{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"Random Forest (Random Forest Regressor).ipynb","provenance":[],"collapsed_sections":[],"authorship_tag":"ABX9TyPGoRoQaMvLsGP2syevCrEi"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"markdown","metadata":{"id":"_ghaZVmTa7H9"},"source":["# Import libraries"]},{"cell_type":"code","metadata":{"id":"QdwBlpzAJO3g","executionInfo":{"status":"ok","timestamp":1630333094568,"user_tz":-330,"elapsed":794,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["import numpy as np\n","import pandas as pd\n","import matplotlib.pyplot as plt\n","import seaborn as sns\n","import re"],"execution_count":1,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"QY7CNBlebM__"},"source":["# Importing the Dataset\n","\n","Link: https://raw.githubusercontent.com/mk-gurucharan/Regression/master/IceCreamData.csv"]},{"cell_type":"code","metadata":{"id":"UNF7lI4WJSmw","executionInfo":{"status":"ok","timestamp":1630333130051,"user_tz":-330,"elapsed":446,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["df = pd.read_csv('https://raw.githubusercontent.com/mk-gurucharan/Regression/master/IceCreamData.csv')"],"execution_count":2,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"LJuqZ19TbV1x"},"source":["# Data Analysis (EDA, DM, DE, DC, DV)"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":206},"id":"DrnrTLMDJSpR","executionInfo":{"status":"ok","timestamp":1630333169541,"user_tz":-330,"elapsed":612,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"5c91beb6-87c2-4825-aaf6-528312b96ab3"},"source":["df.head()"],"execution_count":3,"outputs":[{"output_type":"execute_result","data":{"text/html":["

	Temperature	Revenue
0	24.566884	534.799028
1	26.005191	625.190122
2	27.790554	660.632289
3	20.595335	487.706960
4	11.503498	316.240194

\n","

"],"text/plain":[" Temperature Revenue\n","0 24.566884 534.799028\n","1 26.005191 625.190122\n","2 27.790554 660.632289\n","3 20.595335 487.706960\n","4 11.503498 316.240194"]},"metadata":{},"execution_count":3}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"s5ZiRk7SJStv","executionInfo":{"status":"ok","timestamp":1630333187848,"user_tz":-330,"elapsed":417,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"d08fd8ae-f8f0-428d-ed94-c30d1519264c"},"source":["df.info()"],"execution_count":4,"outputs":[{"output_type":"stream","text":["\n","RangeIndex: 500 entries, 0 to 499\n","Data columns (total 2 columns):\n"," # Column Non-Null Count Dtype \n","--- ------ -------------- ----- \n"," 0 Temperature 500 non-null float64\n"," 1 Revenue 500 non-null float64\n","dtypes: float64(2)\n","memory usage: 7.9 KB\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"8HBXYbbsbldB"},"source":["# Assigning features and target"]},{"cell_type":"code","metadata":{"id":"iXlPaUT5JSv5","executionInfo":{"status":"ok","timestamp":1630333284813,"user_tz":-330,"elapsed":413,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["X = np.array(df.Temperature)\n","y = np.array(df.Revenue)"],"execution_count":6,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"k9LphK9eb8oN"},"source":["# Splitting the dataset"]},{"cell_type":"code","metadata":{"id":"h0jAyERvcHFx","executionInfo":{"status":"ok","timestamp":1630333357523,"user_tz":-330,"elapsed":1353,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["from sklearn.model_selection import train_test_split"],"execution_count":7,"outputs":[]},{"cell_type":"code","metadata":{"id":"1MecXFhRJSya","executionInfo":{"status":"ok","timestamp":1630333448345,"user_tz":-330,"elapsed":4,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["X_train, X_test, y_train, y_test = train_test_split(X,y,test_size=0.05)"],"execution_count":9,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"pmWgM5Uycj-f"},"source":["# Model Selection"]},{"cell_type":"code","metadata":{"id":"bXvehYXmJS1E","executionInfo":{"status":"ok","timestamp":1630333489407,"user_tz":-330,"elapsed":418,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["from sklearn.ensemble import RandomForestRegressor"],"execution_count":10,"outputs":[]},{"cell_type":"code","metadata":{"id":"Ck4foU2JJS23","executionInfo":{"status":"ok","timestamp":1630333591995,"user_tz":-330,"elapsed":652,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["regressor = RandomForestRegressor(n_estimators=10, random_state=0)"],"execution_count":11,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"INNByyHkdVA3"},"source":["# Training the model"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"uT8ZnhFtJS5u","executionInfo":{"status":"ok","timestamp":1630333702891,"user_tz":-330,"elapsed":1125,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"677bf025-bb5c-48e4-a188-9a0b3f69b24b"},"source":["regressor.fit(X_train.reshape(-1,1), y_train.reshape(-1,1))"],"execution_count":12,"outputs":[{"output_type":"stream","text":["/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:1: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples,), for example using ravel().\n"," \"\"\"Entry point for launching an IPython kernel.\n"],"name":"stderr"},{"output_type":"execute_result","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=10, n_jobs=None, oob_score=False,\n"," random_state=0, verbose=0, warm_start=False)"]},"metadata":{},"execution_count":12}]},{"cell_type":"markdown","metadata":{"id":"Axz29ujUfE7q"},"source":["# Testing the model"]},{"cell_type":"code","metadata":{"id":"2jzb6wuZJS8a","executionInfo":{"status":"ok","timestamp":1630334194693,"user_tz":-330,"elapsed":552,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["y_pred = regressor.predict(X_test.reshape(-1,1))"],"execution_count":13,"outputs":[]},{"cell_type":"code","metadata":{"id":"rqgEefRAJS_H","executionInfo":{"status":"ok","timestamp":1630334353994,"user_tz":-330,"elapsed":396,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["pred = pd.DataFrame({\"Actual\":y_test.reshape(-1), \n"," \"Prediction\":y_pred.reshape(-1)})"],"execution_count":15,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":206},"id":"jsCJgfzyJTB_","executionInfo":{"status":"ok","timestamp":1630334361234,"user_tz":-330,"elapsed":679,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"11c3ef3d-553d-4b9b-f41e-5d2a980a4451"},"source":["pred.head()"],"execution_count":16,"outputs":[{"output_type":"execute_result","data":{"text/html":["

	Actual	Prediction
0	706.364904	693.468145
1	555.245217	525.394195
2	819.117588	857.636477
3	531.742485	541.081547
4	493.115468	509.512716

\n","

"],"text/plain":[" Actual Prediction\n","0 706.364904 693.468145\n","1 555.245217 525.394195\n","2 819.117588 857.636477\n","3 531.742485 541.081547\n","4 493.115468 509.512716"]},"metadata":{},"execution_count":16}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":297},"id":"QTfJQt34JTEj","executionInfo":{"status":"ok","timestamp":1630334490209,"user_tz":-330,"elapsed":825,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"3fef6f2d-10b6-4265-d725-c890b35ae406"},"source":["plt.scatter(X_test,y_test, color='red')\n","plt.scatter(X_test,y_pred, color='green')\n","plt.xlabel(\"Temperature\")\n","plt.ylabel(\"Revenue\")"],"execution_count":17,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Text(0, 0.5, 'Revenue')"]},"metadata":{},"execution_count":17},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["

"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":287},"id":"h0-euWSYJTGc","executionInfo":{"status":"ok","timestamp":1630334591035,"user_tz":-330,"elapsed":637,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"c8a75369-5252-4d59-dfe0-e8ccb6c61b29"},"source":["sns.heatmap(pred.corr(), annot=True, cmap='Greens')"],"execution_count":18,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{},"execution_count":18},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["

"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","metadata":{"id":"GqzDbfe6JTIn","executionInfo":{"status":"ok","timestamp":1630334646239,"user_tz":-330,"elapsed":386,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["from sklearn.metrics import r2_score"],"execution_count":19,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"8n8DXDqdJTKW","executionInfo":{"status":"ok","timestamp":1630334671834,"user_tz":-330,"elapsed":396,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"d269cd7b-294d-4edc-8739-97333090986c"},"source":["r2_score(y_test, y_pred)"],"execution_count":21,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.9768499960065601"]},"metadata":{},"execution_count":21}]},{"cell_type":"code","metadata":{"id":"HMIdKPJMJTMX"},"source":[""],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"V_DyJOscJTPl"},"source":[""],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"cqe5K6m7JTTw"},"source":[""],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"J6214cpxJTY_"},"source":[""],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"VLu8b79eht6K"},"source":["# Random Forest Regressor Project\n","\n","Decision Tree - 45% -50%\n","\n","RFR - 92% - 93%\n","\n","Link: https://raw.githubusercontent.com/sahilrahman12/Price_prediction_of_used_Cars_-Predictive_Analysis-/master/cardekho_data.csv"]},{"cell_type":"markdown","metadata":{"id":"GfijgblviFof"},"source":["# Importing the dataset"]},{"cell_type":"code","metadata":{"id":"QWQzynQYJTb7","executionInfo":{"status":"ok","timestamp":1630334923090,"user_tz":-330,"elapsed":564,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["df = pd.read_csv('https://raw.githubusercontent.com/sahilrahman12/Price_prediction_of_used_Cars_-Predictive_Analysis-/master/cardekho_data.csv')"],"execution_count":22,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":226},"id":"u41cHPneJTeV","executionInfo":{"status":"ok","timestamp":1630334928493,"user_tz":-330,"elapsed":412,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"2dff3a62-fa20-474f-d5a2-25793f472567"},"source":["df.head()"],"execution_count":23,"outputs":[{"output_type":"execute_result","data":{"text/html":["

	Car_Name	Year	Selling_Price	Present_Price	Kms_Driven	Fuel_Type	Seller_Type	Transmission
0	ritz	2014	3.35	5.59	27000	Petrol	Dealer	Manual
1	sx4	2013	4.75	9.54	43000	Diesel	Dealer	Manual
2	ciaz	2017	7.25	9.85	6900	Petrol	Dealer	Manual
3	wagon r	2011	2.85	4.15	5200	Petrol	Dealer	Manual
4	swift	2014	4.60	6.87	42450	Diesel	Dealer	Manual

\n","

"],"text/plain":[" Car_Name Year Selling_Price ... Seller_Type Transmission Owner\n","0 ritz 2014 3.35 ... Dealer Manual 0\n","1 sx4 2013 4.75 ... Dealer Manual 0\n","2 ciaz 2017 7.25 ... Dealer Manual 0\n","3 wagon r 2011 2.85 ... Dealer Manual 0\n","4 swift 2014 4.60 ... Dealer Manual 0\n","\n","[5 rows x 9 columns]"]},"metadata":{},"execution_count":23}]},{"cell_type":"markdown","metadata":{"id":"EpgNGma8iRGH"},"source":["# Data Analysis(EDA, DE, DM, DC, DV)"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"3bdXKuAfJThd","executionInfo":{"status":"ok","timestamp":1630334974379,"user_tz":-330,"elapsed":798,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"b7cda21b-f46c-4ec5-c91a-e6a2264d0269"},"source":["df.shape"],"execution_count":24,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(301, 9)"]},"metadata":{},"execution_count":24}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"KCP5tZU5JTkx","executionInfo":{"status":"ok","timestamp":1630335079110,"user_tz":-330,"elapsed":544,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"7b3c7ba7-35a1-495f-8763-3dd0a84911ae"},"source":["print(\"Fuel Type\",df.Fuel_Type.unique())\n","print(\"Seller Type\",df.Seller_Type.unique())\n","print(\"Transmission\",df.Transmission.unique())\n","print(\"Owner Type\",df.Owner.unique())"],"execution_count":25,"outputs":[{"output_type":"stream","text":["Fuel Type ['Petrol' 'Diesel' 'CNG']\n","Seller Type ['Dealer' 'Individual']\n","Transmission ['Manual' 'Automatic']\n","Owner Type [0 1 3]\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"3jruAiA-JTmf","executionInfo":{"status":"ok","timestamp":1630335119763,"user_tz":-330,"elapsed":407,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"eada6fd2-c8cd-4d29-c32a-65c98ea17ec5"},"source":["df.isnull().sum()"],"execution_count":26,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Car_Name 0\n","Year 0\n","Selling_Price 0\n","Present_Price 0\n","Kms_Driven 0\n","Fuel_Type 0\n","Seller_Type 0\n","Transmission 0\n","Owner 0\n","dtype: int64"]},"metadata":{},"execution_count":26}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":300},"id":"JRc6fCczJTro","executionInfo":{"status":"ok","timestamp":1630335137350,"user_tz":-330,"elapsed":617,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"a9728b81-803a-4b1c-d68c-9f311d154f65"},"source":["df.describe()"],"execution_count":27,"outputs":[{"output_type":"execute_result","data":{"text/html":["

