns]" ] }, "execution_count": 98, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\n", "df.groupby(['cluster_label']).agg({\n", " 'mean'\n", "})\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " INSIGHTS \n", "- There are no intrinsic clusters in data , since the mean is very close for the two clusters . Also the model & scores donot change when fitted to data before or after clustering" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compare multiple regression models using pycaret" ] }, { "cell_type": "code", "execution_count": 99, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:37:52.853872Z", "start_time": "2021-02-16T07:37:52.828886Z" } }, "outputs": [ { "data": { "text/plain": [ "'2.2.3'" ] }, "execution_count": 99, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from pycaret.utils import version\n", "version()" ] }, { "cell_type": "code", "execution_count": 100, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:37:53.665158Z", "start_time": "2021-02-16T07:37:53.645178Z" } }, "outputs": [ { "data": { "text/plain": [ "Index(['Item_Weight', 'Item_Visibility', 'Item_MRP', 'Item_Outlet_Sales',\n", " 'Outlet_Years', 'Item_Fat_Content_0', 'Item_Fat_Content_1',\n", " 'Outlet_Location_Type_0', 'Outlet_Location_Type_1',\n", " 'Outlet_Location_Type_2', 'Outlet_Size_0', 'Outlet_Size_1',\n", " 'Outlet_Size_2', 'Outlet_Size_3', 'Outlet_Type_0', 'Outlet_Type_1',\n", " 'Outlet_Type_2', 'Outlet_Type_3', 'Item_Type_Combined_0',\n", " 'Item_Type_Combined_1', 'Item_Type_Combined_2', 'Outlet_0', 'Outlet_1',\n", " 'Outlet_2', 'Outlet_3', 'Outlet_4', 'Outlet_5', 'Outlet_6', 'Outlet_7',\n", " 'Outlet_8', 'Outlet_9', 'cluster_label'],\n", " dtype='object')" ] }, "execution_count": 100, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.columns" ] }, { "cell_type": "code", "execution_count": 101, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:37:54.400899Z", "start_time": "2021-02-16T07:37:54.379917Z" } }, "outputs": [], "source": [ "features =list(df.drop(columns=['Item_Outlet_Sales']).columns)" ] }, { "cell_type": "code", "execution_count": 102, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:38:07.979953Z", "start_time": "2021-02-16T07:37:55.779842Z" }, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Description Value
0session_id786
1TargetItem_Outlet_Sales
2Original Data(5005, 32)
3Missing ValuesFalse
4Numeric Features31
5Categorical Features0
6Ordinal FeaturesFalse
7High Cardinality FeaturesFalse
8High Cardinality MethodNone
9Transformed Train Set(3503, 26)
10Transformed Test Set(1502, 26)
11Shuffle Train-TestTrue
12Stratify Train-TestFalse
13Fold GeneratorKFold
14Fold Number10
15CPU Jobs-1
16Use GPUFalse
17Log ExperimentFalse
18Experiment Namereg-default-name
19USIc1d1
20Imputation Typesimple
21Iterative Imputation IterationNone
22Numeric Imputermean
23Iterative Imputation Numeric ModelNone
24Categorical Imputerconstant
25Iterative Imputation Categorical ModelNone
26Unknown Categoricals Handlingleast_frequent
27NormalizeFalse
28Normalize MethodNone
29TransformationFalse
30Transformation MethodNone
31PCAFalse
32PCA MethodNone
33PCA ComponentsNone
34Ignore Low VarianceFalse
35Combine Rare LevelsFalse
36Rare Level ThresholdNone
37Numeric BinningFalse
38Remove OutliersFalse
39Outliers ThresholdNone
40Remove MulticollinearityFalse
41Multicollinearity ThresholdNone
42ClusteringFalse
43Clustering IterationNone
44Polynomial FeaturesFalse
45Polynomial DegreeNone
46Trignometry FeaturesFalse
47Polynomial ThresholdNone
48Group FeaturesFalse
49Feature SelectionFalse
50Features Selection ThresholdNone
51Feature InteractionFalse
52Feature RatioFalse
53Interaction ThresholdNone
54Transform TargetFalse
55Transform Target Methodbox-cox
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import pycaret\n", "from pycaret.regression import *\n", "reg = setup(df, target = 'Item_Outlet_Sales',numeric_features=features, session_id=786)" ] }, { "cell_type": "code", "execution_count": 103, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:39:40.299549Z", "start_time": "2021-02-16T07:38:07.982955Z" } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Model MAE MSE RMSE R2 RMSLE MAPE TT (Sec)
etExtra Trees Regressor145.51.805e+05418.10.94230.2350.10910.652
rfRandom Forest Regressor231.72.081e+05450.40.93320.26310.17190.811
dtDecision Tree Regressor180.32.771e+05519.70.91080.31790.13040.023
catboostCatBoost Regressor364.12.889e+05535.20.90680.3920.31725.826
lightgbmLight Gradient Boosting Machine380.13.124e+05556.80.89930.39770.33650.084
gbrGradient Boosting Regressor506.34.967e+05703.60.83980.44840.42040.251
lrLinear Regression600.56.478e+05802.70.7920.57510.57250.565
lassoLasso Regression600.26.478e+05802.70.7920.57590.5720.017
ridgeRidge Regression600.46.477e+05802.70.7920.57330.57280.027
brBayesian Ridge600.36.477e+05802.70.7920.57390.5730.017
huberHuber Regressor593.46.683e+058150.78570.57490.56280.079
adaAdaBoost Regressor649.56.95e+05832.60.77540.57250.66390.141
ompOrthogonal Matching Pursuit707.38.675e+05928.80.72140.58860.65240.063
enElastic Net824.91.284e+0611320.58630.75710.99420.018
knnK Neighbors Regressor801.41.406e+0611810.54790.71080.90090.056
parPassive Aggressive Regressor925.11.532e+0612270.50670.76821.0520.024
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "ExtraTreesRegressor(bootstrap=False, ccp_alpha=0.0, criterion='mse',\n", " max_depth=None, max_features='auto', max_leaf_nodes=None,\n", " max_samples=None, min_impurity_decrease=0.0,\n", " min_impurity_split=None, min_samples_leaf=1,\n", " min_samples_split=2, min_weight_fraction_leaf=0.0,\n", " n_estimators=100, n_jobs=-1, oob_score=False,\n", " random_state=786, verbose=0, warm_start=False)" ] }, "execution_count": 103, "metadata": {}, "output_type": "execute_result" } ], "source": [ "compare_models()" ] }, { "cell_type": "code", "execution_count": 104, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:40:41.537174Z", "start_time": "2021-02-16T07:39:40.303525Z" } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
MAE MSE RMSE R2 RMSLE MAPE
0355.82.886e+05537.20.9160.39730.3113
1349.92.756e+055250.91030.38030.3243
2362.52.625e+05512.40.91060.46760.3562
3357.32.873e+055360.90550.42510.3307
4340.82.327e+05482.40.91880.34790.2828
5403.24.53e+056730.86190.3610.2922
6364.32.502e+05500.20.90960.4030.3264
7390.32.972e+05545.10.89390.44440.3991
8349.62.573e+05507.20.92870.35040.2942
9367.82.844e+05533.30.91250.34320.2551
Mean364.12.889e+05535.20.90680.3920.3172
SD18.185.792e+0449.530.01720.04110.0385
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 104, "metadata": {}, "output_type": "execute_result" } ], "source": [ "create_model('catboost')" ] }, { "cell_type": "code", "execution_count": 105, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:41:38.058600Z", "start_time": "2021-02-16T07:40:41.539177Z" } }, "outputs": [ { "data": { "image/png": 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pTuLx+B6/ZGezG2oZ8HkAb8xiVecOpVQAt9vpBODrwMHe8/G2vdLjXC8rpT7l/f8UYGREsRBCjBLZbFksAU5VSr0NGMAlSqnzgQKt9SNKqQTuh34MuFtr3eAdp4B1Pc51OXC/d8x24FtZLLcQQogeshYW3sD1ZT02f5yy/1a6j0t0br8zzbZ3geMGuoxCCCH6R27KE0IIkZGEhRBCiIwkLIQQQmQkYSGEECIjCQshhBAZSVgIIYTISMJCCCFERtm8KU8IIUQWOI6D7VjEzSimlcCykphOEss2CfiCVBROGvDXlLAQQohhyrJNkmachBXDsk0sO4lpm9h2EsexMQwfhtGjg8jITlkkLIQQYgjZjkXCjJE0414YJLEcC8tOYNsOhmHg6xEIaUMiyyQshBAiy2zHJmnFSZoxNxCsJKZj0mbtYGvzGgzHwOfzdzvGwId/GI0qS1gIIcQAcBybpJUgacbc1oHtjSNYJrZtAZ0tgtR+IgO/Echa19FAkrAQQoh+cBwb0zJJ2nF3QNkLBNuxvHEEC8NwWwTdA4FerYaRSMJCCCFwrzCyHNNtGVhuEFi26Y0fuKHg4OCj93iBAfhHQSDsiYSFEGJMSA2DpJXAti03DEhi2Ra2beFgY+DrNaAM4DNGdxhkImEhhBgVOu89SJpxklYc23FbBaad2B0G3uWm6cPAh9yn3DcJCyHEiBQ3Y8QTbSSsqDdmYOI4NuwpDAb5ctPRRMJCCDEiJM0E0WSEhBklYcVwHLtb19BQ3HswlkhYCCGGJdNKEku0ETejJOwYtm12XWlkYGCM8TGEwSZhIYQYFmzboiOxu+VgWkl8KfcljPUB5qEmYSGEGBK2YxNNtJEwO7xwSHS7R2G0X4o60mQtLJRSPuBBYC4QBy7VWq9J2X8hsBBoARZrrX/ubV/pbQNYr7W+RCl1ILAYcIBa4EqttZ2tsgshBp7jOEQTEeLJDuJWDNOMu11K3jiDtByGt2y2LL4I5Gitj1VKHQPcDZwFoJSqAG4D5gHNwCtKqVeB7QBa65N6nOse4Gat9etKqYe98yzJYtmFEPvJcRw3GMx2ElaMNruepvbiriuVRsNdzWNJNsPieOAlAK31cqXUkSn7ZgDvaa2bAJRSK4BjgPVAnlLqz17ZbtJaLwfmA294xy4FPkuGsKitrR3At9JdTU1N1s49Ukmd9DbW6qTzpjeTqHuPA0lw6OpWMjBYs3pNhrOMPXV1dQN6Pj8Bcv07BvSckN2wKGJ3dxKApZQKaK1NYDUwWyk1DogApwB1QAdwF/AYcBCwVCmlAENr7XjniQDFmV58zpw5hMPhAXsznWpqapg/f/6An3ckkzrpbazUSdKMEU2293k5a6q6ujpmzpw5yCUc3rJRJ8FAmIqCvV/8KB6P7/FLdjbDohUoTHns84ICrfUupdR1wHPAFuBdoAE3MNZ4wVCnlGoEJgCp4xOFuF1XQoghkDRjtMVbiCfbMZ2kO2sqyOWso1w272BZBnwewBuzWNW5QykVwO12OgH4OnCw9/xv4I5toJSaiNs62QasVEqd5B1+GvBmFssthOjBtJK0djSwo2UD9ZFNxJJtODhdQSFGv2z+pJcApyql3sadlPESpdT5QIHW+hGlVAKoAWLA3VrrBqXUz4HFSqm3cK98+obW2lRKfQ94VCkVAj4CfpvFcgshcFdwa4s1EzfbiZsxb7ZVQ65aGqOyFhbepa2X9dj8ccr+W4FbexyTAM5Pc6464MQsFFMIkcJ2bDrircSSEeLJaNdiPX4JiDFP2pBCjHGO49CRjBCLtxE32wF3niW5tHVk2da8lnU736M9vouSvHEcOvlkZlTOHbDzS1gIMUbFEu10JFqJme04juNNrSET8Y1E25rX8v6W/+16vKtjO3/VTwIMWGBIWAgxhsTNGO3xZuJmB45tud1MGL2WARUjy9qd76bdvmrzaxIWQoj+Ma04bfEWYol2LCfZNUAtrYiRK2kl2NW+jab2bTS1b6U9nv5uguZo/YC9poSFEKOQaSXpSLgBkbTiXeMPciXTyGRaCXZ17KCpfStN7VtpjTbiXjDqhr7fCGA5Zq/jSnKrBqwMEhZCjBK2Y9ERa3UXCLJiXTO4ykD1yGPaSZrbO8NhG63RnTgp4VCSV0VZ/kTK8idSkldFfevGbmMWnQ6dfPKAlUnCQogRzPEudY0m3am+kXshRiTLNmnu2B0OLdGd7hKxuHfGF+dWUpo/kbKCCZTkjSPgC3Y7fkJJNQDrGt6jPdZMSV6VXA0lhIBooo1oopVYcvelrjLVxshh2SYt0Z3sMjfwzjpNc7S+KxzAoDi3gtL8CZTlT6Q0bzwBf3CP5wM3MCaUVO/z3FCZSFgIMYJ0xFuJxJqw7KSsOT2C2LZFS3Rn15hDc0c9tmO5OzugKKeCsvwJlBV0hkNoaAuchoSFECNAR6KVSFRCYjhKvRkuP1zKjMrDGVc8ndboTpra3G6lXR3bd4cDUJhTRln+RKItDnMOmk/QP/AzZA80CQshhrGORIS2aBOmnZCQGIZ63gzXFm/i/S3/i/GJHyclHArCpW7LIX8ipfkTCAVyAKiL1I2IoAAJCyGGpWiijUis0V2XWkJiSNm2RcxsJ5bs/NdG3Pt/Q9uWtMcYOEwqO6QrHMKB3EEu9cCTsBBiGOkMiaQVx2f4JSSyLF0QxJLtXWEQS7aTsKJ7fV7HcZg18fgslHjoSFgIMQzEku20Rhu6QkIufc0s3VhB5yWksP9B4DP85ATzKcgpISeYT06wgHAgv+v/OcF8Vqz/A23xXb2Ozc8pzcp7HkoSFkIMoXiyg5ZoA6YVd2d6lZDol77GCtY3vI8BxJJtJKxYn8d3DwL3g79nEAT94YxzZs2onJf2ZrgZFYfv83sbriQshBgC8WQHrbEGkmYMQ7qb9krCjKG3L0+7LxJrSAmC0q4P/t1h0P8g6I/uN8PtIj+nlBkV3Vs4o4WEhRCDKG5G3e4mMyY30u0F00pSH9nI9pa1NEQ2d0190ZOBwT/PumRQZ9HtvBlutJOwEGIQJMwoLdEGEmZM1o3oJ9u2aGjbwraWNexs3dQ1UV5hTjlxs4OE2Xu8IT+nVKZbzxIJCyGyKGHGaI02EDej+AwfPgmJPXIcm6b2bWxrWcuOlvWYdgKAvFARE4oPZHxJNQXhkl5jFp1G41jBcCFhIUQWWLZJQ+QT4maHhEQGjuPQEt3pBcQ64mYHAOFAPpNKFeNLqinKqejWYhhLYwXDRdbCQinlAx4E5gJx4FKt9ZqU/RcCC4EWYLHW+udKqSDwODANCAO3aa1fUEodAbwIrPYOf0hr/XS2yi7EvjKtOC3RBjrsBpJWhYTEHrTFdrGtZQ3bWtYRTbQCEPSHmVR6MBNKDqQ0b/weu5TGyljBcJHNlsUXgRyt9bFKqWOAu4GzAJRSFcBtwDygGXhFKfUqcDLQqLW+UClVDqwEXgCOAO7RWt+dxfIKsc/ckGgklmyXMYk9iCYibGtZy7aWtbTFmgDw+wJMKD6QCSXVlOcfIOtvDFPZDIvjgZcAtNbLlVJHpuybAbyntW4CUEqtAI4BngV+m/K8zqWf5rtPU2fhti6u1VpHslh2IfrFtBK0RBu6QkJaEr3FzQ62t6xna7KW9XVvAO6U6lWFUxlfUk1V4VT8PukRH+6y+RMqwu1i6mQppQJaaxP3A3+2UmocEAFOAeq01m0ASqlC3NC42Tv2HeAxrXWNUmoR8O/Agj29eG1t7YC+mVQ1NTVZO/dINdbqxLItEkQwnTgG6btK6urqBrlUw4ftmLTbDbTb9USd3Xc45xglFPiqyPNV4I8HieywiOxYN4QlHXoD/XviJ0Cuf8eAnhP2IiyUUtOA2bithSla6/UZDmkFClMe+7ygQGu9Syl1HfAcsAV4F2jwXmcysAR4UGv9G+/YJVrrzhXJlwD3ZSrvnDlzCIcHfjbHmpoa5s+fP+DnHcnGUp2YVpLWWAPRRBs+o7zP59XV1TFz5sxBLNngSjfVRlXRVHZGNrHNuxeic0ru4twqJpRU094As9ScIS758JKN35N9XfwoHo/v8Ut2v8JCKfVV3G/5ecCxwN+UUgu01k/s4bBlwBnAM96YxaqU8wVwu51O8MrwCnCT19L4M3CV1vrVlHO9rJS6Wmv9Dm4rZGx9jRVDynFsOryV6eQS2D1My23snpa7IFzKhOJqxpdUkxcqAqCucey2tEaD/rYsbgCOA/6qta5XSs3D/YDfU1gsAU5VSr0NGMAlSqnzgQKt9SNKqQTuh34MuFtr3aCU+ilQCvxAKfUD7zynAZcD93vHbAe+tXdvU4i9F0u005FoJW62YzvOmA+JTut2vpd+h+Mw3bt8tTCnbHALJbKuv2Fhaa0jSikAtNbblFL2ng7QWtvAZT02f5yy/1bg1h7HXANck+Z07+KGlRBZlTTjtCeaiSXasR3Lu6rJwCd3BWM7NjsjG2mLN/XxDIeZ448a1DKJwdPfsPhAKXUVEFRKHQ5cAfTx9UKIkcW2LdrizcQSbSStBD6f23qQy19dCTPGJ7s0m5o+JJZs6/N5o3FabrFbf8PiStwxiyjuTXP/C3wvW4USItscx6Yj3ko02UbcjGJgYBhGV1AIiMSa2NT4AVubV2M7Fn5fgMlls8gNFlK34++9ni9TbQwt27YJBELkBguycv7+hsX9WutLgBuzUgohBkk00UY0ESFmtoGDt4aEBEQnx7Gpj2xiU2MtTe3bAMgNFjKlfDYHlM7sWi86J5gvU20MA45j4zP8hIP5FIRLCAayt553f8NijlKqoPM+CCFGkqQZoy3eQtzswLZNd2pwfPRxe8SYlLTibNml2dz4AVGvq6k8/wCmlM+msnByry45mWpj6NiOjc8wCAfyyQsVkRPKH5TX7W9Y2MAmpZTG7YoCQGv9T1kplRD7ybJM2hPNRBNtmHayq/Ug4xDd9epqMgJMLjuEKWWzKZAxiGHDcRzAJhTIIzdURF6oYNB/l/sbFtdntRRCDADHsWmPtxJLRrxxCJ87DiEB0Y3j2OyMbGJj4wc0tW8FIDdY4HU1qa6uJjH0bMciFMghJ1BAfk7xkC6726+w0Fq/oZQ6DfeGuADwmtb691ktmRD94DgOsWQ70UQrsWQ7gKxl3YekFXevakrpairLn8jU8tlUFk6RVtcw4bbwguSGCsgPlxDwB4e6SED/7+C+Hvgy8Gvcnt5FSqk5WusfZrNwQvQlYcZojzcTMztwbMtbolQ+7NJpi+1iU9