	Year	Selling_Price	Present_Price	Kms_Driven	Owner
count	301.000000	301.000000	301.000000	301.000000	301.000000
mean	2013.627907	4.661296	7.628472	36947.205980	0.043189
std	2.891554	5.082812	8.644115	38886.883882	0.247915
min	2003.000000	0.100000	0.320000	500.000000	0.000000
25%	2012.000000	0.900000	1.200000	15000.000000	0.000000
50%	2014.000000	3.600000	6.400000	32000.000000	0.000000
75%	2016.000000	6.000000	9.900000	48767.000000	0.000000
max	2018.000000	35.000000	92.600000	500000.000000	3.000000

\n","

"],"text/plain":[" Year Selling_Price Present_Price Kms_Driven Owner\n","count 301.000000 301.000000 301.000000 301.000000 301.000000\n","mean 2013.627907 4.661296 7.628472 36947.205980 0.043189\n","std 2.891554 5.082812 8.644115 38886.883882 0.247915\n","min 2003.000000 0.100000 0.320000 500.000000 0.000000\n","25% 2012.000000 0.900000 1.200000 15000.000000 0.000000\n","50% 2014.000000 3.600000 6.400000 32000.000000 0.000000\n","75% 2016.000000 6.000000 9.900000 48767.000000 0.000000\n","max 2018.000000 35.000000 92.600000 500000.000000 3.000000"]},"metadata":{},"execution_count":27}]},{"cell_type":"code","metadata":{"id":"ct0kiaUeJTuS","executionInfo":{"status":"ok","timestamp":1630335236048,"user_tz":-330,"elapsed":415,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["df['current_year'] = 2021"],"execution_count":28,"outputs":[]},{"cell_type":"code","metadata":{"id":"3D3qtllKJT0K","executionInfo":{"status":"ok","timestamp":1630335260152,"user_tz":-330,"elapsed":408,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["df['no. of year'] = df['current_year'] - df['Year']"],"execution_count":29,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":261},"id":"GAwlxflPJT3L","executionInfo":{"status":"ok","timestamp":1630335265524,"user_tz":-330,"elapsed":590,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"c36b68a5-6000-4097-af0f-9933554f4379"},"source":["df.head()"],"execution_count":30,"outputs":[{"output_type":"execute_result","data":{"text/html":["

	Car_Name	Year	Selling_Price	Present_Price	Kms_Driven	Fuel_Type	Seller_Type	Transmission	current_year	no. of year
0	ritz	2014	3.35	5.59	27000	Petrol	Dealer	Manual	2021	7
1	sx4	2013	4.75	9.54	43000	Diesel	Dealer	Manual	2021	8
2	ciaz	2017	7.25	9.85	6900	Petrol	Dealer	Manual	2021	4
3	wagon r	2011	2.85	4.15	5200	Petrol	Dealer	Manual	2021	10
4	swift	2014	4.60	6.87	42450	Diesel	Dealer	Manual	2021	7

\n","

"],"text/plain":[" Car_Name Year Selling_Price ... Owner current_year no. of year\n","0 ritz 2014 3.35 ... 0 2021 7\n","1 sx4 2013 4.75 ... 0 2021 8\n","2 ciaz 2017 7.25 ... 0 2021 4\n","3 wagon r 2011 2.85 ... 0 2021 10\n","4 swift 2014 4.60 ... 0 2021 7\n","\n","[5 rows x 11 columns]"]},"metadata":{},"execution_count":30}]},{"cell_type":"code","metadata":{"id":"pQ1pb5-nJT7F","executionInfo":{"status":"ok","timestamp":1630335643634,"user_tz":-330,"elapsed":6,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["df.drop(['Car_Name', 'Year', 'current_year'],axis=1, inplace=True)"],"execution_count":32,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":223},"id":"sE5ZtssJJUAL","executionInfo":{"status":"ok","timestamp":1630335649667,"user_tz":-330,"elapsed":404,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"a4e1b410-e248-40fb-f5fc-1e70c8391e68"},"source":["df.head()"],"execution_count":33,"outputs":[{"output_type":"execute_result","data":{"text/html":["

	Selling_Price	Present_Price	Kms_Driven	Fuel_Type	Seller_Type	Transmission	no. of year
0	3.35	5.59	27000	Petrol	Dealer	Manual	7
1	4.75	9.54	43000	Diesel	Dealer	Manual	8
2	7.25	9.85	6900	Petrol	Dealer	Manual	4
3	2.85	4.15	5200	Petrol	Dealer	Manual	10
4	4.60	6.87	42450	Diesel	Dealer	Manual	7

\n","

"],"text/plain":[" Selling_Price Present_Price Kms_Driven ... Transmission Owner no. of year\n","0 3.35 5.59 27000 ... Manual 0 7\n","1 4.75 9.54 43000 ... Manual 0 8\n","2 7.25 9.85 6900 ... Manual 0 4\n","3 2.85 4.15 5200 ... Manual 0 10\n","4 4.60 6.87 42450 ... Manual 0 7\n","\n","[5 rows x 8 columns]"]},"metadata":{},"execution_count":33}]},{"cell_type":"code","metadata":{"id":"m9bWPlC4JUD_","executionInfo":{"status":"ok","timestamp":1630335865801,"user_tz":-330,"elapsed":391,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["df = pd.get_dummies(df)"],"execution_count":36,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":261},"id":"5-62tccnJUF8","executionInfo":{"status":"ok","timestamp":1630335870141,"user_tz":-330,"elapsed":6,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"fae2e975-39fd-4b50-a406-da59c378d8dc"},"source":["df.head()"],"execution_count":37,"outputs":[{"output_type":"execute_result","data":{"text/html":["

	Selling_Price	Present_Price	Kms_Driven	no. of year	Fuel_Type_Diesel	Fuel_Type_Petrol	Seller_Type_Dealer	Transmission_Manual
0	3.35	5.59	27000	7	0	1	1	1
1	4.75	9.54	43000	8	1	0	1	1
2	7.25	9.85	6900	4	0	1	1	1
3	2.85	4.15	5200	10	0	1	1	1
4	4.60	6.87	42450	7	1	0	1	1

\n","

"],"text/plain":[" Selling_Price Present_Price ... Transmission_Automatic Transmission_Manual\n","0 3.35 5.59 ... 0 1\n","1 4.75 9.54 ... 0 1\n","2 7.25 9.85 ... 0 1\n","3 2.85 4.15 ... 0 1\n","4 4.60 6.87 ... 0 1\n","\n","[5 rows x 12 columns]"]},"metadata":{},"execution_count":37}]},{"cell_type":"code","metadata":{"id":"fd3Iu_TAJUJq","executionInfo":{"status":"ok","timestamp":1630336309307,"user_tz":-330,"elapsed":398,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["df.drop(['Fuel_Type_CNG', 'Seller_Type_Dealer', 'Transmission_Automatic'],axis=1, inplace=True)"],"execution_count":39,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":261},"id":"QBubo7SwJUMV","executionInfo":{"status":"ok","timestamp":1630336318045,"user_tz":-330,"elapsed":7,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"a6c7f081-7df1-42ac-8487-dd42d4254e26"},"source":["df.head()"],"execution_count":40,"outputs":[{"output_type":"execute_result","data":{"text/html":["

	Selling_Price	Present_Price	Kms_Driven	no. of year	Fuel_Type_Diesel	Fuel_Type_Petrol	Transmission_Manual
0	3.35	5.59	27000	7	0	1	1
1	4.75	9.54	43000	8	1	0	1
2	7.25	9.85	6900	4	0	1	1
3	2.85	4.15	5200	10	0	1	1
4	4.60	6.87	42450	7	1	0	1

\n","

"],"text/plain":[" Selling_Price Present_Price ... Seller_Type_Individual Transmission_Manual\n","0 3.35 5.59 ... 0 1\n","1 4.75 9.54 ... 0 1\n","2 7.25 9.85 ... 0 1\n","3 2.85 4.15 ... 0 1\n","4 4.60 6.87 ... 0 1\n","\n","[5 rows x 9 columns]"]},"metadata":{},"execution_count":40}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"yxLPAmvbJUP1","executionInfo":{"status":"ok","timestamp":1630336377614,"user_tz":-330,"elapsed":400,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"2873b3ec-7d11-445e-e96c-c9db25e3ac22"},"source":["df.shape"],"execution_count":42,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(301, 9)"]},"metadata":{},"execution_count":42}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":369},"id":"8ESvwUddJUSS","executionInfo":{"status":"ok","timestamp":1630336395624,"user_tz":-330,"elapsed":395,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"0de59e84-f434-4b2a-a9f3-eaa67d37dcdb"},"source":["df.corr()"],"execution_count":43,"outputs":[{"output_type":"execute_result","data":{"text/html":["

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	Selling_Price	Present_Price	Kms_Driven	Owner	no. of year	Fuel_Type_Diesel	Fuel_Type_Petrol	Seller_Type_Individual	Transmission_Manual
Selling_Price	1.000000	0.878983	0.029187	-0.088344	-0.236141	0.552339	-0.540571	-0.550724	-0.367128
Present_Price	0.878983	1.000000	0.203647	0.008057	0.047584	0.473306	-0.465244	-0.512030	-0.348715
Kms_Driven	0.029187	0.203647	1.000000	0.089216	0.524342	0.172515	-0.172874	-0.101419	-0.162510
Owner	-0.088344	0.008057	0.089216	1.000000	0.182104	-0.053469	0.055687	0.124269	-0.050316
no. of year	-0.236141	0.047584	0.524342	0.182104	1.000000	-0.064315	0.059959	0.039896	-0.000394
Fuel_Type_Diesel	0.552339	0.473306	0.172515	-0.053469	-0.064315	1.000000	-0.979648	-0.350467	-0.098643
Fuel_Type_Petrol	-0.540571	-0.465244	-0.172874	0.055687	0.059959	-0.979648	1.000000	0.358321	0.091013
Seller_Type_Individual	-0.550724	-0.512030	-0.101419	0.124269	0.039896	-0.350467	0.358321	1.000000	0.063240
Transmission_Manual	-0.367128	-0.348715	-0.162510	-0.050316	-0.000394	-0.098643	0.091013	0.063240	1.000000

\n","

"],"text/plain":[" Selling_Price ... Transmission_Manual\n","Selling_Price 1.000000 ... -0.367128\n","Present_Price 0.878983 ... -0.348715\n","Kms_Driven 0.029187 ... -0.162510\n","Owner -0.088344 ... -0.050316\n","no. of year -0.236141 ... -0.000394\n","Fuel_Type_Diesel 0.552339 ... -0.098643\n","Fuel_Type_Petrol -0.540571 ... 0.091013\n","Seller_Type_Individual -0.550724 ... 0.063240\n","Transmission_Manual -0.367128 ... 1.000000\n","\n","[9 rows x 9 columns]"]},"metadata":{},"execution_count":43}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":873},"id":"sDyIvqZmJUYK","executionInfo":{"status":"ok","timestamp":1630336447019,"user_tz":-330,"elapsed":34205,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"911ed48f-1791-42e1-aac4-203b10bf6eb7"},"source":["sns.pairplot(df)"],"execution_count":44,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{},"execution_count":44},{"output_type":"display_data","data":{"image/png":"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4hTzFau4pQYhVM4ZVoqV5tqWL+kSXMZp3qtUIf/j5/LubzEK1+xJyn5+Yo9WlTpS/zeUOWbdhsA7raoMvVxPtvjPp5neoNDKinyaCAcnVFuZWoWSFJTdVnKOGys5vyD9JyYPzLtS82HPlc21xTJ1mc5MWayKRazevx3PXrhaEAxKxUZqWNJtTae31AQ3w9zI9fnYM75mI1c5zfiFLORy37G4prUMdpEjCLHHDFyw+3SDes/fCqox/Z064/u+Ln++CtP6o/u+Lke29OtXS/1THqtEJ9oiifV+Hfd9p2nddvWDvmKR8IunmTjBR9JWl7n186r1k25DQD3isWsXu09q+0b2xLH+cPPHZ02N0z1eY/t6daH/uXX+s2rp/Weu38149zK1CyQpHMX+rVjS3Ic7tjSoXMXVuS5ZXAyJ+aP5trySTn1tq0daq4tT9qu0PtcE/uhr6XPnc3PcmLMZNPBk2e1//hZ3f2zA7pz1359+WcHtP/4WR08eTbfTYODtTdVpcxb7U3VBbE/FIZc5zf6ppiNXPYzKkuLdPNl7UkxevNl7ar08Rw9couIy4J0w/p7+oZSJpVr39I66bXzt12q1vrCOklNTKqHegf1pV37dP+1F2swEtWiyslPvXk8RpvaG3X+tkt1vD+UchsA7nWwN6jrvv2MastLdM0lrTJG8hjp9ctr9egsjvt4nrnmklbdsWvfrHLrVFOzFFpeRnp7evp110/2JeLSWumun+xTa71f65cvyHfz4FBOzB+HTw/oS7uSY/lLu/bpwubapDYVep8r3cX9bPrc2fwsJ8ZMNh0LhHT748nn49sf36c1S6rVuqgyz62DU3m9Hm3tXKK2RRXqDoTUWO1Te1P1nC1Im+v9oTDkOr/RN8Vs5LKfcfRMSP/80/1JMfrPP92vZbVrtKKecz5yh+JGFqQb1h8MD6dMKhMf8sr3BU02h+yPlyqpHuod1GAkqotbF6Z9n8dj1FpfURAXeACS9fSFVFteondeuFRmNM1896kjetM5dbq4deGsbxJNtW7HdJ85H6ZmwfS6+0I61Duou57Yn/R6Tx9zxiI9J+aPnjSxPFU+tIU3gDirF/fZ/Cwnxkw29YdSX//0Dw3nqUVwC6/Xo85ltepcVpj7g/vlOr/RN8Vs5LKf0R8aThmjnPORiWzei3Z9ccMYs0zSfZIaJFlJd1trbzfGLJB0v6Tlkg5Kuspae3ou2hAf1j9xTruWBf6USWXi/6uZJprXOr/8xM+aq/n4Cv3iDcDMNVX79P43tiSeevIVe7R9Y5saq1LnhfEnvEWVPhV5RhYui+e8eJ6RZr9uR7ocXihTsyAzTdU+tdSVafPaJYnC28PPHU0bm4DkzPyRaf+r0Nd+aKhKfUzPph+azT6tE2MmmxqqS1P+WzVUluaxVXCD4eGY9nQF1BUIqam6TO1NVXM6kiLX+4P75Tq/0TfFbOSyn9FQlfqYWMQ5H9OIxax2vdSj54+MrWG0Zmm1Npw3uzWMXF/ckDQs6RPW2qeNMZWSfmuM+ZGkD0p63Fr798aYT0r6pKQb5qIB6Yb1S0qZVEq8JpEAZppo4hein31sr96zvjkxDctsL0izMcw+XbWt0C/eAMxcNKaUw7nftqph0rapbrxt39im+355SKcHwtp51Tq9fVWDdl61Tp99bK+2bWiblBMzyTeFPjULMrPQX6yP/cFK3fzQnkQM3bKlXQsrivPdNDiYE/NHpv2vbE615ERLq8v0F3/Yppt+sDvx77Dj8g4trS6b8Wdls0/rxJjJpgXlJbplS/ukXLrAX5LvpsHBhodjevC5o7rxwbHj9batHdrauWROCg653h8KQ67zG31TzEYu+xkdTdW69fIOfXpcX+vWyzu0hvWLMI1DvUHt6xlZw2j8vZ5zFlZoxSyuQ1xf3LDWdknqGv1zvzFmr6Qlki6X9Aejm90r6Seao+KGlH4qpXRFj9nMLS9lZ3758V7rMPvpnvor5Is3ADN3vD91zvldT79a6yuS8kOqG2+3Pz4y7+xdT+zX9Q88q0e3XTqSZxordSo4pPuvvXhWo9mYDg9HzoQSF4/SSLzd/NAe3fOB9WpZyJyxSM+J+aPEa3TtW1oVsyPrGpV4J+fCQl/7YW9PX6KwIY18t5t+sFvnNVSoc1ntjD4r231aJ8ZMtnQFQvrWrw7pc1d2ajA8rLISr776s1fUUleu5SyCizT2HAskCg3SyPF644O71VZfoc7mmR2vTtwfCkOu8xt9U8xWrvoZXq9HS2pLdffVr9PpgYhqy4vlLRJFYkzrWGAw5UOva5dWz8/ixnjGmOWSLpD0pKSG0cKHJHVrZNqqnJo4oqG5tjzp9/XNC3T49ICefLU3cSMuFrPa0xVQT19Idf5SxWRV5y9NXEBlY3758WYzzH789yov8eqzj+1NW2Qp5Is3ADOXbpqQl3v6tbqpSq31FYkcs/94f8o8d35jpa5/27kq8Rr1nh1K5NQLmxdQPMWspZ1HOcScsXCXg71B3frIi4k8G7PSrY+8qNaFyf2xfEwfGg5H9fyxgLr7Qmqq8mnN4mqVlBQlbZOt+Xe7AqmLN92B0KQ59jPZJ33azDRU+XTR8motqizViX6rRZWlo78zjQrSOxoYTHm8Hg0MqlPZLzbken8oDLnOb/RN4XQHe4P68L/8dlJf8tECGQWMuZMuv50NRWf1eQVT3DDGVEj6nqT/z1rbZ8zYBYm11hpjUi6VaIy5VtK1ktTc3Jy19qQa0XDb1g59adc+HeodVEtdmT6+oS1pKOyd77tAZwYiSa9t29Cm+586rBs2rdKm9saszC8/3kyH2af6Xts2tOkbvzqkrsDIwlaF9NSfE8xVjALZlGmcNteWT5om5ObN7frXXx/Sm86p0/I6f2LqvU9uWpUyz+073q/vPnVE739ji67+2q8Lcq54zI2p4rQpzTzKTVXMGYvcycY5vzc4NGnq0m0b2nQqOJTUN8v19KHhcFQPPn9s0jRRW9cuThQ4srkOSFN1WcpjeuJc5YW+9shcmCpOF1V4dW5jrT749bHz844tHVpUUTCXnZgDCytSn4MX+md/Dp4qTudifyh8c5Hf6JvC6aaK0UIfBYy5s7Q2dT99ce3s8ltBjBUyxhRrpLDxLWvt90df7jHGNI3+fZOk46nea62921q73lq7vr6+PmttSjWdyo0P7tbmtUskSZvXLpk0FPb5I5OHx96xa582r12i6x94Vgd7g4kL0YefO6ptG9qSCh2zuSCND7N/dNul+s61b0hM8ZLuYi7V97pj1z6988KliW1YNDy75ipGgWzKNE4Pnx6YNE3ILY/s0R+cv0iLKn2JHLN57RL9/eg6GuPz3Kc3r9Z3nzqid164dNIwxnieBNKZKk6jMWn7xuR4276xTdGUj0YAcyMb5/ySIs+kqUvv2LVPxUXJ3f6Z9gFfq+ePBVJOE/X8sUBim3TrgMwmt9eUe3XzZe1Jx/TNl7Wrxp88V3k29zlfTBWnL3YHddNDE/4/P7RbL3bz74n0GqpKUx6vDdWzv4k7VZzOxf5Q+OYiv9E3hdNNnUvHHr6O434gMhEejqXMb5Hh2SU41z9CY0aGaNwjaa+1due4v3pI0gck/f3of3+Qy3alq2DGB5SkmlYqZlNPNRXfNl79zMb88uPNZJh9uu8Vv15m0XAAU0mXQ85tqNTyOr+efLU3kfcO9Q7qG786pGsuaZUxkrVSfyiirkAoa1PzAXFHz4R03y+T4+2+Xx7S0tpyXdiS79YBmRsIR1Pmx4Hw5GHeuZxqqTtN/u/pCyV+z+YTgMfOhPSvT06eG33FwnK11I19Fk8dZldP31Ca/89DeWoR3GBZrV+La4L6/JWdCoaH5S/xqrKsSMtq5+aaMtf7Q2HIdX6jbwqny/UoYBSObOc31xc3JL1Z0tWSXjDGPDv62l9rpKjxgDHmGkmHJF2Vy0alm8fYjitCTfz7IpN6qilrk6uf012IZmuu4pl8r43nL9Kbzqlj0XCHikQi2r17d9JrHR0dKi4uTvMOYG6kyyGrGqvk8ZhJU+91BUK664n9id8/f2WnrtuwUuc1VOZ8rngUtoaqUp0eCCfiTRqJqQaG/sNl0uXZhqq5zY/T9T+bMmhXNtcBaajy6eXjZ7XtX5+Z8rPysfZIIWuoSj2NCrkUU/F4jN7cWq89XQF1BUJqqi5Te1PVnF1T5np/KAy5zm/0TeF08VHA52+7VMf7Q9wPRMaynd9cPy2VtfYX1lpjrV1rrV03+vOotbbXWrvRWttmrX2rtfZULtsVr2COv0l329YOPfL8UUkjC+jetrUj6e/XLK2e9Nq2DW165PmjGVc/4/MG/9EdP9cff+VJ/dEdP9dje7oVi2Vn7GKq77XzqnVas6RGF7cuTCwiDmfZvXu3PnbXQ/rk957TJ7/3nD5210OTih1ALqTLISsW+pP+PtXUezdf1q5/+OHvdOeu/fr8D383aToBnhLBa7G60a8dW5LPwTu2dGh1IzEFd0mXZ+cyP2bS/1yzuFo7Lp9wjF3eobWLq+ek7Zl+Vj7+vQpZe2NFylza3sgoGKQXi1n9cG+P3nP3r/TRbz6t99z9S/1wb0/WrmHzvT8UhlznN/qmcIP4w9fcD8RMZDu/FcLIDcda3VSpez90kQbCw2pe4FfLgnJd2Fyr4/0hNVb5ZK2S/n7FQr9iMau2RRXq6RvSAn+JrKw2dTRmXP2MzxtcW16iP3lDs+orShWzVi92BbS6qXrKz8hkxAeVWfeqamxRbfN5+W4G5rl4Dlm9/VL19A0pGB5WS225Dp8KqiswknvevqpBq5sqdaJ/SF967wXy+4rk8xbpLx949v9n787j267ufP+/j+RF3uM4ju0sTmLiEGKHEAgh5RJuG1qacgMJa2nnB5SlufMoTLhDZximU2BYW2hLC5ROy5S20N/0AlOmZRlKoaSUtkAhlC0hgZiQhATbsR3Hi2xt1rl/SJYlW7ZlR5Yl5/V8PPSI9dX5fr9Hyvl+vsvZtKetV1JoyKof/qFBD122Uq3dXs0uyVPdrJFjHDCSA90Bvd/Urp9dulIt4fPbc9v2a8X8UhXmTXbugMSN5VotkWu/QCA4pHVzVlZs+6jh5q1YvGl1pKdxTo5TZ9VXaUFZvpo6vaosztXSqpLIZOJjzXuyfgeHw+j0Yyr0yMZV4e/oUt0o18wYXkFertbWl2v+jJVq7vSqojhXiysLVJBHS2MMb3ebW3c8sz0yPIUk3fHMdi2uLJqQ4eFSvT9MDamOb1ybIhMkcp0IDHagO6Atu1v0ky+dqNZur8oLc/Wrv+4dd3yjcmMC9LdeGzzu3IIZBaopL9T8soJhP8/KcmjZ3NIh20t0mKnmTo9K83P0pZPn67u/ez+y/atPq1VTp0drjq4Y9uY2Xp7iTSyZyvGZAUxN7zZ2xcSbq0+r1UMv71F7j0/f/+Jy+QI25vPbz14qX8CqqsSlc46fE7kRfXNvu27/zXsjxiwgEYfcPtXNnq6XPmhV0EoNB7pVN3u6DvX4JjtrwJglcq2WyLVfIBDUr9/ar6//emskza0b6rVh2eyYG9f+68/o+PzY6/ti5q0IBq0272wZ9VozmdeZif4Oz25vTugaGKPz+fr0zLaWyOTx/T10Nhw7K6YiC4jW5vbqspMXqK3Hp6ANDdd82ckL1Ob2Tsg9Z6r3h6kh1fGNa1Oku0SvE4HBWru9qptVqld2tSlopQ8OdKtuVum4z8NUbkyA3W1u/eRPH4QmMPQGVJyXpbZuj154/4DmlxXIWkV6V5xz/BwVuZwKBq3+8P4BzSsriKm86L/xvOOZ7Vp37Gw5HdLyudNUWZIrjz8ohzHyBkL/HnR7NaMwV3eeu1Qfd3j0rfOWaf+hHj340h7d/fxObTy1RqV5OcpymiGTkCfS4g4AkmHvQbd2NHXqitU1yst2qDQ/W8WuHN153rEqzHXK4++TPxDQ/RedoEAwKH+ftKe1Wzetr9OHLe6Yitvbzl6qm9cv0YEun+54ZrtmT3MNiW+pMJFzHSFFjJSf69CimUVyewMqcGUpm+dwmMJ2t7m1s7FdD166Uge6QrHr5Z3NMS2XtzV2aH9b15A02xo7YhrjVJW4dOn/mK+7nhuIz9d8ZpEqo+bTSPRaM9F4mqy4m87XwJnYGvLtjztUkB3UQ5euVHO4zLR0duvtjzu0Yv70yc4e0lS2w6GAtbr/xV2RGPKPnz1a2Y6JKe+p3h+mhpTHN65Nkea2NXbo3s07Y3rB3bt5p2pnFg5ptA1Ey3YYVU7LVVlhbkx8yzLje4ZC5cYE6Oj16dzjq3XtL9+KXCzdeGadvvfc+3r/QLe+fd4ylebn6KJV8/TIlr36/Ipq/UNU2ujWYv1dZqNblrz50SHN7y2QrPS959/X51dU657NO+O2gL76tFr97ak1+uGLu5Sf49SO5i7d8tS7Q/bV3OmJmRhLCt3cRbe4A4DDFQxa/XXvoZibyatPq9W9mz9QTpbRVz65UDc+sS3ms4Icp3KznGo61Cu3L6ArVtdICrUK/pdfvaO7LjhOD/zpQ31+RbX+sqst5T05xtLzDenLle1Qjy+oD1vdkVac82cURMYBBaaaQDCgqtJCXfLTVwdaoJ5Vp75gIJLGYYJaMLNYf45qNXrUzGI5TOw1Y6DPRio2pNA15F3Pva81R8+MpEnkWjPReJrMuJuu18CZ2hqyNN+hXS1GXx1Urkrz0zfPmHyeQJ8eenl3zAOyh17erbpZxVNif5gaUh3fuDZFumtze4c8j9y0plYH3d7JzhrSXLLjG1FxnIJBq10t3Xr5g1btaumOmXysLyjd9NS2mBu8m57cpq9+9ujQQzkjnb9iju7ZvFPrjp0dCQT9aa959E3tbnNLCt1wXXhitXr8fbr/xV36/uYG/ejFXWrq8KilyxN3/buf36mLPzFPl59So15/n8qKcnXpyfM0Z1p+pGJj8L4qil1DCpEr26GZRS4BQLLsbnPr7uff1+Wn1OiqNQt1xeoaPfzaXp1z/BytO3Z2pGJDGohnrW6fvIE+ubKdkTj44z/u0kWr5qk0P0c7mjojsbByWn5k3ehYOpKR4nmi3yleq99E9o304fb1qavXH7Osq9cvt69vknIEjF8ice1QT59uGBRzb3him9p7Bsq8v89o/yFPzDXo/kMe+ftiKxD2tvfErSD4qL0n8j6Ra81E42n0ePn955I7ntk+rribrtfA2xo7IhUbUui3+Pqvt2pbY0dMusM9hyVbmzt+uWpzE0sxvF5/QJedvEDO8KHYP0yUxz8x5SbV+8PUkOr4xrUp0l2xK2fI88h7Nu9UkStnknOGdNc9THzrHmd8o+fGOIzWWqy12xv3Bq+5w6Pvb27QvLI8XfOZo+XxB2WM4qft9EiSHMZobml+pGdH/+cPv7ZXt5+9VPsPeXTF6ho99vo+NXaE1inNz1FxXrbufn6g9vSW9fXD7utAl0cr55fprguOG/Kd5peNb6Z6AIhnuNYdDofU7e2LO2Z70EpV0/L1j4Pi4D2bQ8Pt9QUViW+7WwcebCXS8jYZrX/TtdUvxibQF5QnEIzpVXTNZxYp0BccfWUgjSQa15o7vXFjbnPnQGu7Lm8gcj0pDVQ6/+iiE2L2WZCTJVe2IyYWurIdys8ZuNWYX1Yw6rVmovF0pJaCY427ieRrMjR2xP8tmjo8WjY39D4dew42dw5zH9RJK04MrzA3W94+95BzcEHuxDyuSPX+MDWkOr5xbYp05/MH4x4TvgBlFCNLdnzj7D0Oo43NO6c0T5tOW6j+hlOPvb5P7T0+ucI3eHvaetV4qDfSSizezaC/z+qMe/6o0vwcXb/umJjPq0pc+vyKal3+4JaYG7qfv7JHjR0enb9izpAeGtc/vlV3XbAs7r5mFrnkcBitravU4k2rdaDLo5lFjBkPIPlyHI64rTvuOn+Z9rb36OJPzIupmL36tFo5jdTjC8S9cKouzde9vw/1gptXlqf5Mwp01ZqFkqQn39o/asvbZIy13t/qN15sReawVnGH1fnJJSsmOWfA2CQa1+aWuuLG3DnTBmKXx98XN/Z6By2bWZSrq0+rHbKtmUW5kTSJXGsmGk9znPHPJY9sXDXm38vhMDr9mAo9snFVzNwWk30NXFWSF/e3qCwZ+zwmqVRZnKt5ZXlad+zsSKXZk2/tV0Vx7sgr4ojmDwRTeg5O9f4wNaQ6vnFtinRX4IrfuKUgh8lhMLJkxzeGpRqHkVqVBYNWe9p6Y4ZOufgT8/SNs5fqxy9+EEn/4Mt7dPvZS/XkW/u1aU1tTEXH7Wcv1fWPvyOPP6jGDo+6PYGY7vLnHD8n7g3dOcfPkSvboerp+XHzt6vFPWRf0S3THA6jmvJCraqZoZrywkm/qQMw9Rzs8cWNTz3+PlmruC2EF8wo1PT8nLjDhrR0e8NzbbToyk/V6tpfvhWJvX+3plbVpfkj5mekeJ6o/la/w8VWZAa3N/5DXLeXrv/ILInHNRM35pqoifwWlA0d+9aV7dD8srzYLRmpIMepjaeGhonaeGqNCnKcGjwn4GjXmonG0x5f/OO1Zxxd2YNBq2e3N+vz97+iv/3//6rP3/+ynt3ePOnDO9VVFevWDfUxv8WtG+pVV1USSZOMc1iyleQ59ZVPLtQDfxq4F/rKJxdqWh4POjC8bm/8RizdE3QOTvX+MDWkOr5xbYp01+nxDXnGuGlNrbq8/lHWxJEu2fGNnhvjMFyrsvJCl7buP6Sv/uebQ24Uv3fBcTo1PKni55ZWaW5pvnKzHbr3wuPV6/froUtX6lCvX9ZKMtLXzliiYNCqs9evHl9AX/vcYt3+mx3y+INyOuIPL7WkqkiPblwlKxM3f6trZ8jfF9QjG1epx9enimJ6ZwBInWDQKjfLMUyr3FwV5GTFjW1WVg5jdPvZS/W1X70TaRV8+9lLVeTKUkletk6pLdMFP3olJvZ+/ddbtXxuqY6aOXzr1WT0uqDn29RQOEzLo0IXl0pIL8Gg1e42t5o7PXGv5RKNa03DPBhv6hx4MF49LV/fPGeprvuvgdj7zXOWqnpabGVDY4dHv3x9n6449Sj1+gLKz8nSv7/4gRZVFmn+jIEYHAgEta2xI6aHRPTk2InG04pi1zCtZ2O/42i/lZSevR8kKSvLobOWztL8sgI1dXpUWezSsbNKYn6vdOw52NzlHzJ/1o1PbNO/X7xCiyonLVtIc4W5w7T+zZ2Yh8ap3h+mhlTHN65NMV6JXP8kQ47TqUe27NXlp9TImFBr/Ee27NUJ85YlfV+YWpId34iK4zDc2Lz7DrnV1u2Pe6P4/oFu/fiPu3TL+nr1+gKROTT6H9BNy89Stzegr/3qHZXm5wwZJuDb5y/TT790ol7e1abamUVxC8ExVcWqKS9UMGjj5m/p7Gk8bIMkKdgX0I4dO2KW1dfXKzs7e5JyhKmuf1zwfQfdcYcu8fcFtaOpM25sC1qp8VCvfvLSh7r8lBqV5GVpYXmhbnpqm/a0hYb4u+PcY+PG3u1NnVowY/iLuWSNtd7fGpk5NjKXL9CnTWtqh4zh7wvQOg7pI5E5FqpL8+NWBg/uyVZWkBM35pYVDEwC2dDaLUnaeGqNglbqD6UNrd2qnzMtkq6y2KV1y2bp2qjr22s+s0gVUQ/ZA4GgfvXmfl3/+NZImlvW1+vs42bHPLD3egNq7faqpcsnhzGqKsxVXl7s9Ul1ab7+bk1tZMLt/l4N0d8x8blH4lfyNHdO7rxJwaDV7947MGL+03G+EF8gfks8YilGUpCbFff6sHCC5sBI9f4wNaQ6vnFtivFI5XxcM4ty9eXVNTrQ5VXQSlkO6cura2KGJQXiSXZ84+w9DvFalTmM9F9v7NeiivgVD/NnFKh/7ouNp9ZEPi/Nz9HuNrfqc0uU43ToK59cqAUzCvTgS7sitZ+S9K3f7tCFJ1YrL9upbz+7Y0ghuPPcY2OGl6IVMUbS3bJfd/63VzO3hSY/62zaox9cKS1fvnySc4apanebW3c8s10XnlitmvICffeC4+QLBFVakK1sp9F3nn1P+w95df26JZE5g/pPcN/4zXatP2629rT16r7fN+ieLyzXV37x15hWU7tauuPG3vebu7QkXPEbD/ES/Qpys+K2PPrOebQ8QvpIpJfBx509ys9x6NvnLZPbF1BBTpaynKHl1dMHYmGf7dOtG+qHVBAE7cBNRbcvEOm10c+V7dDPLj0xJl9dXn/ccXNX1UyPpNn6cUekYqM/zfWPb1XtzEIdV10qSert9evJrU264YmBPN18Vr3OrK+MqeDY294TyXf/tr7+6606vro08jsk2iMjgoUi5gAAIABJREFUf9jJ0Ce3BXci+U/Hc1iRKzvu71nkogENhud0GlWWuGIqUitLXHI6J6Ysp3p/mBpSHd+4NsV4pLJHqtMpFedl60CXN7KsOC9bTjrBYRTJjm9UboxTdCvdYNDqhfcOKGilfe09cWufPj7UIykUWII2NCn435xUrYpil9rdXn3Y6tZ3f/d+ZJ0b19Xphy82RFolb1pTK2OkB1/ao/NXzNHsaS7ded4y7W51KxAMas60vJgbGVoRYzSFM+eqtProyc4GjhBtbq++uHKefvHqHl20ar6+/ex7MS3lLjhhrg50+1SY44w5wf38lT1q7PAoeujz3jjjJD+6ZZ9uWV8f0yL47z+9SD97abdOPqpsxFhIvIQkdXj8+uLKeTHn4r//9CJ1MmYs0shIcyz0x7DWTp8+bO0ZOrl3oUvVA3UNKnblKCfLH/NwLyfLoSLXQM+N1u748yS1dftiljV2DDPEVYdXx84Jvd93qDdumv2HeiOVG+80dUYqNvo/v+GJrZo/I18rF5SN6XdIJI0k+fritxzz98Wum2qJ5j/Rc1iqhqjo8vrj/p7dxFKMoN3t1/d+935kqLm+oPS9372v2zYsnRL7w9SQ6vjGtSnGI9Hrh2Ro7fRpf3tozuHoa845JXkx15zAYId648e3Q57xxTcqNw5DaPJwt/Yd6pU3ENTxc6fJ1xfUN36zfUjt07pjZ0sK1ewX5zp10ap5keXHVBZFhqmSQoHnpqe26fJTanTf7xvk8YcmDL/zvGVq7PDonucbdNWahfr+5oZIXhZXFk3KbwAAich1OvTd372vy0+piVRsSAPzEn33guN0w5Pv6orVNXrgT7uGtIhaOb9U/3rmMer1B5Wfm6WrT1uoR7fsU2NHaGz49h6fqsvydNWnFsoTCMphpKC1au/xTerY48gcRbnZ+sWre2LO3794dY++Res4pJFE5ljo9gXiThR+/0UnxGzL7e3Ttb98e8i2fn7Zysj7soKcuHNbTI8aukqSChPo/TDcMFilUdtq7vQOM0SUN2bZzKLh578bS5pQvnLjthxbWx87gHoyKwcS2VYy59NI5RAVRbnZcX9PYilG0u0JRHroRuvyBKbE/jA1pDq+cW2K8UjlfFzdvoAefm1vzKgzD7+2V3WzipO+L0wtxa7kxjcqN8YpGLTa/F6zdrW4I93wXdkOfe1zi/WVTy7UjU9sU2l+js5fMUd/t6ZWzZ0ezSvL09+tqVVZQY7+9clt+vyKat2zeaeuWF0T90bOmNj3u1vdkkKByUa1YnZlOzS7JC8VXxsAxqW/9a8xGnZujNL8HLmyQmOw72vv0aNb9qm9x6dNa2p1/eNbdeGJ1SrIcer2p7ervcenq0+r1UMv71F7j083nlmnnU1dchijx14PVXpsOm3hpI89jszR7fXrspMXqK3HFxkz9rKTF8idIa3jfL4+vf1xh5o6PaoqdmnprBLlTPKwOki+ROZY8Pjjjwk+eNlwvTJao3plFLmyIte1/fu76aw6FQ2a7M+V7dC/X3y8shxOtXR5VV6Uq0CwT3nZA3Np5Oc4deOZdbrpyYFt3XhmnQqiymlFce4wE4XHjt2c5ZRuOqtuSL6ynLFp4u0va9Bhkcz5OxKR6LaSOZ9GKoeoyPRYislRXhS/8nNGYc4Ia2XO/jA1pDq+EU8xHqmcjytog5HnmtG9mYLRDyyBOIaLb+PtCUflxjjtbnPr7X0dke5XUuhG4fbf7NA1n67Vg5et1J5Wt26Iuum6dUO9ivOylZvl0HVrj9H2pk5dsbpGedmOuBdXgyswvIH+sYfrdN8LDZHlt26oV92skpR+fwAYi4LcUKteSXHjXd2sEhWfkh0zXNUN65aoo9evh14ODU119/M7tfHUGp1z/Bzd9/sG3f38Tv3gi8erx9enHq9f97ywS+09Pl1+Sqj3x2mLZ2rp7GnMn4GEFLmy5e1zx3SrvuYzi1SYAePE+3x9+vXbH+uGqGHZbl5frw3HzqKCY4pJZI6F6cP0kJheEFuWi1zxe1tEV1x4/H36wQsNMS3yfvBCg75zfmyrquI8p3a19gyZLPy4uQOVErUzCtTU4YmZCyTbaVQ7Y+Bmu66yUFd+snbInBt1lbEP4Fu7fPL6+2KG1PL6+9Ta5dO88OhVzZ1e/fAPDTEtwn74hwYtLF+meWUD29vb3qN7N++MSXfv5p3jmr8jEYluK5nzaaRyiIpMjqWYPKX5ziHDi96yvl7TCybmHJbq/WFqSHV8I55iPBwOo9OPqdAjG1epscOjqhKX6qpKJuSeOD8nO1KxISky6sxDUb2AgXgKcrLk7QsOiW8FOeOrpqByY5yaO0NjwMe7Uej09qm926cbwr03zjl+joyRPjrYo2l52XI6jFrdodopp5HKC3L0959eFDPW2E1n1ekHURUYt6yvV06W0bfPW6ag7dM/nr5YVlJ1aZ7qZpUoK8sRJ5cAkB4qinP1r2fW6Zev79Xdn1+ubY0dCtpQi9zPr6jW/vaeIcNV3fzUu7rqUwsjQ0+V5ueodmaRerwBXbVmoR57fZ/a3D7tbuvRf/11YIgqp0O664LjqNjAmASDVs9ua9Sd5y1Trzeg/NwsPfjSLi2bk/6NB97+uCNSsSGF5yl4fKtqZhRoxXwGvJ1qRptjwZXt1E1nLtH+8HxFTiPNKnHJNajLQm620dc+tzjmmrSsIEc52QNxs8sT26rKacKtqgYN3XKopy/uZOHRQ1w1dvm04+N2rVpYIdtlVV6cq1d2NmvhzCIdlRdqLd3Q0qP