MHbN21Gssx8Rl+JpUezJTy2XLz3DBhOzaG4SMnmEd+uJhwIG+oi9RLf7uhvgYcrbWOAiilHsW9+1rCQgwa00p23TBn2omu1oOERG9uV9NmNjV+QGP7JwDkBAuoLp/NASUzCQVyhriEwnEcHBxC/lzywoXkBAuG9ZKw/Q0LX2dQeGLsnj5ciAHnODYJM07c7MCykiSdOEkznjIOId1M6ezuavqQaNKdxb8sfwJTyudQJV1NQ84NCJuQP5fcUAEFvirKCycOdbH6pb9h8apS6jlgsff4Ytwb84TYb6adJJ7owLTjJK0Epp3EspPg0G0hHAmIvklX0/BmOxYBX4jccAF5oeKucYjh3JLoqb9hcS3uPE9fB3zAq8Aj2SqUGJ1sxyZhRkmYMUwrgWm7weDYtjfmsPsPx2f45T6INLpPDV5CRcEkIrGm7l1NZbM4oFRJV9MQcxwbw+cnJ5BPfrh4xP88+hsW+bhdUV9RSh0AfBsIIV1RIg3HcTCtJHGzwwuFOKZtYllJoHtrwcDAkGU0+6X31OC7aIu7CwuV5k/wrmqaKpcKDyHHscGAnEABuaFCckPZmXpjKPQ3LH7D7vUoIriti1/hXiElxjDbsTDtGK3RBkwrQdJOYlkJbGx8+Lu3FiQU9sua+n+k3Z4XKuZT008f5NKMTY7j4Dg2Dg5g4Pf58BkBfD4/PvzkhPLJCxWOyrGh/obFVK31mQBa61bgZqWUzDo7hjiOQ9KKkzCj3rhCAtNKYDsWUbuZ9vjuFXQNw4ef0ffHMhRsx6a+dSObmj6gI9Ga9jnRPraL/nMcG9trFfhwL8P2+QL4DS8MDD8+nx+/4cfvDxL0h/GNscu1+xsWjlLqUK31KgCl1MFAMnvFEsOBu4RoIzO7R4UAACAASURBVEkrhmUlcXC6rkbq5DP8Y+oPZrDEzShbmj5mS9NHxEz3ZkO/EcByevf8ytTg6fVsBfh8Pu9D34cPP36fFwJeAAR8IQK+gLSA+9DfsFgA/EUptQVwgCrcey/EKNR9nendcyrJeHN2OY5DS3Qnmxo/YHvrOhzHxu8LMqVsFpPLZhGJNXUbs+g0lqcGd+dMcgj4QxiGH7/Pjw+f1woIuCHgD+GXLzX7LWNYKKVOBz4EpuCuYnca8BqwPLtFE4OtMyRiyTYMZOruwWLZJttb1rGp8QNaYw0A5IdLmFI2i4klBxHwhwC6JvaTqcG9mVd9fgpCxRTklspl1YNgj2GhlFoAfBW4CDgYuAU3MA4H7sS9pFaMcJ3dTbFkxO1mkvGGQRFNRNjc9BFbdn1M0ooDBlVF05hSNouy/Ilpr8Ef61OD245F0B+mMFRMfrh4RN2nMNJlallcCByrte5QSt0OvKC1fkwpZeC2NsQIZlkmLbEGCYlB5DgOTe1b2dT4AfWRTYBD0J/D9IrDmVx2yKi61HIg2Y5FTiCfgpxSwsHhN2/SWJApLBytdYf3/5OBBwG01o5SKqsFE9nTFRKJVgzDLyExCEwrwSfNdWxu/JD2hHvlWFFuJVPKZjG+eAZ+X3+HD8cOx3HAcMgNFlKYUz5sZl8dqzL9hppKqRKgAJgH/BlAKTWVDDfkKaV8uOEyF4gDl2qt16TsvxBYCLQAi7XWP+/rGKXUgbhTjThALXCl1trey/c65lmW6Q1cR7w7pqWfN9vcaTg+ZGvzaiw7iWH4mFhyEJPLZlGSVzXUxRuW3KVCAxTkFJOfUyJjZ8NEprC4HXjPe95jWuttSqlzgB8Bt2Y49otAjtb6WKXUMcDdwFkASqkK4DbcAGoGXlFKvQoc0ccx9wA3a61fV0o97G1bsvdvd2zqHRLyx5dNtmPTbjewYv3qrsWFcoL5zKg8nEmlilAgd4hLODzZjk3In0N+TjF5oaKhLo7oYY9hobX+rVLqbaBCa/2+t7kN9xv/6xnOfTzwknee5UqpI1P2zQDe01o3ASilVgDHAJ/q45j5wBve/5cCn0XCIqPUkABDQiLL4maUT5o+ZvMu794I011caEr5LJmGow+dXU05gQIKckpH/PxJo1nGjlKt9VZga8rjP/Xz3EW4XUydLKVUQGttAquB2UqpcbjTh5wC1PV1DGBorR1vWwQozvTitbW1/Szm3qupqcnauQeCbVskaCPpxMAZnJkt6+rqsv4aw1XcbqXV3kqbXQ84GPgp9E2kyD+RUDKflu1JWravyXiesaDz98RxHAzDIGDkECIfn6+VlI+ZMWW4f550yuaoWitQmPLY5wUFWutdSqnrgOeALcC7QENfxyilUscnCnG7rvZozpw5hMMDv5ZwTU0N8+fPH/DzDgTLNmmNNnrTP5QN2mWFdXV1zJw5c1Bea6h0n+21lGkVhwKwqelDWhM7AcgPFTO5fDYHlBzEurUbRn2d7K26ujoOPKiagC9EfriY/HDJmL/0dTh9nsTj8T1+yc5mWCwDzgCe8cYfOicixGstHAOc4JXhFeAm7//pjlmplDrJ6/rqvClQeGzHoqWjwQsJ6W4aaL1ne22i9pPOXlGDqsKpTCmf3ee9EcIbtCZAWf5EuTx4hMpmWCwBTvXGPAzgEqXU+UCB1voRpVQCd2nWGHC31rpBKdXrGO9c3wMeVUqFgI+A32ax3COG7Vi0RhvoiEtIZNO6nSvTbg/5czim+ovkhgrT7h/r3Kk4ICdUQFFOKdv8rRIUI1jWwsK7tPWyHps/Ttl/Kz2uqOrjGLTWdcCJWSjmiCQhMThs22J7y7quNSN6SlpxCYo0HBx8+MjPKaYgp0wG9kcJuRNoBNkdEu7ayhIS2ZEwo2xu+ohNTR+SMKN9Pk9me+3OcSyC/hzywiXemg7SJTeaSFiMAG5INHotiZG1bu9IEok1sbGxlm3Na7w1k4NMKz+UnGABH2//W6/nj+XZXlPZjk1uMJ/8nFLCcg/JqCVhMYzZjp3S3SQhkQ2O49DQtpmNDbVd61jnhoqYWj6bA0pmds34GgrkymyvKdz7IyAvVEhBuEym4hgDJCyGGcexiSXbiSXaiZptg3afxFhj2km27lrNpsbarrmaSvMnMK38UCoLJ/fq4hvrs7126hy0zgsXUZRbLlODjyESFsOAaSXoSERImB0kzBgOuEs2YiArDg2saKKNzU0fsnnXx5hWvGuupqnlh1KUWz7UxRu2OhcZckOiQkJiDJKwGAKO47ith2Q7cTOKZSW8OZsMWZEuS5o76tnYWMuOlnU4OIT8OVRXHsHkskNkyusMHMcmN+S2JGR23LFLfvKDxLSSdCRaSZhRElYUx6HrkkJZ8zc7bMemvnU9GxtqaY7WA1AQLmNaxRzGF1fLB18GDja5wUKKcirw+6Wuxjr5DcgSx3GIJzuIJduIW1GSVgIfXusBHzIMkT1JK86Wpo/Z1PQBsWQ7AJWFU5haPkfusu4HB5ucYCFFsoaESCFhMYBs26Ij3krMbCdpxbzJ0tzWg1/6eLOuPd7CxsZatjbXYdkmfiPA5LJZTC2fTX64ZKiLN+zZjk1uqICinAoJCdGLhMV+cByHhBklmnBbD6YV91oNBu6d1fINNts6lynd2FjLzsgmwF07orryCCaVHUzQP/CTSY42tmO53U25EhKibxIWe8lxbNpiu4gno8StDkhpPcgVIoPHsk22t6xlQ2MtbbEmAEpyq5haMYeqoukyxUQ/uDfTFVCUW951P4kQfZGw6Ie4GSWWaCNudhCx6mmNlnpjDwYy+JBdPacGn1x+CImkOx1HwopiYDC+uJqp5XNkmdJ+chybcDCf4txyAtLyEv0kYZGG7VhE4xHiZgdxM4rtWF2tBp/hk+6lQZJuavCPti4DIOAPM71iLpPLZslMpv3khkQeRTkVBAMSEmLvSFiksXXXGnyGvysUpHtpcCStBNFEKx3evw0N76d9XjiQx/EzzyHgk/71/rAdm3Agj6LcCkISEmIfSVikIa2H7HAch7jZTkciQkei1QuG3f9PWvF+nSdhRiUo+sHGJuzP9UJC1rYW+0fCQgwoyzaJdgZAsnsoRBMRbMfqdYxh+MgLFlKcW0VeqJDcUBF5oSL09uV0JFp7PV+mBt8z27EJBXIoyq2QWWDFgJGwEGn1HFieUenOsuo4Dkkr7oWAGwY7zS00r9NEExFiZnva8wX8YQrCpeSFirww2B0KOcG8tGtzWLbZbcyik0wNnp7j2AQlJESWSFiIXtINLL+/5X9ZvWMFSSuOaSd6H9Th3t9Qmj+BPC8EckOFXf/fl/sdOmd5lanB98xxLDckcipkniuRNRIWopc19TVpt0eTEfLDJZSGxncLgx1bm5h10KFZmeNKpgbvm+PYBPxhinMnSEiIrJOwEF3a4y2s2/keHd76Dj0ZGBx/0Fd6bd9lxGQyxEHiOE7XwHVhbhk5wfyhLpIYIyQsBG2xXazb+R7bWtYC7h3pjmP3ep4MLA+NzoAI+cPkBPPJCxXLtBxi0GUtLJRSPuBBYC4QBy7VWq9J2X8B8D3AAh7XWj+klLoYuNh7Sg5wODAemAG8CKz29j2ktX46W2UfKyKxRtbWr2RH63oACnLKqK6ch+3YrNryWq/ny8Dy4LIcyw2IQD55YQkIMbSy2bL4IpCjtT5WKXUMcDdwVsr+u4DZQBvwoVLqKa31YmAxgFLqAdwQaVZKHQHco7W+O4vlHTNaojtZV7+S+shGAIpyKqiumkdl4dSu+0sMDBlYHgK2YxGUgBDDUDbD4njgJQCt9XKl1JE99r8PFAMm7uKhTucO77mztdZXepvmu5vVWbiti2u11pE9vXhtbe0+Fzxi7XDnfepDXV3dPp97KMXsVpqtjUQdd+K9sFFEiX8KuVYZzdsTNG9f3e35lRxKZQiwIVJvEanv+32P1DrJpv7WiePY+IwAfiNMkFxvUaaG7BZuiNTUpL94YiwbKXWSzbAoAlJHSi2lVEBrbXqPa4EaoB14XmvdnPLcm4BbUx6/Azymta5RSi0C/h1YsKcXnzNnDuHwvk1tsHXX6rTX/YP7ATBz5sx9Ou9QaWrfxrr6lTS2fwJAad54qquOGLCFgEZinWRbpjqxbYtAIExOII/8cPGYmPW1pqaG+fPnD3UxhpXhVCfxeHyPX7KzGRatQGHKY19nUCilDgO+AEzH7YZ6Qin1Fa31s0qpEuBgrXVqp/mSlDBZAtyXxXKPCp3rPKytX8mujm0AlOcfwIyqeZTlTxji0o1N3QOiSGZ8FSNKNsNiGXAG8Iw3ZrEqZV8LEAWiWmtLKVUPdF5qcwLwSo9zvayUulpr/Q5wCm6LRKThOA4NbVtYV/9u17rTFQWTqa6aR0neuCEu3dhj2zaBQEgCQox42QyLJcCpSqm3ccckLlFKnQ8UaK0fUUr9N/CWUioBrMUb2AYUsK7HuS4H7veeux34VhbLPSI5jsPOyEbW7lxJa9Tt764qnMqMqnkU51YOcenGFtu2MfDtvntdZnoVo0DWwkJrbQOX9dj8ccr+h4GH0xx3Z5pt7wLHDXQZRwPHcdjRup51O1cS8VaMG1c0neqqeRTmlA9x6caO1C6mvFAR2/2tFOdJSIvRQ27KG6Ecx2ZbyzrW7VxJe7wZMJhQXM2MynkUyM1zg8J2LAL+kHuZq7QgxCgnYTHC2I7NtuY1rNu5ko5EKwYGE0tmMqNyLvnhkqEu3qjnOBZ+CQgxBklYjBC2bfFJ82rW73yPaDKCYfiYVHow0yvnkhcqGurijXoy/bcY6yQshpme60hMqzgUy06yvuH/iCXb8Rl+JpfNYnrFXFl7ehC4IRGW6b/FmCdhMYykW0ei9pM3AHcd8Knlc5hWcZjMNDoIOqfdKMqtkPoWAgmLYWXdzpVptwf9OXz6oLOl+2MQuGtEhCjJGSctNyFSSFgMsYQZoyGymfrIRtriu9I+x7TiEhRZ5uDgNwIU5lXKGJAQaUhYDIH2eDP1kU3sbN3Iro4ddM6hKOtIDD7bsQn4AhTklJEfLh7q4ggxbElYDALbsWnu2MHOyCbqWzd2W4muJG8clYVTqCqcSmusUdaRGCTuTK9+inMryA+XDMiEikKMZhIWWWJaCRratrAzspGdkc0krTgAfl+AqqJpVBVOpaJwcrfupYKcUllHIsscx8EwDIpyKsjPkZAQor8kLAZQNBFxu5ciG2lq39bVpRQO5DO5bAaVhVMpy5/grVeQ3oSSagmHLHAcBww3kAtzSvucgl4IkZ6ExX5wHIfWaAP1kY3sjGzsmpsJ3NXnKgunUFU0lcKccvkGO0TclgTkh4spyi2XkBBiH0lY7CXbsahv3cjOyCZ2RjYRNzsAd3C6omAylYVTqCycIpddDjHHcS8ayAsXUZRbgU9CQoj9ImGRYt3O/2PV5tdo7thBfriUGZXueEE82eEOTkc20ZDczMZNbvdS0J/DxJKZVBVOobxgkqyXPEw4jk1uqIjivAp8hn+oiyPEqCBh4Vm38//4q36y63FbvIn3t/wvq3f8g2iytWt7kDwmVRxEZeEUSvKqpFtjGLEdm9xQIcU5Ffj98qstxECSvyjPqs29L1kFiCZbKc2fQFXhVCoLp/DJxh3MHC/rTQ8ntmOTGyygKLdCWndCZImEhae5oz7tdgODT00/PWXLjsEpkMjIcWzCwXyKc8tluVIhskzCwlOSV8Wuju29tsvd08OPbduEg3kU5VYQkvUkhBgU0uHuOXTyyWm3y93Tw4fjrUxXUTSJisIDJCiEGETSsvDMqJwLsPtqKLl7etA5jo3t2GCADx8YPvw+Pz7Dh98Ikh8uljUlhBgiWQsLpZQPeBCYC8SBS7XWa1L2XwB8D7CAx7XWD3nbVwKdkyet11pfopQ6EFiMO+NeLXCl1rr3jHv7aUblXGZUzmXrrtVyldMAcRwH27EAA8MwMFICwIcfn8+Pz3D/+f1BAr4QAV8Aw/DJjYxCDCPZbFl8EcjRWh+rlDoGuBs4K2X/XcBsoA34UCn1FBAF0Fqf1ONc9wA3a61fV0o97J1nSRbLLvbAcZzds+MaAA6G4cfv6x0APn+AoC+I3xfEZ/glAIQYobIZFscDLwForZcrpY7ssf99oBgwcT9yHNxWSJ5S6s9e2W7SWi8H5gNveMctBT7LPoSFaZrYduYGiWX2/RwDH2ZywBs1w5KDOzNrwB/Cb/gwOgPA8LnbfAF8hp/t/ghluRP7PpENlm1jMbzrzefzEQhIz6wQ6WTzL6OI3d1JAJZSKqC1Nr3HtUAN0A48r7VuVkp14LY4HgMOApYqpRRgaK0d77gIbsjsUW1tbbfHOTk5VFZWEgqFMhY8P1je5745M+dnPH7EcwDDDUYj9RoIh86lNzAtG5MEANXV1XR0dAx6MQdaIpFg586dxGKxATlfTU3NgJxnNJE66W2k1Ek2w6IVKEx57OsMCqXUYcAXgOm43VBPKKW+ArwArPGCoU4p1QhMgG5fSQuB5kwvPmfOHMJh92oZ0zRJJBLk5fVvcDRh9v1hEY/Hu847GhmGgc8I4Pf1f5qM9vZ28vNHxzrVBQUFhEKh/W5h1NTUMH/+GPhisRekTnobTnUSj8d7fclOlc1R3GXA5wG8MYtVKftacMcnolprC6gHSoFv4I5toJSaiNs62QasVEqd5B17GvDm3hTEtm3pXsjAMHwEfEGC/vBeBcVo4/f7+9VVKcRYk81P0CXAqUqpt3HHJC5RSp0PFGitH1FK/TfwllIqAazFvdoJYLFS6i3cDo9vaK1NpdT3gEeVUiHgI+C3WSz3mOIzfPh8AZmV1SMD8EKkl7Ww8C5tvazH5o9T9j8MPJzm0PPTnKsOOHFAC5jBM+9t4s7XPuaj+lYOqSpi4ckHc87hUwazCFklISGE2BvSN5PGM+9t4qIn/971uHZ7S9fjsw4Zt0/nvPPHd/Hhhx/R0NBALBpj0uRJlJaWcs+9d2U89uOPPua1117n8it6Zq/rrTeXsW3bNr5yztkZz+UzfPi9+xhSvfHGGzz++OP4fD4sy+Lss8/mzDPP7N+bE0KMemMyLK5/sYbf/t/GPvdvbU1/Zc+lz7zDzYU5absq/vXQSfzXF+b2ec6F1y8A4HdLfs/69eu57rvX9ru8Bx9yMAcfcnCf+4//zKcznsNn+L2QSN/Ncsstt/D73/+eoqIi2traOOuss/j0pz9NeXnfV4YJIcaOMRkWmSQtZ6+2748V76zg3nt+QjAY5OyvfJlwOIennnyq8wpV7rn3LtasXsMzzzzLnXf9mC+cdgaHzzucDRs2UF5ezr0/uZsXX/gD69ev55yvfoXrF36f8ePHs3nzZg49dA63/Pu/09ISYcGCBSQSCaZPn87y5cv5y1/+0q0c5eXl/PKXv+Rzn/scBx54IEuXLiUUCtHY2Mj3v/99IpEIjuNwxx13UFZWxsKFC2lra8OyLL797W9z8sknc/rppzNt2jRCoRC33norixYtYteuXQDcfPPNuFdBCyFGojEZFj8+Yz4/PqPvy9Xm3vkCtdtbem0/dEIxb15+4oBfOhuPJ/jNU78G4NFHHuOBh+4nNzeXW2/5D5Yte5txVVVdz92yZQs/f/xRxk8Yz4UXXERt7QfdzrVxw0YeefRh8vMK+Nxn/4WmpmYeffRRTjnlFC644AKWLVvGsmXLepXhoYceYvHixXz3u9+lqamJc889l6uuuoqHHnqIf/qnf+K8887jb3/7G++//z4fffQRxx13HBdddBE7duzg3HPP5cQTT6Sjo4MrrriCWbNmceedd3LMMcdw/vnns2HDBm688UaefPLJXq8rhBgZxmRYZLLw5IO7jVl0WnBS311B+2Pa9Gld/y8rK2PRTT8gLy+X9es3MHdu966tktISxk8YD8D4CeNIxONd+wwMpkydQklRGYZhUFlZSTweZ+3atXzpS18C4Mgje95IDy0tLWzdupWFCxeycOFCduzYwdVXX83s2bNZv349Z5/tjoUce+yxAPzhD3/gjDPOAGDcuHHk5+fT1NQEwPTp0wGoq6tj+fLlLF26FIDW1taeLyuEGEEkLNLovOrprtc/5qMdrRwyrogFJ7lXQ8VTPpwHis/njiNEIhEefOBB/vzKywB869Jv49C968ug95iDgeENXAfxpZmAb+bMmaxcuZJDDjmE9957r9fxiUSCa6+9lt/85jdMmDCByspKKioqCIVCVFdXs2rVKg4++GBWrFjB66+/TnV1Nf/4xz+YNWsWO3bsIBKJUFJS4r0Xd+B8xowZnHnmmZxxxhk0Njby7LPP7n9FCSGGjIRFH845fMqgXypbUFDA4fPmcc7Z55Kbl0tRURE763cy6YAD+jjCwO8L4PfveZbWb37zm1x//fUsXbqUqqqqXjcoVlZWcvPNN3PVVVcRCASwLIuTTjqJ448/nlmzZnHTTTfxwgsvAPCjH/2IwsJCbrrpJl5++WVisRiLFi3qdc7LLruMRYsW8cwzz9DW1sZVV1213/UjhBg6huMM/KDtUKqpqZkGrE+d7iORcOcw6s+8UDD8p/swDB9+w53dtT/eeOMNSktLOeyww3j77bd5+OGH+eUvfzlg5RlN033s7e9KX4bTNA7DhdRJb8OpTlKm+5g+f/78DT33S8tiBNnXG+kmTZrETTfd1DWVxaJFi7JUQiHEaCVhMQL0dSNdf1VXV/P0008PcKmEEGOJhMUw5t5I55dV+4QQQ07CYpjpXFxIlhUVQgwnEhZDzMBdl9odjxi7U4MLIYY3CYs+bGhYxYdb36SlYyfFeZXMmvgZplUcOiDnNgwDA5+3VrV0MQkhhj/5pEpjQ8Mq3l7zHM0d9Tg4NHfU8/aa59jQsCrzwX0wDIN1a9dz1RVX842LL+Wr55zL/ffdTzYvXb7++uv57W+7L/2xePFi7r333j6P+fSn3UkJf/jDH7J169Zu+9auXcuFF164x9d84oknAPjrX/+634Pqb7zxBhdddBGXXHIJX//617vu9RBCDL4x2bJYsf5PbGh4v8/9HYn0U1MsX7uEnGBhmnuoYUr5bOZN/Wy3bV3dS4afSCTCwgXXc9999zFt2jQsy+Kaa67hqaee4rzzztuft9Onc845h5/+9Kdd03UALFmyhAceeCDjsft6ee1DDz3E1772NU444YR9Oj6VzIQrxPAxJsMiE8dJv6ym3cf2VKkBkTpA/eqrr3L00Uczbdo0wF2+84477iAYDPL3v/+du+66i2AwyDnnnENlZSU/+clPCIfDlJSU8KMf/QjTNLn22mtxHIdkMsmtt97KtGnTuOaaa2hrayMWi7Fw4UKOPvrortc88sgjaWpq4pNPPuGAAw7g/fffp6KigkmTJlFXV8ftt9+Obdu0trZy8803c8QRR3Qde+GFF3LLLbdQWFjIggULcByHysrKrv0vvfQSv/61O/mhZVncf//9PP3007S0tHDLLbdw2GGHsW7dOhYsWMDjjz/OH//4RwKBAEceeSQLFy7kvvvuY8uWLTQ2NrJ161ZuvPFGPvOZz3Sry/2ZCfeaa67h2GOPlZlwhRggYzIsjpr+eY6a/vk+9//u3Xto7qjvtb0kbxynqG/0uoPbvXrJn3Zepk719fVMnjy527bUu57j8TjPPvssjuNwyimn8OSTTzJu3Dh+8Ytf8NBDD3H00UdTWFjI3XffzZo1a2hra2PTpk00NDSwePFiGhsb2bBhQ6/XPfvss3nhhRe4/PLLef755zn33HMBWLNmDTfccANKKV588UWef/75bmHR6X/+5384/fTTOeecc/jTn/7UNXPshg0beOSRR8jNzeXGG2/krbfe4vLLL+eJJ57glltu4fnnnwdAa83SpUt56qmnCAQCXH311bz22muAe5f0Y489xrJly3j88cd7hcX+zIR73nnn8corr8hMuEIMEBmzSGPWxM/0sf14b4zBwGf4CfiCBP1hAv6Qdz9E35e6Tpw4ke3bt3fbtnnzZlasWAHsnq11165dFBQUMG6cuyLfUUcdxerVqznhhBM46qijuOKKK/jZz36Gz+fjoIMO4oILLuC73/0ut956K7bdu+Vz1llnsXTpUuLxOO+88w4nn3wyAFVVVTz44IPccMMNvPzyy5immbbcq1ev5rDDDgPoFibl5eXccMMN3HjjjaxevbrP49etW8fcuXMJBoMYhsGRRx7J6tWrATjkkEMAGD9+fNc0G51SZ8LtDLM333yT1157jfXr1zNv3jzAnQn3zDPPZO3atRx11FGAOxNuQUFB2plwn3vuOS688EJ+8IMfyEy4QuwFCYs0plUcynEHfpmSvHEYho+SvHF8+sCzmVF5OD4jQCgQJuAP4ssQEKlOPvlk3nzzTTZt2gRAMpnk9ttvp66uDtg9W2tpaSltbW3U17stm3feeYdp06bx97//naqqKh5//HEuv/xy7rnnHrTWtLe388gjj3D77bfzn//5n71et6ysjOrqah588EFOPfXUrgn/fvjDH/Kd73yHO+64g5kzZ/Y50D5jxgxWrlwJwKpV7gB/JBLhZz/7Gffeey+33XYb4XC46/ie55kxYwbvv/8+pmniOA4rVqzo+vDeU911zoS7bds2gLQz4QKsWLGCO++8s2smXIAdO3bQ2tqadibciy++mF/96lf85Cc/6ZpmXQiR2ZjshuqPaRWHMr3ysF6XuBokMhyZXkFBAbfffjs333wzjuPQ3t7OySefzPnnn88777zT9TzDMLjtttu4+uqrMQyD4uJi/uu//gvDMLjuuuv4xS9+gc/n48orr2TatGk88MAD/O53vyMYDPKd73wn7Wufc845fPOb3+Sll17q2nbmmWdyxRVXUF5ezvjx47v68Xu65ppruO666/jTn/7EpEmTut7LEUccwZe+9CXy8vLIz8/vCrfq6moWLFjAcccdB4BSitNOO43zzjsP2/7/7d19jBx1Hcfx9/XKUQrHkxFRjJ5BqwAACSpJREFUIkKKfkSwBY4ngZOqRUXUorHRFAhBQFBBEETlqUIBiYGi8tRaSikPgljkbMUIBgNCIVo4qxRLP4EiJBAUlQClV9q76/nHb7Zdd/du73q7ud7s95VcMrs7O/ebb3+d3838Zr7fDbS1tTFlyhRWrlw5YLyGmwl35syZkQk3hBqqW9ZZSWOAG4FJwDrgFNvPFX1+HHAu0AvMtz1b0lbAfGAPYGvgctuLJR0A/AZ4Nvv6bNsV78usRdbZ3g09G5+iLpWnDKu1kqeYRNbZ+omYlNuSYjKSWWePBcbZ/oikQ4FZwNSiz68G9gHeAlZI+kX2nf/aPkHSO4BlwGLgAOAa27Pq2N6NmsfECVcIIRSr51HxCOB+ANt/klRaz/MpYAegB2gC+oCFQPFTZIVZ0zZAkqaSzi7Otr16oF+ejZAbTZgwge7u7s3bkxJr1qypyXbyJC8x6e7uZtWqVTXZVmdnZ022kycRk3KjJSb1HCy2B94oet0raaztwgDwNNAJrAHutf16YUVJraRB46LsraXAPNudki4EfgB8Z6BfXnwZqqenh/Xr1zN+/Phh71SeLrnUSp5i0tXVxaRJk8rmO4ZqS7q8sKWImJTbkmJSdBmqonoOFm8CrUWvxxQGCkkTgWOAPUmXoe6QNM32QknvBTqAG23fmX23o2gw6QCuG0pDxo4dy9q1a+nq6qK5efB3MFXS3d1ddptno8tDTPr6+ujt7aW3t3fYA0UIeVTPW2cfAz4DkM1ZFCdWegNYC6y13Qu8Cuwk6V3A74Hv2Z5ftP4Dkg7Olj9BOiMZktbWVlpaWoad9rtWlyjyJA8xaWpqoqWlhdbW1uorh9CA6vknVAdwlKTHSXMSJ0maDmxne66knwFLJK0HVgELgKuAnYCLJV2cbedo4OvA9dm6/wS+tjkNqtVfjMO9UyaPIiYh5FvdBgvbG4DTS95eWfT5HGBOyednZT+l/gIcVtMGhhBCGLR4gjuEEEJVeZzJawbqOuG6bt26um17tIqYlIuYlIuYlNtSYlJ0zKxYsrNuT3CPlM7OziOAR0e6HSGEMEq1t7W1LSl9M49nFk8A7cArpFQiIYQQqmsG3k06hpbJ3ZlFCCGE2osJ7hBCCFXFYBFCCKGqGCxCCCFUFYNFCCGEqmKwCCGEUFUeb53dbJIOAX5ke7KkvUj5qvpI6dS/aXuDpFOB00i1Ni63fZ+kbYA7gF2A1cCJtv89IjtRYyUxqVixsFFiUqmSI7CCBu4n/cTkJRq7nzQDNwEi3b5/Eik/3gJGcT+JM4uMpO8C84Bx2VvXABfZbif9Q0+VtCvwLeBw4FPAlZK2JiU6XJ6texub6nCMahViUqhYODn7ubvBYnI8qZJjOynB5fVEP6kUk0bvJ58DsH04MIPUR0Z9P4nBYpNVwBeLXrcBf8yWfwdMAQ4GHrO9zvYbwHPARIqqAhatmweVYnKMpEck3ZwVqWqkmCwELi563UP0k/5i0rD9xPav2ZQZ+33Av8hBP4nBImP7V0Bx3dUm24UnFleTSsCWVv+r9H7hvVGvQkyWAufZ/ijwPKliYcPExPZbtleXVHJs6H7ST0waup8A2O6RdCupUNs95KCfxGDRvw1Fy63A65RX/6v0fuG9POqwXSg81QHsT4PFJKvk+BBwe1bJseH7SYWYNHw/AbB9IvAB0vzFNkUfjcp+EoNF/5ZJmpwtH01KTrgUaJc0TtIOwN6kyaqNVQGL1s2jShULGyYm/VRybOh+0k9MGr2fnCDp/OxlF+kPiidHez+Ju6H6dy5wk6QW4BngHtu9kq4l/eONAS60/bak2cCtkpYA64HpI9bq+iqrWGj7zQaKyQWUV3I8C7i2gftJpZicA/ykgfvJvcAtkh4BtgLOJvWNUX08iUSCIYQQqorLUCGEEKqKwSKEEEJVMViEEEKoKgaLEEIIVcVgEUIIoaq4dTaMapJuIOXWaQH2IiX2A/ip7VsGuY2ZwJO2Fw+wzl9t71eD9vbZbtqM750KvGX7ruG2IYTNEbfOhlyQtAfwsO09RrgpAxrGYLGAtH8Lat6oEAYhzixCbkm6BDgU2J2Uo2cFcAUwHtgR+LbtRYUDcfbTQXqKdn9SArhptl8rHOSzbe4GvJ+UJG6e7SuyVN1zSEngXialor7M9sP9tG0y6YG2LtKTu8tJD1+NA+4Cds1WvTRb5/PAxyW9km3/OmA7UhrrK23PGaBt44AbsrZ1Z+26W9JBwI+zePwHOM32PySdA5xIevJ4qe3ThhL3kE8xZxHybpztD9meDZwJnGL7AOAUUu2FUpNI6bX3JeXkOa7COhOBTwKHAN+XtCNwOrAt8EFS/YKDBtG2w4AzSIPF7qQ01V8AXrDdBpwMtNt+EFgMzLD9QKHttg8CPgZcVaVtZ5IGlr1JGUxnZE8SzwOmZ/GYRXrCuBk4HziQlCm1RdJug9iXkHNxZhHy7s9Fy8cDn5U0jXTGsV2F9V+1vSxbfhrYucI6D9leD7wq6TVSVtCjgJuyzKIvSvrDINr2tO2XACQ9k/2ux4EfZgfo3wKXVfjeucCns/xDHy7Zj0ptOxKYa3sDKf3GPpL2BSYAiyUVvrt9loLiceAJYBEwy/bLg9iXkHNxZhHybm3R8qOkGgKdpMtRleYO3i5a7hvCOr0M/f9T2XZsP0s6O/k50A4slVS63V+SzkBWABcOom3d2TIAWRXIZuB52/tlE/dtpMtUAMeS8oA1AfdLOnKI+xVyKAaL0BAk7UxKFz2DVFBmKumAWSsPAl+R1CTpPcBkig7QQ2jnGcClthcC3yDNSWxPKipUuBJwFOmS1CJSVtJCKc/+PAJ8OWvbLqQiPC8AO0tqz9b5KnCnpHeSBqHltmeQMspOHOp+hPyJwSI0BNuvATcDfydl/WwFxkvatka/Yi6pUM1y4FbgRf7/rGawbgMkaTnpTOg826+TBqMLJH0JuARYImkF6ezjBWDPAbZ5I7AG+Fu2nTOzymzTgFmSniJNaJ+c1XqeCzwhqZM04T6/8mZDI4lbZ0OoAUnHkC4j3ZfVJlgGHJgNUiGMejFYhFADkvYEbmfTZPPVtu8YwSaFUFMxWIQQQqgq5ixCCCFUFYNFCCGEqmKwCCGEUFUMFiGEEKqKwSKEEEJV/wMFpu55kwjIUQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dt=create_model('et')\n", "plot_model(estimator = dt, plot = 'learning')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "- Application of Factor Analysis to k-means Clustering Algorithm on Transportation Data.\n", "Read the\n", " paper \n", "- Find Optimal Number of Clusters \n", "- Silhouette coefficient \n", "- Gap Statistics\n", "- PCA\n", "- principal-component-analysis-and-k-means-clustering\n", "- PCA & Kmeans \n", "\n", "- Outlier detection & removal \n", "\n", "- Silhouette \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## FUNCTIONS" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:36:36.749993Z", "start_time": "2021-02-16T07:32:10.554Z" } }, "outputs": [], "source": [ "from sklearn import metrics\n", "from sklearn.metrics import pairwise_distances" ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true }, "source": [ "### normalize_df()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:36:36.751992Z", "start_time": "2021-02-16T07:32:10.565Z" }, "hidden": true }, "outputs": [], "source": [ "def normalize_df(df):\n", "#normalizing before VIF\n", " min_max_scaler = preprocessing.MinMaxScaler()\n", " df_scaled = min_max_scaler.fit_transform(df)\n", " Scaled_df_used=pd.DataFrame(df_scaled,columns=df.columns.tolist(),index=df.index)\n", " return df_scaled,Scaled_df_used" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### calculate_vif_(X, thresh)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:36:36.753990Z", "start_time": "2021-02-16T07:32:10.571Z" } }, "outputs": [], "source": [ "#VIF Treatment \n", "from joblib import Parallel, delayed\n", "\n", "# Defining the function that you will run later\n", "import time \n", "from joblib import Parallel, delayed\n", "\n", "# Defining the function that you will run later\n", "def calculate_vif_(X, thresh=5):\n", "# for thresh in thresh:\n", "# print('running for threshold= ',thresh)\n", " variables = [X.columns[i] for i in range(X.shape[1])]\n", " dropped=True\n", " while dropped:\n", " dropped=False\n", " print(len(variables))\n", " vif = Parallel(n_jobs=-1,verbose=5)(delayed(variance_inflation_factor)(X[variables].values, ix) \n", " for ix in range(len(variables)))\n", "\n", " maxloc = vif.index(max(vif))\n", " if max(vif) > thresh:\n", " print(time.ctime() + ' dropping \\'' + X[variables].columns[maxloc] + '\\' at index: ' + str(maxloc))\n", " variables.pop(maxloc)\n", " dropped=True\n", "\n", " print('Remaining variables:')\n", " print([variables])\n", " #return X[[i for i in variables]]\n", " return (variables)" ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true }, "source": [ "### PCA_components(df)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:36:36.757988Z", "start_time": "2021-02-16T07:32:10.582Z" }, "hidden": true }, "outputs": [], "source": [ "import plotly.express as px\n", "from sklearn.decomposition import PCA\n", "\n", "def PCA_components(df):\n", " \"\"\"\n", " input to this function is scaled array of dataframe to be used\n", " \"\"\"\n", " pca = PCA()\n", " pca.fit(df)\n", " exp_var_cumul = np.cumsum(pca.explained_variance_ratio_)\n", "\n", " return (px.area(\n", " x=range(1, exp_var_cumul.shape[0] + 1),\n", " y=exp_var_cumul,\n", " labels={\"x\": \"# Components\", \"y\": \"Explained Variance\"}\n", " ))\n", " " ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true }, "source": [ "### elbow_kmeans(Cluster_data_used)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:36:36.760987Z", "start_time": "2021-02-16T07:32:10.589Z" }, "hidden": true }, "outputs": [], "source": [ "#!pip install yellowbrick\n", "from sklearn.cluster import KMeans\n", "from scipy.spatial.distance import cdist\n", "from yellowbrick.cluster import KElbowVisualizer\n", "\n", "def elbow_kmeans(Cluster_data_used):\n", "#within cluster sunm of squares=WCSS\n", " WCSS = []\n", " #distortions = []\n", " for i in range(1,31):\n", " kmeans = KMeans(n_clusters=i,init = 'k-means++',max_iter=500, n_init = 10, random_state = 0)\n", " kmeans.fit(Cluster_data_used)\n", " WCSS.append(kmeans.inertia_)\n", " #using scipy\n", " #distortions.append(sum(np.min(cdist(Cluster_data_used, kmeans.cluster_centers_, 'euclidean'), axis=1)) / Cluster_data_used.shape[0])\n", "\n", " plt.plot(range(1,31),WCSS,marker='o', color='c')\n", " plt.title('The Elbow Method showing the optimal k')\n", " plt.xlabel('# of clusters')\n", " plt.ylabel('WCSS')\n", "\n", " plt.show()\n", " # Elbow Method for K means\n", " # Import ElbowVisualizer\n", " \n", " model = KMeans()\n", " # k is range of number of clusters.\n", " visualizer = KElbowVisualizer(model, k=(2,30), timings= True)\n", " visualizer.fit(Cluster_data_used) # Fit data to visualizer\n", " visualizer.show() \n", " return " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### avg_silhouette(Cluster_data_used,range_n_clusters)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:36:36.763985Z", "start_time": "2021-02-16T07:32:10.595Z" } }, "outputs": [], "source": [ "from sklearn.metrics import silhouette_samples, silhouette_score\n", "import matplotlib.cm as cm\n", "from yellowbrick.cluster import KElbowVisualizer\n", "\n", "def avg_silhouette(Cluster_data_used,range_n_clusters):\n", " for n_clusters in range_n_clusters:\n", " # Create a subplot with 1 row and 2 columns\n", "# fig, ax1 = plt.subplots(1, 1)\n", "# fig.set_size_inches(18, 7)\n", "\n", " # The 1st subplot is the silhouette plot\n", " # The silhouette coefficient can range from -1, 1 but in this example all\n", " # lie within [-0.1, 1]\n", "# ax1.set_xlim([-0.1, 1])\n", "# # The (n_clusters+1)*10 is for inserting blank space between silhouette\n", "# # plots of individual clusters, to demarcate them clearly.\n", "# ax1.set_ylim([0, Cluster_data_used.shape[0] + (n_clusters + 1) * 10])\n", "\n", " # Initialize the clusterer with n_clusters value and a random generator\n", " # seed of 10 for reproducibility.\n", " clusterer = KMeans(n_clusters=n_clusters, random_state=10)\n", " cluster_labels = clusterer.fit_predict(Cluster_data_used)\n", "\n", " # The silhouette_score gives the average value for all the samples.\n", " # This gives a perspective into the density and separation of the formed\n", " # clusters\n", " silhouette_avg = silhouette_score(Cluster_data_used, cluster_labels)\n", " print(\"For n_clusters =\", n_clusters,\n", " \"The average silhouette_score is :\", silhouette_avg)\n", " \n", " plt.show()\n", " \n", " # Silhouette Score for K means\n", " # Import ElbowVisualizer\n", " model = KMeans()\n", " # k is range of number of clusters.\n", " visualizer = KElbowVisualizer(model, k=(2,30),metric='silhouette', timings= True)\n", " visualizer.fit(Cluster_data_used) # Fit the data to the visualizer\n", " visualizer.show() \n", " return " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### gap_statistics(Cluster_data_used)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:36:36.765984Z", "start_time": "2021-02-16T07:32:10.602Z" } }, "outputs": [], "source": [ "# !pip install gap-stat==2.0.1\n", "# !pip install gapstat-rs" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:36:36.768983Z", "start_time": "2021-02-16T07:32:10.607Z" } }, "outputs": [], "source": [ "# !pip install gap-stat==2.0.1\n", "# !pip install gapstat-rs\n", "\n", "from gap_statistic import OptimalK\n", "\n", "def gap_statistics(Cluster_data_used):\n", " optimalK = OptimalK(parallel_backend='rust')\n", " n_clusters = optimalK(Cluster_data_used, cluster_array=np.arange(1, 8))\n", " print('Optimal clusters: ', n_clusters)\n", " #print(optimalK.gap_df)\n", " plt.plot(optimalK.gap_df.n_clusters, optimalK.gap_df.gap_value, linewidth=3)\n", " plt.scatter(optimalK.gap_df[optimalK.gap_df.n_clusters == n_clusters].n_clusters,\n", " optimalK.gap_df[optimalK.gap_df.n_clusters == n_clusters].gap_value, s=250, c='r')\n", " plt.grid(True)\n", " plt.xlabel('Cluster Count')\n", " plt.ylabel('Gap Value')\n", " plt.title('Gap Values by Cluster Count')\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true }, "source": [ "### dunn(k_list)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:36:36.770981Z", "start_time": "2021-02-16T07:32:10.614Z" }, "hidden": true }, "outputs": [], "source": [ "#function for dun index\n", "#couldnot import jqmcvi so copying the relevant three functions to calculating dunn index\n", "\n", "import numpy as np\n", "from sklearn.metrics.pairwise import euclidean_distances\n", "\n", "def delta(ck, cl):\n", " values = np.ones([len(ck), len(cl)])*10000\n", " \n", " for i in range(0, len(ck)):\n", " for j in range(0, len(cl)):\n", " values[i, j] = np.linalg.norm(ck[i]-cl[j])\n", " \n", " return np.min(values)\n", " \n", "def big_delta(ci):\n", " values = np.zeros([len(ci), len(ci)])\n", " \n", " for i in range(0, len(ci)):\n", " for j in range(0, len(ci)):\n", " values[i, j] = np.linalg.norm(ci[i]-ci[j])\n", " \n", " return np.max(values)\n", " \n", "def dunn(k_list):\n", " \"\"\" Dunn index [CVI]\n", " \n", " Parameters\n", " ----------\n", " k_list : list of np.arrays\n", " A list containing a numpy array for each cluster |c| = number of clusters\n", " c[K] is np.array([N, p]) (N : number of samples in cluster K, p : sample dimension)\n", " \"\"\"\n", " deltas = np.ones([len(k_list), len(k_list)])*1000000\n", " big_deltas = np.zeros([len(k_list), 