7XtgZU5ly3ws7dXRFoZZVD1SUeAJ9uv03O4ZUzDxwyYrI+45ef9xhZw71xrYIa+70xE03nvk7EjGWbSVrTqhUDlGRybEUk6exw6+PD3bpwUtXRirzXmloVlWJS0fNTP7+Pk7x/jA1pDq+EU8xHsGg1bPbm1MyFGVHjz/uNU1HD72LMDKnw8SNb8dXTxvX9qjcGKeKYpecJn4L5OJcp3oDfSrNz9FFq+bFdNG689ylaur0DplwpyDHqY2n1mhRRZGCVnrqrY/0rXOXqanTo4aWbt313Ptq7/HpjnOP1exp+ZpekDthEwECQLJVFrpUW1Ggc0+o1tWPvBGJf9evW6JHXt2rvzlpXtwLo/LC0MOsqhKXLv7EPP1jeH6i/tjZ7vbGPJByZTt0am25jq8uJT5iTPzBPp17fLWujSpjN66rUyA4uZMKJ+JA1/APS3Hk8fgDcjgcMdeat6yvlzcQWyGR63QqN9sZk+6ms+rkcg5UghS5stXj7x563TpoWKqWBIa4aunq1cySQl3y01djjrHW7l4dNTP08L7F7Y07vEGLO3bODV9g6DBbHn9QvsDAsmJXdvzr9EEtXhN58J/MyoFUVjT0S+UQFZkcSzF5vIE+ZWfnxMSHTWtq5evrm5D9+VK8P0wNqY5vxFOMRyqHonRlO+Ne07joOY5ReAKBuPHNGxjfeZjm/mMUDFrtaulWc6dHn6gp03VrF8cMtXL1abWqrSzS7la3zl8xZ0gXrYaoOTr6l939/E5NL8hVXrZTt/33dl37y7e07tg5Or66VOuOnaUNx83Wdz+/TE9vWq0zj52lFfPLVFNeyIM7ABlja1Onmju8kbHPpVD8u+Wpd7V60UzlRw1b1c+V7VBBbugB2vkr5sSdILe2sigmBt+6oV7HzaHHBsYu25Glm56KLZ83PbVNWY70vzgvL8yNe/z0Vw7iyNIXNHF7UQSCsXHR7euLzFnRn+7GJ7apxzdwU9EfawfHXu+gioViV/wYHj3ElTGOuMdY9O1IsSv+8AbFubEVEqUFuVoxr0T3fGG57jhnqe79wnKtmFei0vyB8fIrinN19Wm1Q67TB8/f0f/gPzrd4Af/iaRJVDK3laj+Ia6e3rRaD288SU9vWj0hLTilzI6lmDzDHfuFuRMz/E6q94epIdXxjXiK8Riph2iyFbuy4l5rFeXSjh4jS3Z8o8SNQf8EgHc8s13rjp2tEpdTs6bl6+rTajU9P0flRbl6r7lL7zV269Et+3TNZxYNCSrDDWXldBqdML9UFcUuLSwvUH3UcCrJ6I4OAJOpqdMjtycQN/4ZI+0/1KOrT6uNPETrvzAqL8rRfV9cPuxE5O81dWvjqTVaWF6o+WX5WlLFMH0Yn9Zu7zAtz73DrJE+rKRNa2qHtHYXdXxHpDZ3/LLcNqj3Q9cwMbkzasip4dJ0DRqWqrQgK24ML80fuNUYLl8Ho/LV44u/vx5/7P6CwYAuWBHb2uvms+oUtAMVM9XTC1RbURgzL0dtRaGqp8dWIiQyt0Uy57+QpJwsE5OvnKyJP1iTNcTVaDI5lmLytA7T++ug2zfMGoe7v2HiJOUUI0h1fCOeYjwqil2aV5andcfOjgzx+eRb+ydmKEpZVRa7Yq5pKotdCt2dAMNLdnyjcmMMdre5dccz2yPd5S8/pUZ3hW+qJOmqNQv14z/u0hWra9Te49OBLs+QLlrDDmXlytKOjzs1o8gVU7EBjEewL6AdO3ZE3u/YsSNmgnog1aqKXXrt4MG48c9a6f++ulfXfGZRzIXR7NI8vdfUpQf+/KH+4fTFcdedPS1POw906dg5JZo/g0pgjN/MotxhhopJ/94PZQW5emTL3pgJkR/Zslefrauc7KxhEvT35Blclgf35JleEH/Ypun5Ay2Xy4viT04+ozAnZlvFedmaOz0/JobPnZ6v4qhtzRgmX9MLBvJVlBs/T4NbUwf6jG4Y1Ovkhie26aFLxzeBZSIP/pNVObC7za2rfvHGkO/49AQMFzEZMjmWYvLMmpYXt9xUFU/McG1lw8SjMno8YgSpjm/EU4xHdWm+/m5Nrb7+662RBiC3bqhXdWl+0vdVkpej//jLu7r45Br1+gLKy8nSQy/t0p3nHZf0fWFqSXZ8o3lrAvqHonq/uUsXnlgtT6BPV6yuUXVpXsx/xGOv79OmNbV68q392rSmVo9u+Uib1sR20ZpXlq/bzl4as+zm9fXqCwZ16qLyCesijiNLd8t+3fnf7+i6x97SdY+9pW888gf19vYmvL7f79cbb7wR8/L7mRQK41denKOqaa7QeO5R8e/6dUu0uLJQXz9jiYy1KnZlaf700IXXN57eodt/s0NXfnKhHnxp15B4ev26Jbr96e265/kGNXWOrZttf1x/+YNW7WrpVjBI7d+RLi/H6Ob19UPOz3k56X9OdjqkC0+s1gN/2qXvb27QA3/apQtPrJaTq7wjkjfQNyReblpTK9+gMWzb3H79/acXxaT7+08v0sGoSSCLXE7dMui4uGV9vYrzYruMN3f49LM/79LCmUWaW5qn2plF+tmfd6m5Y6DVdY8vEDdfnqheGR0eX9w0XZ7Y1tvNXfFbex3oGmjt1V+JcM/zDfr+5gbd83yDrvrFG9rd5h7Dr5l8qRwuIlqqznuZHEsxeeqqinXrhthyc+uGetXNmpiJkyuKc3XjmbHXpDeeWTdk2DogWqrjG/EU47G3vUf3hhtjX7Vmoa5YXaN7N+/U3vaepO9rflmBLjvlKF37y7f0T4+9o2t/+ZYuO+WoCR1qE1NDsuMbPTdG0T8U1TWPvqmb1y/RcXOnqbXbp7KCbGlQL4zGDo8e2bJXXz19sT4+1KOb19fro4M9+tFFJ6ily6uCnCy1dHlUU56vhy5bqQNdXpUV5KiyOFfzyphDA8lVOHOuSquPliR1Nu0Z07pbt27VV+57QsWV8yLr/+BKafny5UnPJ44Mbd0+zZqWKyOnrj6tVjMKc1VWGGoR3O3pU1DSd363U3vaelVV4tI5x8/R+SvmaOHMIvn8fn3p5Br12aB+dNEJ2t7YpR5fQJ29fjV2eMY8EWt0XI+eWJXK5SNbj8+q092jhy5dqeYujyqKXHr7o1b1+JLfyinZGjs8eujlPTE9Nx56eY+WV0+jR9MRKNvpjNuT54R5y2LSTcvP1i9ejS03v3h1j+48dyBdlnGqI85x4TTTYrZ1sMenNYsrY4aJ2rSmVu09A5US0wty9ciWbUPyde+FA9cWZQUuPbLl3SFp7vl87PVHVUn81l7RDyZHqkQY3EMiGLTa3eZWc6dHFcWHN+TUaCZjQvFUnveGjaXe9I+lmDxZWQ5tWDZbtTML1dThUWWJS3UTONTo3NICzZrm1rfPWya3L6CCnCwV5Tk1t5QHchhequMb8RTj0drt1dfOWKxiV45aurwqL8rV0tlFanN7k95DNNnDduLIkez4RuXGKHa3ufXX3S168NJQZYTTYVRTnqe7f/e+1i2bo2+cvVT//Kt3IjcKf3vqQn3n2R3a09areWV5+ttTF+p///z1mBuJk4+aycGOtFdcOS9SOQIcjkAgqA9a3AoE+lRRkqvyotxIN9l5ZXn62/+5UD/8Q0NkyL/GDo8e+FOop8Z3nt2hr55+tD7u6NVdz70fiaXXfGaRfvrn3eOaiHV3mzvygEcKPey65tE3tTjJQ4Kk8mEZDt/cUqd2t+br4p++GjWGf73mlqb/pI0VxS619/h03+8bIssm+mEp0tes0ty4wxHMKo1tkTyjwKkrP1mrG57YGlPmZxQOlPmsLKOi/LyY4+Kms+qUPWiOiNK8bG3e0aQ7z1umXm9A+blZevClXTpx/jGRNItnFmnTmkX6l18PXDfftmGpFlcUD2ynIEtXfnJhZMip/rk0Sgtjh6WqryzRzWfVD8n70qqBVt6Jjjmd6grv/gnFB+9vIls5puq8J40QS6enfyzF5MrKcmjZ3FItmzvx+3I4jFYvnKndbW4eyCFhqY5vVdOc2t2aN2h/darKgGtTTJ6SPKfyc3LV45WMkZwOo9nTcpXtnJhyk6o5vTC1JDueTunKDWPMWkl3S3JK+rG19ptj3UZ+dkCn181Wc5dXFcW5mlvq1AetXn319KP1zNsfa1XtTP3fK05Sc5dH0/Nz1esP6FvnLtPBHp+m5WfLF+jTI19epR5/Hw+3AByRtjV2aH9bl1YfXalub0BlhUY/v3yl2t1+5ec4VZSbpds2LJWvr08PXrpSnb1+Fbqy5PEH9J3zlykny6HKYpfuv+gEefxBFbmcys/O0ikLy+Tvs+rx9Wl3mzvyYGi0CoWxtOYdL3qHJEcqK4i8funU2qKB1iPFLlWXOuXJgBH55pcV6BdfPlH+gIk8pMnOsnQJP0Idcge0bG5sWS4tcOqQO6C5pQPpglY6qSY2XUWxU76oubvb3T7VVeXHpMnPtmp3+zSvbCCd0xhdu/ZoyTrULKuK4lxdu/ZoOaOO18bOHi0sd8VsK9dp1djZo3kzikL76/ZrznRXuFFRqCz32T61d/tVPX1gf1lZDs0pzdVPv3SiWru9mlGYK2uDMa28q0vz9S//a4l8/qDc3oAKXFk6ds6SIWNOJ/rgv7fXr3eaOtXcGbonWFpZrLy82EoXKVShv62xQ40dHlWV5KmuqjgmXw6H0enHVOiRjati0sSLbcmKgak47/XL5FiKIwsP5DBWqY5ve1v9Ki9yxrRsdvs82tvqjzmfA9FynaFhRXu8A8ORTi9wyjdB5bSr16PtTe7I9dExlQUqyqOBFUaW7Hg6ZSs3jDFOSfdJ+oykfZJeM8Y8Ya19N9FtHOr16MWdXUNaha06qkgev3TGslna1+6RyclWcV6OPmxzqyA3S67sLOVlOzSjIFc15Qw3BeDIZm2fFsws0V8+PKi7n98Z6bFx1adqdf+LDTr3+Gr98MUGXXbyAvX4uyNpXNkOfeu8Y9XY4YnptfEPpx+tn7+yW1d9qlaPvLZHW/Z0yJXt0Pe/uFy+gB21QiEVQ4KkspXsVJXqCiJXtuKe80+tLUr6vpLN6w2oobl3SN6PKQ/EffiKqa0kX3rlg84hvR9WHVUck86VI73cMDTdJxYOpCvJc+id/T1qaHEraKWGA906qrxAS2cXDtqnQ6/v6R6yrRPmDWzL19en95p7hqRZXj1wO+J0GH100KMbo9LcdFad6qpiJzB/70Cn3trXGXO+uPq0WpXk56huVmjIrH3tbrV1+3TTkwPbuvHMOu1rd2t++cBxnciD/95ev57c2jTkGDuzvjLmGAsEgvr1W/uH9JrZsGx2pIIjGLR6dnvzqLEtmTEwlUNhZXIsBYCRpDq+VU3L0xn3bBkSu5/etHpC9oepIZXltKvXo99sbRmyr8/Vl1PBgRElu5xO5akmV0pqsNbustb6JD0saf1YNvB+kzvyQ0uhG50bntiqpo4+HXL3qd3dp7ycbDV3edXWHZpTY0lVsU6qKdP/PLpCCyuKqNgAcMTz9Rk1tAxUWkjSumNn6/rHt+rik2t001PbtO7Y2Wrr8cWk8fiD2nmgO1Kx0b/s28++F7N+//K393XErVAYPHls/5Ag0ZNXJXtIkMmaMHYqGa6CaKImA97b3hf3nL+3vW+UNSffO02dcfP+TlPnJOcMk6HpUF+kAkHqLw/b1HQotiw3tsdP1xhV5tvdQe0/5NH9L4Ymq//Ri7u0/5BH7e7Y+NbWHX9bbd3R24qfpt09kMbt64tUbPSnufGJbXL7YvN+0O0fcr64+/mdancPNPdq7PRGKjb609z05DY1dnpjttX/4D/a4Af/iR5j2xo7IhUb/em+/uut2tbYEUmTaGxLZgxMxXmvXybHUgAYSarjWypjN6aOVJbT7cM8M93eNDH3a5g6kl1Op2zPDUmzJX0U9X6fpJPGsoHmTm/ch1PNUTdF1lpVlrgU6LPyB/s40QDAIM2dXgWtYuKpMaH3vd6APP6gjNGQNFL8Zf3pPf6geqPGTxku7eBhN1Ix8dlkTBg71aRyGJXQ/kY/56erTM47kq+5a5jy0OUdc7ouXyBuJcKPLjphzNtKJM2BYdK0DMp7tycQN12XZ+Cc0Nbti5umze2LWZbIHBiJHmONHfHjVlOHJzKPQKKxLZkxMJUTfhKPAExVqY5vTNaM8UhlOeWcj/FKdtmZypUbCTHGbJS0UZKqq6tjPqsozo37cKqiKFcKn0+C1qqswKmc7CzNLuFEg+QbqYwmS7AvoB07dkTe79ixQ9ZOyK4wRY0WSxsOdMWNp/m5WZHWSE6jIWniLXNlO2Rt6N+8nKxR08arUJjocZYnY8LYqWYiKojGfc5Pc8PmvTj9845YyTjnJ1oeEknn8ffFvfHwDlqWyLYSSVNVkljeZxbFT1cedbxWDretQcd0Ig+PEv1Nq0ry4qarLHFFbSux2JbsGJjM895UjaWYWlJxD4Ujy0TEt9HKKXPDYKySXU7Hdc7nHgSjSHY5ncrDUu2XNDfq/ZzwshjW2vuttSustSvKy8tjPqsoztLNZ9XFdAO8+aw6lRU6VV3qVNU0p+ZPz9K86cWaW8rcGpgYI5XRZOlu2a87//sdXffYW7rusbf0jUf+oN7e3mHT+/1+vfHGGzEvv5+ZIo9kI5XTpZXFOqq8UFefVhuJp0++tV+3rK/Xgy/t0o3r6vTkW/tVXZYfk6b/QdWNZ8bG4X84/Wg99XZo/Yde2hVZvnROSdp03e5/WPb0ptV6eONJenrTaiYTH6OJ6Io/UjmdWRT/nD+zOP3bgSytLNbNZ9UPynu9llYWj7Im0k0yzvlHVxbELQ9HV8YeO4uGSbcoKt38svy4QzbNK8uLWVZfWRR3W/WVA+Pm1lUWxk1TV1kYtZ2S+GW5qiRmf3WVxbplfWy6W9bXqz6qzCe6LWng4dGqmhlx58tL9BirqyrWrRti0926oV51UftMNLal83Ak47l/qihJ/1iKqSUV91A4skxEfKOcItmSXU5HK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\n","text/plain":["

"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":713},"id":"5hNPwHP5JUek","executionInfo":{"status":"ok","timestamp":1630336501637,"user_tz":-330,"elapsed":1551,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"ca7cd456-aa03-4d1b-93eb-2b6da7b96ebd"},"source":["plt.figure(figsize=(10,10))\n","sns.heatmap(df.corr(), annot=True, cmap='RdYlGn')"],"execution_count":46,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{},"execution_count":46},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["

"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","metadata":{"id":"vJ0K1oIyJUp_","executionInfo":{"status":"ok","timestamp":1630337034720,"user_tz":-330,"elapsed":388,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["# X = np.array(df.drop('Selling_Price'))\n","# X = np.array(df.iloc[:,1:])\n","# y = np.array(df.iloc[:,0])\n","X = df.iloc[:,1:]\n","y = df.iloc[:,0]"],"execution_count":56,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":478},"id":"-V3ExToNJUt7","executionInfo":{"status":"ok","timestamp":1630337042326,"user_tz":-330,"elapsed":407,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"b0e3c266-8fd2-4c51-ec08-209ebe49286e"},"source":["X"],"execution_count":57,"outputs":[{"output_type":"execute_result","data":{"text/html":["

	Present_Price	Kms_Driven	Owner	no. of year	Fuel_Type_Diesel	Fuel_Type_Petrol	Seller_Type_Individual	Transmission_Manual
0	5.59	27000	0	7	0	1	0	1
1	9.54	43000	0	8	1	0	0	1
2	9.85	6900	0	4	0	1	0	1
3	4.15	5200	0	10	0	1	0	1
4	6.87	42450	0	7	1	0	0	1
...	...	...	...	...	...	...	...	...
296	11.60	33988	0	5	1	0	0	1
297	5.90	60000	0	6	0	1	0	1
298	11.00	87934	0	12	0	1	0	1
299	12.50	9000	0	4	1	0	0	1
300	5.90	5464	0	5	0	1	0	1