1])\n", " l_range = list(range(0, len(k_list)))\n", " \n", " for k in l_range:\n", " for l in (l_range[0:k]+l_range[k+1:]):\n", " deltas[k, l] = delta(k_list[k], k_list[l])\n", " \n", " big_deltas[k] = big_delta(k_list[k])\n", "\n", " di = np.min(deltas)/np.max(big_deltas)\n", " return di\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### get_scores(data,data_with_labels,model,label_column,algorithm_name)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:36:36.773980Z", "start_time": "2021-02-16T07:32:10.619Z" } }, "outputs": [], "source": [ "def get_scores(data,data_with_labels,model,label_column,algorithm_name):\n", " \"\"\"\n", " data is array version of data fit into the model,model is clustering model,\n", " label_colun is the column that has labels predicted, name of algorithm\n", " \"\"\"\n", " silhouette_score=metrics.silhouette_score(data, model.labels_, metric='euclidean')\n", " calinski_harabasz_score=metrics.calinski_harabasz_score(data, model.labels_)\n", " davies_bouldin_score=metrics.davies_bouldin_score(data, model.labels_)\n", " te=data_with_labels.copy()\n", " klist=[]\n", " clus={}\n", " for i in np.unique(te[label_column]):\n", " clus[i]=te.loc[te[label_column]==i]\n", " for (key,values) in clus.items():\n", " klist.append(clus[key].values)\n", " dun_val=dunn(klist)\n", " metrics_=[\"silhouette_score\",\"calinski_harabasz_score\",\"davies_bouldin_score\",\"dunn index\"]\n", " algorithms_=[algorithm_name]\n", " score=pd.DataFrame([silhouette_score,calinski_harabasz_score,davies_bouldin_score,dun_val],columns=algorithms_,index=metrics_)\n", " return score " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### K_means(Cluster_data_used,k)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:36:36.777979Z", "start_time": "2021-02-16T07:32:10.625Z" } }, "outputs": [], "source": [ "from sklearn import metrics\n", "from time import time\n", "from sklearn.cluster import KMeans\n", "from sklearn.decomposition import PCA\n", "\n", "def K_means(Cluster_data_used,k):\n", " X=np.array(Cluster_data_used)\n", " #KMeans++ removes the drawback of K means which is it is dependent on initialization of centroid\n", " kmodel=KMeans(init='k-means++', n_clusters=k, n_init=10,max_iter=500)\n", " kmodel.fit(X)\n", " clusters = kmodel.predict(Cluster_data_used)\n", " Cluster_data_used_copy=Cluster_data_used.copy()\n", " Cluster_data_used_copy[\"Cluster_Kmeans\"]=clusters\n", " score=get_scores(X,Cluster_data_used_copy,kmodel,\"Cluster_Kmeans\",\"K-means\")\n", " return score " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### plot_k_means_2D()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:36:36.779976Z", "start_time": "2021-02-16T07:32:10.631Z" } }, "outputs": [], "source": [ "import plotly as py\n", "import plotly.graph_objs as go\n", "from plotly.offline import download_plotlyjs, init_notebook_mode, plot, iplot\n", "\n", "def plot_k_means_2D(df,n_clusters):\n", " Cluster_data_used=df\n", " X=np.array(Cluster_data_used)\n", " #KMeans++ removes the drawback of K means which is it is dependent on initialization of centroid\n", " kmodel=KMeans(init='k-means++', n_clusters=n_clusters, n_init=10,max_iter=500)\n", " kmodel.fit(X)\n", " clusters = kmodel.predict(Cluster_data_used)\n", " Cluster_data_used_copy=Cluster_data_used.copy()\n", " Cluster_data_used_copy[\"Cluster_Kmeans\"]=clusters\n", " ############################################################\n", " #plotX is a DataFrame containing 5000 values sampled randomly from X\n", " plotX = pd.DataFrame(np.array(Cluster_data_used_copy))\n", "\n", " #Rename plotX's columns since it was briefly converted to an np.array above\n", " plotX.columns = Cluster_data_used_copy.columns\n", "\n", " #PCA with one principal component\n", " pca_1d = PCA(n_components=1)\n", "\n", " #PCA with two principal components\n", " pca_2d = PCA(n_components=2)\n", "\n", " #PCA with three principal components\n", " pca_3d = PCA(n_components=3)\n", "\n", " #This DataFrame holds that single principal component mentioned above\n", " PCs_1d = pd.DataFrame(pca_1d.fit_transform(plotX.drop([\"Cluster_Kmeans\"], axis=1)))\n", "\n", " #This DataFrame contains the two principal components that will be used\n", " #for the 2-D visualization mentioned above\n", " PCs_2d = pd.DataFrame(pca_2d.fit_transform(plotX.drop([\"Cluster_Kmeans\"], axis=1)))\n", "\n", " #And this DataFrame contains three principal components that will aid us\n", " #in visualizing our clusters in 3-D\n", " PCs_3d = pd.DataFrame(pca_3d.fit_transform(plotX.drop([\"Cluster_Kmeans\"], axis=1)))\n", "\n", " PCs_1d.columns = [\"PC1_1d\"]\n", "\n", " #\"PC1_2d\" means: 'The first principal component of the components created for 2-D visualization, by PCA.'\n", " #And \"PC2_2d\" means: 'The second principal component of the components created for 2-D visualization, by PCA.'\n", " PCs_2d.columns = [\"PC1_2d\", \"PC2_2d\"]\n", "\n", " PCs_3d.columns = [\"PC1_3d\", \"PC2_3d\", \"PC3_3d\"]\n", " #We concatenate these newly created DataFrames to plotX so that they can be used by plotX as columns.\n", " plotX = pd.concat([plotX,PCs_1d,PCs_2d,PCs_3d], axis=1, join='inner')\n", "\n", " cluster0 = plotX[plotX[\"Cluster_Kmeans\"] == 0]\n", " cluster1 = plotX[plotX[\"Cluster_Kmeans\"] == 1]\n", " cluster2 = plotX[plotX[\"Cluster_Kmeans\"] == 2]\n", " cluster3 = plotX[plotX[\"Cluster_Kmeans\"] == 3]\n", " #cluster4 = plotX[plotX[\"Cluster_Kmeans\"] == 4]\n", "\n", "#####################################################################\n", " trace1 = go.Scatter(\n", " x = cluster0[\"PC1_2d\"],\n", " y = cluster0[\"PC2_2d\"],\n", " mode = \"markers\",\n", " name = \"Cluster 1\",\n", " marker = dict(color = 'rgba(255, 128, 255, 0.8)'),\n", " text = None)\n", "\n", " #trace2 is for 'Cluster 1'\n", " trace2 = go.Scatter(\n", " x = cluster1[\"PC1_2d\"],\n", " y = cluster1[\"PC2_2d\"],\n", " mode = \"markers\",\n", " name = \"Cluster 2\",\n", " marker = dict(color = 'rgba(255, 128, 2, 0.8)'),\n", " text = None)\n", "\n", " #trace3 is for 'Cluster 3'\n", " trace3 = go.Scatter(\n", " x = cluster2[\"PC1_2d\"],\n", " y = cluster2[\"PC2_2d\"],\n", " mode = \"markers\",\n", " name = \"Cluster 3\",\n", " marker = dict(color = 'rgba(0, 255, 200, 0.8)'),\n", " text = None)\n", "\n", " #trace4 is for 'Cluster 4'\n", " trace4 = go.Scatter(\n", " x = cluster3[\"PC1_2d\"],\n", " y = cluster3[\"PC2_2d\"],\n", " mode = \"markers\",\n", " name = \"Cluster 4\",\n", " marker = dict(color = 'rgba(255, 255, 100, 0.8)'),\n", " text = None)\n", "\n", " # #trace5 is for 'Cluster 5'\n", " # trace5 = go.Scatter(\n", " # x = cluster4[\"PC1_2d\"],\n", " # y = cluster4[\"PC2_2d\"],\n", " # mode = \"markers\",\n", " # name = \"Cluster 5\",\n", " # marker = dict(color = 'rgba(255, 255, 2, 0.8)'),\n", " # text = None)\n", "\n", " data = [trace1, trace2, trace3,trace4]#,trace5]\n", "\n", " title = \"Visualizing Clusters in Two Dimensions Using PCA\"\n", "\n", " layout = dict(title = title,\n", " xaxis= dict(title= 'PC1',ticklen= 5,zeroline= False),\n", " yaxis= dict(title= 'PC2',ticklen= 5,zeroline= False)\n", " )\n", "\n", " fig = dict(data = data, layout = layout)\n", "\n", " iplot(fig)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### plot_k_means_3D()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2021-02-16T07:36:36.782975Z", "start_time": "2021-02-16T07:32:10.637Z" } }, "outputs": [], "source": [ "import plotly as py\n", "import plotly.graph_objs as go\n", "from plotly.offline import download_plotlyjs, init_notebook_mode, plot, iplot\n", "\n", "def plot_k_means_3D(df,n_clusters):\n", " Cluster_data_used=df\n", " X=np.array(Cluster_data_used)\n", " #KMeans++ removes the drawback of K means which is it is dependent on initialization of centroid\n", " kmodel=KMeans(init='k-means++', n_clusters=n_clusters, n_init=10,max_iter=500)\n", " kmodel.fit(X)\n", " clusters = kmodel.predict(Cluster_data_used)\n", " Cluster_data_used_copy=Cluster_data_used.copy()\n", " Cluster_data_used_copy[\"Cluster_Kmeans\"]=clusters\n", " ############################################################\n", " #plotX is a DataFrame containing 5000 values sampled randomly from X\n", " plotX = pd.DataFrame(np.array(Cluster_data_used_copy))\n", "\n", " #Rename plotX's columns since it was briefly converted to an np.array above\n", " plotX.columns = Cluster_data_used_copy.columns\n", "\n", " #PCA with one principal component\n", " pca_1d = PCA(n_components=1)\n", "\n", " #PCA with two principal components\n", " pca_2d = PCA(n_components=2)\n", "\n", " #PCA with three principal components\n", " pca_3d = PCA(n_components=3)\n", "\n", " #This DataFrame holds that single principal component mentioned above\n", " PCs_1d = pd.DataFrame(pca_1d.fit_transform(plotX.drop([\"Cluster_Kmeans\"], axis=1)))\n", "\n", " #This DataFrame contains the two principal components that will be used\n", " #for the 2-D visualization mentioned above\n", " PCs_2d = pd.DataFrame(pca_2d.fit_transform(plotX.drop([\"Cluster_Kmeans\"], axis=1)))\n", "\n", " #And this DataFrame contains three principal components that will aid us\n", " #in visualizing our clusters in 3-D\n", " PCs_3d = pd.DataFrame(pca_3d.fit_transform(plotX.drop([\"Cluster_Kmeans\"], axis=1)))\n", "\n", " PCs_1d.columns = [\"PC1_1d\"]\n", "\n", " #\"PC1_2d\" means: 'The first principal component of the components created for 2-D visualization, by PCA.'\n", " #And \"PC2_2d\" means: 'The second principal component of the components created for 2-D visualization, by PCA.'\n", " PCs_2d.columns = [\"PC1_2d\", \"PC2_2d\"]\n", "\n", " PCs_3d.columns = [\"PC1_3d\", \"PC2_3d\", \"PC3_3d\"]\n", " #We concatenate these newly created DataFrames to plotX so that they can be used by plotX as columns.\n", " plotX = pd.concat([plotX,PCs_1d,PCs_2d,PCs_3d], axis=1, join='inner')\n", "\n", " cluster0 = plotX[plotX[\"Cluster_Kmeans\"] == 0]\n", " cluster1 = plotX[plotX[\"Cluster_Kmeans\"] == 1]\n", " cluster2 = plotX[plotX[\"Cluster_Kmeans\"] == 2]\n", " cluster3 = plotX[plotX[\"Cluster_Kmeans\"] == 3]\n", " #cluster4 = plotX[plotX[\"Cluster_Kmeans\"] == 4]\n", "\n", "#####################################################################\n", " trace1 = go.Scatter3d(\n", " x = cluster0[\"PC1_3d\"],\n", " y = cluster0[\"PC2_3d\"],\n", " z = cluster0[\"PC3_3d\"],\n", " mode = \"markers\",\n", " name = \"Cluster 1\",\n", " marker = dict(color = 'rgba(255, 128, 255, 0.8)'),\n", " text = None)\n", "\n", " #trace2 is for 'Cluster 1'\n", " trace2 = go.Scatter3d(\n", " x = cluster1[\"PC1_3d\"],\n", " y = cluster1[\"PC2_3d\"],\n", " z = cluster1[\"PC3_3d\"],\n", " mode = \"markers\",\n", " name = \"Cluster 2\",\n", " marker = dict(color = 'rgba(255, 128, 2, 0.8)'),\n", " text = None)\n", "\n", " #trace3 is for 'Cluster 3'\n", " trace3 = go.Scatter3d(\n", " x = cluster2[\"PC1_3d\"],\n", " y = cluster2[\"PC2_3d\"],\n", " z = cluster2[\"PC3_3d\"],\n", " mode = \"markers\",\n", " name = \"Cluster 3\",\n", " marker = dict(color = 'rgba(0, 255, 200, 0.8)'),\n", " text = None)\n", "\n", " #trace4 is for 'Cluster 4'\n", " trace4 = go.Scatter3d(\n", " x = cluster3[\"PC1_3d\"],\n", " y = cluster3[\"PC2_3d\"],\n", " z = cluster3[\"PC3_3d\"],\n", " mode = \"markers\",\n", " name = \"Cluster 4\",\n", " marker = dict(color = 'rgba(255, 255, 100, 0.8)'),\n", " text = None)\n", "\n", " # #trace5 is for 'Cluster 5'\n", " # trace5 = go.Scatter3d(\n", " # x = cluster4[\"PC1_3d\"],\n", " # y = cluster4[\"PC2_3d\"],\n", " # z = cluster4[\"PC3_3d\"],\n", " # mode = \"markers\",\n", " # name = \"Cluster 5\",\n", " # marker = dict(color = 'rgba(255, 255, 2, 0.8)'),\n", " # text = None)\n", "\n", " data = [trace1, trace2, trace3,trace4]#,trace5]\n", "\n", " title = \"Visualizing Clusters in Three Dimensions Using PCA\"\n", "\n", " layout = dict(title = title,\n", " xaxis= dict(title= 'PC1',ticklen= 5,zeroline= False),\n", " yaxis= dict(title= 'PC2',ticklen= 5,zeroline= False)\n", " )\n", "\n", " fig = dict(data = data, layout = layout)\n", "\n", " iplot(fig)\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.7.4" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, 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