\n","

301 rows × 8 columns

\n","

"],"text/plain":[" Present_Price Kms_Driven ... Seller_Type_Individual Transmission_Manual\n","0 5.59 27000 ... 0 1\n","1 9.54 43000 ... 0 1\n","2 9.85 6900 ... 0 1\n","3 4.15 5200 ... 0 1\n","4 6.87 42450 ... 0 1\n",".. ... ... ... ... ...\n","296 11.60 33988 ... 0 1\n","297 5.90 60000 ... 0 1\n","298 11.00 87934 ... 0 1\n","299 12.50 9000 ... 0 1\n","300 5.90 5464 ... 0 1\n","\n","[301 rows x 8 columns]"]},"metadata":{},"execution_count":57}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"8ZJLR5qWJUyJ","executionInfo":{"status":"ok","timestamp":1630336750842,"user_tz":-330,"elapsed":395,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"84e26891-6f70-43f4-96db-ffa4905c4850"},"source":["y"],"execution_count":51,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([ 3.35, 4.75, 7.25, 2.85, 4.6 , 9.25, 6.75, 6.5 , 8.75,\n"," 7.45, 2.85, 6.85, 7.5 , 6.1 , 2.25, 7.75, 7.25, 7.75,\n"," 3.25, 2.65, 2.85, 4.9 , 4.4 , 2.5 , 2.9 , 3. , 4.15,\n"," 6. , 1.95, 7.45, 3.1 , 2.35, 4.95, 6. , 5.5 , 2.95,\n"," 4.65, 0.35, 3. , 2.25, 5.85, 2.55, 1.95, 5.5 , 1.25,\n"," 7.5 , 2.65, 1.05, 5.8 , 7.75, 14.9 , 23. , 18. , 16. ,\n"," 2.75, 3.6 , 4.5 , 4.75, 4.1 , 19.99, 6.95, 4.5 , 18.75,\n"," 23.5 , 33. , 4.75, 19.75, 9.25, 4.35, 14.25, 3.95, 4.5 ,\n"," 7.45, 2.65, 4.9 , 3.95, 5.5 , 1.5 , 5.25, 14.5 , 14.73,\n"," 4.75, 23. , 12.5 , 3.49, 2.5 , 35. , 5.9 , 3.45, 4.75,\n"," 3.8 , 11.25, 3.51, 23. , 4. , 5.85, 20.75, 17. , 7.05,\n"," 9.65, 1.75, 1.7 , 1.65, 1.45, 1.35, 1.35, 1.35, 1.25,\n"," 1.2 , 1.2 , 1.2 , 1.15, 1.15, 1.15, 1.15, 1.11, 1.1 ,\n"," 1.1 , 1.1 , 1.05, 1.05, 1.05, 1.05, 1. , 0.95, 0.9 ,\n"," 0.9 , 0.75, 0.8 , 0.78, 0.75, 0.75, 0.75, 0.72, 0.65,\n"," 0.65, 0.65, 0.65, 0.6 , 0.6 , 0.6 , 0.6 , 0.6 , 0.6 ,\n"," 0.6 , 0.6 , 0.55, 0.55, 0.52, 0.51, 0.5 , 0.5 , 0.5 ,\n"," 0.5 , 0.5 , 0.48, 0.48, 0.48, 0.48, 0.45, 0.45, 0.45,\n"," 0.45, 0.45, 0.45, 0.45, 0.45, 0.42, 0.42, 0.4 , 0.4 ,\n"," 0.4 , 0.4 , 0.4 , 0.38, 0.38, 0.35, 0.35, 0.35, 0.31,\n"," 0.3 , 0.3 , 0.3 , 0.27, 0.25, 0.25, 0.25, 0.25, 0.25,\n"," 0.2 , 0.2 , 0.2 , 0.2 , 0.2 , 0.2 , 0.18, 0.17, 0.16,\n"," 0.15, 0.12, 0.1 , 3.25, 4.4 , 2.95, 2.75, 5.25, 5.75,\n"," 5.15, 7.9 , 4.85, 3.1 , 11.75, 11.25, 2.9 , 5.25, 4.5 ,\n"," 2.9 , 3.15, 6.45, 4.5 , 3.5 , 4.5 , 6. , 8.25, 5.11,\n"," 2.7 , 5.25, 2.55, 4.95, 3.1 , 6.15, 9.25, 11.45, 3.9 ,\n"," 5.5 , 9.1 , 3.1 , 11.25, 4.8 , 2. , 5.35, 4.75, 4.4 ,\n"," 6.25, 5.95, 5.2 , 3.75, 5.95, 4. , 5.25, 12.9 , 5. ,\n"," 5.4 , 7.2 , 5.25, 3. , 10.25, 8.5 , 8.4 , 3.9 , 9.15,\n"," 5.5 , 4. , 6.6 , 4. , 6.5 , 3.65, 8.35, 4.8 , 6.7 ,\n"," 4.1 , 3. , 7.5 , 2.25, 5.3 , 10.9 , 8.65, 9.7 , 6. ,\n"," 6.25, 5.25, 2.1 , 8.25, 8.99, 3.5 , 7.4 , 5.65, 5.75,\n"," 8.4 , 10.11, 4.5 , 5.4 , 6.4 , 3.25, 3.75, 8.55, 9.5 ,\n"," 4. , 3.35, 11.5 , 5.3 ])"]},"metadata":{},"execution_count":51}]},{"cell_type":"markdown","metadata":{"id":"anKyzMFMpRHX"},"source":["# Feature Selection (Feature Importance)"]},{"cell_type":"code","metadata":{"id":"eaz2PfuCpN9E","executionInfo":{"status":"ok","timestamp":1630336865647,"user_tz":-330,"elapsed":467,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["from sklearn.ensemble import ExtraTreesRegressor"],"execution_count":52,"outputs":[]},{"cell_type":"code","metadata":{"id":"kpbDfmlepOA3","executionInfo":{"status":"ok","timestamp":1630337048579,"user_tz":-330,"elapsed":394,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["model = ExtraTreesRegressor()\n","feat_imp = model.fit(X,y)"],"execution_count":58,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"KggsozqEpODc","executionInfo":{"status":"ok","timestamp":1630337051083,"user_tz":-330,"elapsed":383,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"dcc741a9-603d-41cf-a437-6d173dddaacf"},"source":["feat_imp.feature_importances_"],"execution_count":59,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([0.37559549, 0.04269043, 0.00042893, 0.07860415, 0.22899992,\n"," 0.011506 , 0.13247218, 0.1297029 ])"]},"metadata":{},"execution_count":59}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":283},"id":"iaa1iDFapOHR","executionInfo":{"status":"ok","timestamp":1630337271894,"user_tz":-330,"elapsed":479,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"56da1275-8212-4e98-fc8b-760fb8418b6a"},"source":["imp = pd.Series(feat_imp.feature_importances_, index=X.columns)\n","imp.nlargest(7).plot(kind='barh')"],"execution_count":63,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{},"execution_count":63},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["

"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"8-mQyVYarmWZ"},"source":["# Splitting the data"]},{"cell_type":"code","metadata":{"id":"dKwEjz6bpOJx","executionInfo":{"status":"ok","timestamp":1630337454974,"user_tz":-330,"elapsed":630,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["X_train, X_test, y_train, y_test = train_test_split(X,y, test_size=0.2,\n"," random_state=0)"],"execution_count":64,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":478},"id":"SOMvJx3ApOP8","executionInfo":{"status":"ok","timestamp":1630337482421,"user_tz":-330,"elapsed":397,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"10b20873-d783-4062-f098-1d3bf6013138"},"source":["X_test"],"execution_count":66,"outputs":[{"output_type":"execute_result","data":{"text/html":["

	Present_Price	Kms_Driven	Owner	no. of year	Fuel_Type_Diesel	Fuel_Type_Petrol	Seller_Type_Individual	Transmission_Manual
223	9.400	61381	0	6	1	0	0	1
150	0.826	6000	0	10	0	1	1	1
226	5.700	24678	0	6	0	1	0	1
296	11.600	33988	0	5	1	0	0	1
52	19.770	15000	0	4	1	0	0	0
...	...	...	...	...	...	...	...	...
137	0.787	16000	0	8	0	1	1	1
227	4.430	57000	0	10	0	1	0	1
26	5.870	55138	0	8	0	1	0	1
106	3.450	16500	1	7	0	1	1	1
92	13.700	75000	0	16	0	1	0	1

\n","

61 rows × 8 columns

\n","

"],"text/plain":[" Present_Price Kms_Driven ... Seller_Type_Individual Transmission_Manual\n","223 9.400 61381 ... 0 1\n","150 0.826 6000 ... 1 1\n","226 5.700 24678 ... 0 1\n","296 11.600 33988 ... 0 1\n","52 19.770 15000 ... 0 0\n",".. ... ... ... ... ...\n","137 0.787 16000 ... 1 1\n","227 4.430 57000 ... 0 1\n","26 5.870 55138 ... 0 1\n","106 3.450 16500 ... 1 1\n","92 13.700 75000 ... 0 1\n","\n","[61 rows x 8 columns]"]},"metadata":{},"execution_count":66}]},{"cell_type":"markdown","metadata":{"id":"lCpB_MKqr9pz"},"source":["# Model Selection"]},{"cell_type":"code","metadata":{"id":"ss46pKO4pOTX","executionInfo":{"status":"ok","timestamp":1630337520916,"user_tz":-330,"elapsed":392,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["regressor = RandomForestRegressor()"],"execution_count":67,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"RKWAlhn0sIK3"},"source":["# Hyper Parameter Tuning"]},{"cell_type":"code","metadata":{"id":"EgqLIuAgpOW5","executionInfo":{"status":"ok","timestamp":1630337978202,"user_tz":-330,"elapsed":372,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["n_estimators = [int(i) for i in np.linspace(start=100, stop=1200, num=12)]\n","\n","max_features = ['auto','sqrt']\n","\n","max_depth = [int(i) for i in np.linspace(start=5, stop=30, num=6)]\n","\n","min_samples_split = [2, 5, 10, 15, 100]\n","\n","min_samples_leaf = [1, 2, 5,10]"],"execution_count":70,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"RVVGWkNvpOa0","executionInfo":{"status":"ok","timestamp":1630337982460,"user_tz":-330,"elapsed":387,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"8b718d1d-ddf0-4484-c3a6-701c2b894b7a"},"source":["random_grid = {'n_estimators':n_estimators,\n"," 'max_features':max_features,\n"," 'max_depth':max_depth,\n"," 'min_samples_split':min_samples_split,\n"," 'min_samples_leaf':min_samples_leaf}\n","print(random_grid)"],"execution_count":71,"outputs":[{"output_type":"stream","text":["{'n_estimators': [100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200], 'max_features': ['auto', 'sqrt'], 'max_depth': [5, 10, 15, 20, 25, 30], 'min_samples_split': [2, 5, 10, 15, 100], 'min_samples_leaf': [1, 2, 5, 10]}\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"AAcBbanKpOdv","executionInfo":{"status":"ok","timestamp":1630338050769,"user_tz":-330,"elapsed":392,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["from sklearn.model_selection import RandomizedSearchCV"],"execution_count":72,"outputs":[]},{"cell_type":"code","metadata":{"id":"WMtE0CZapOhB","executionInfo":{"status":"ok","timestamp":1630338272822,"user_tz":-330,"elapsed":376,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["rf_regressor = RandomizedSearchCV(estimator=regressor,\n"," param_distributions=random_grid,\n"," scoring='neg_mean_squared_error',\n"," cv=5,\n"," verbose = 2,\n"," random_state=42,\n"," n_jobs=1)"],"execution_count":73,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"mNyu7Amnu-Az"},"source":["# Training the model"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"gnS5Lt_MpOkm","executionInfo":{"status":"ok","timestamp":1630338364579,"user_tz":-330,"elapsed":47797,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"b98c50a8-19f4-4402-e5eb-f17101d0b15e"},"source":["rf_regressor.fit(X_train, y_train)"],"execution_count":74,"outputs":[{"output_type":"stream","text":["Fitting 5 folds for each of 10 candidates, totalling 50 fits\n","[CV] n_estimators=900, min_samples_split=5, min_samples_leaf=5, max_features=sqrt, max_depth=10 \n"],"name":"stdout"},{"output_type":"stream","text":["[Parallel(n_jobs=1)]: Using backend SequentialBackend with 1 concurrent workers.\n"],"name":"stderr"},{"output_type":"stream","text":["[CV] n_estimators=900, min_samples_split=5, min_samples_leaf=5, max_features=sqrt, max_depth=10, total= 1.1s\n","[CV] n_estimators=900, min_samples_split=5, min_samples_leaf=5, max_features=sqrt, max_depth=10 \n"],"name":"stdout"},{"output_type":"stream","text":["[Parallel(n_jobs=1)]: Done 1 out of 1 | elapsed: 1.1s remaining: 0.0s\n"],"name":"stderr"},{"output_type":"stream","text":["[CV] n_estimators=900, min_samples_split=5, min_samples_leaf=5, max_features=sqrt, max_depth=10, total= 1.2s\n","[CV] n_estimators=900, min_samples_split=5, min_samples_leaf=5, max_features=sqrt, max_depth=10 \n","[CV] n_estimators=900, min_samples_split=5, min_samples_leaf=5, max_features=sqrt, max_depth=10, total= 1.1s\n","[CV] n_estimators=900, min_samples_split=5, min_samples_leaf=5, max_features=sqrt, max_depth=10 \n","[CV] n_estimators=900, min_samples_split=5, min_samples_leaf=5, max_features=sqrt, max_depth=10, total= 1.1s\n","[CV] n_estimators=900, min_samples_split=5, min_samples_leaf=5, max_features=sqrt, max_depth=10 \n","[CV] n_estimators=900, min_samples_split=5, min_samples_leaf=5, max_features=sqrt, max_depth=10, total= 1.1s\n","[CV] n_estimators=1100, min_samples_split=10, min_samples_leaf=2, max_features=sqrt, max_depth=15 \n","[CV] n_estimators=1100, min_samples_split=10, min_samples_leaf=2, max_features=sqrt, max_depth=15, total= 1.4s\n","[CV] n_estimators=1100, min_samples_split=10, min_samples_leaf=2, max_features=sqrt, max_depth=15 \n","[CV] n_estimators=1100, min_samples_split=10, min_samples_leaf=2, max_features=sqrt, max_depth=15, total= 1.4s\n","[CV] n_estimators=1100, min_samples_split=10, min_samples_leaf=2, max_features=sqrt, max_depth=15 \n","[CV] n_estimators=1100, min_samples_split=10, min_samples_leaf=2, max_features=sqrt, max_depth=15, total= 1.4s\n","[CV] n_estimators=1100, min_samples_split=10, min_samples_leaf=2, max_features=sqrt, max_depth=15 \n","[CV] n_estimators=1100, min_samples_split=10, min_samples_leaf=2, max_features=sqrt, max_depth=15, total= 1.4s\n","[CV] n_estimators=1100, min_samples_split=10, min_samples_leaf=2, 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max_depth=15, total= 0.4s\n","[CV] n_estimators=300, min_samples_split=100, min_samples_leaf=5, max_features=auto, max_depth=15 \n","[CV] n_estimators=300, min_samples_split=100, min_samples_leaf=5, max_features=auto, max_depth=15, total= 0.4s\n","[CV] n_estimators=400, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=15 \n","[CV] n_estimators=400, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=15, total= 0.5s\n","[CV] n_estimators=400, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=15 \n","[CV] n_estimators=400, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=15, total= 0.5s\n","[CV] n_estimators=400, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=15 \n","[CV] n_estimators=400, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=15, total= 0.6s\n","[CV] n_estimators=400, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=15 \n","[CV] n_estimators=400, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=15, total= 0.5s\n","[CV] n_estimators=400, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=15 \n","[CV] n_estimators=400, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=15, total= 0.5s\n","[CV] n_estimators=700, min_samples_split=5, min_samples_leaf=10, max_features=auto, max_depth=20 \n","[CV] n_estimators=700, min_samples_split=5, min_samples_leaf=10, max_features=auto, max_depth=20, total= 0.9s\n","[CV] n_estimators=700, min_samples_split=5, min_samples_leaf=10, max_features=auto, max_depth=20 \n","[CV] n_estimators=700, min_samples_split=5, min_samples_leaf=10, max_features=auto, max_depth=20, total= 0.9s\n","[CV] n_estimators=700, min_samples_split=5, min_samples_leaf=10, max_features=auto, max_depth=20 \n","[CV] n_estimators=700, min_samples_split=5, min_samples_leaf=10, max_features=auto, max_depth=20, total= 0.9s\n","[CV] n_estimators=700, min_samples_split=5, min_samples_leaf=10, max_features=auto, max_depth=20 \n","[CV] n_estimators=700, min_samples_split=5, min_samples_leaf=10, max_features=auto, max_depth=20, total= 0.9s\n","[CV] n_estimators=700, min_samples_split=5, min_samples_leaf=10, max_features=auto, max_depth=20 \n","[CV] n_estimators=700, min_samples_split=5, min_samples_leaf=10, max_features=auto, max_depth=20, total= 0.9s\n","[CV] n_estimators=1000, min_samples_split=2, min_samples_leaf=1, max_features=sqrt, max_depth=25 \n","[CV] n_estimators=1000, min_samples_split=2, min_samples_leaf=1, max_features=sqrt, max_depth=25, total= 1.4s\n","[CV] n_estimators=1000, min_samples_split=2, min_samples_leaf=1, max_features=sqrt, max_depth=25 \n","[CV] n_estimators=1000, min_samples_split=2, min_samples_leaf=1, max_features=sqrt, max_depth=25, total= 1.3s\n","[CV] n_estimators=1000, min_samples_split=2, min_samples_leaf=1, max_features=sqrt, max_depth=25 \n","[CV] n_estimators=1000, min_samples_split=2, min_samples_leaf=1, max_features=sqrt, max_depth=25, total= 1.3s\n","[CV] n_estimators=1000, min_samples_split=2, min_samples_leaf=1, max_features=sqrt, max_depth=25 \n","[CV] n_estimators=1000, min_samples_split=2, min_samples_leaf=1, max_features=sqrt, max_depth=25, total= 1.4s\n","[CV] n_estimators=1000, min_samples_split=2, min_samples_leaf=1, max_features=sqrt, max_depth=25 \n","[CV] n_estimators=1000, min_samples_split=2, min_samples_leaf=1, max_features=sqrt, max_depth=25, total= 1.4s\n","[CV] n_estimators=1100, min_samples_split=15, min_samples_leaf=10, max_features=sqrt, max_depth=5 \n","[CV] n_estimators=1100, min_samples_split=15, min_samples_leaf=10, max_features=sqrt, max_depth=5, total= 1.3s\n","[CV] n_estimators=1100, min_samples_split=15, min_samples_leaf=10, max_features=sqrt, max_depth=5 \n","[CV] n_estimators=1100, min_samples_split=15, min_samples_leaf=10, max_features=sqrt, max_depth=5, total= 1.3s\n","[CV] n_estimators=1100, min_samples_split=15, min_samples_leaf=10, max_features=sqrt, max_depth=5 \n","[CV] n_estimators=1100, min_samples_split=15, min_samples_leaf=10, max_features=sqrt, max_depth=5, total= 1.3s\n","[CV] n_estimators=1100, min_samples_split=15, min_samples_leaf=10, max_features=sqrt, max_depth=5 \n","[CV] n_estimators=1100, min_samples_split=15, min_samples_leaf=10, max_features=sqrt, max_depth=5, total= 1.5s\n","[CV] n_estimators=1100, min_samples_split=15, min_samples_leaf=10, max_features=sqrt, max_depth=5 \n","[CV] n_estimators=1100, min_samples_split=15, min_samples_leaf=10, max_features=sqrt, max_depth=5, total= 1.3s\n","[CV] n_estimators=300, min_samples_split=15, min_samples_leaf=1, max_features=sqrt, max_depth=15 \n","[CV] n_estimators=300, min_samples_split=15, min_samples_leaf=1, max_features=sqrt, max_depth=15, total= 0.4s\n","[CV] n_estimators=300, min_samples_split=15, min_samples_leaf=1, max_features=sqrt, max_depth=15 \n","[CV] n_estimators=300, min_samples_split=15, min_samples_leaf=1, max_features=sqrt, max_depth=15, total= 0.4s\n","[CV] n_estimators=300, min_samples_split=15, min_samples_leaf=1, max_features=sqrt, max_depth=15 \n","[CV] n_estimators=300, min_samples_split=15, min_samples_leaf=1, max_features=sqrt, max_depth=15, total= 0.4s\n","[CV] n_estimators=300, min_samples_split=15, min_samples_leaf=1, max_features=sqrt, max_depth=15 \n","[CV] n_estimators=300, min_samples_split=15, min_samples_leaf=1, max_features=sqrt, max_depth=15, total= 0.4s\n","[CV] n_estimators=300, min_samples_split=15, min_samples_leaf=1, max_features=sqrt, max_depth=15 \n","[CV] n_estimators=300, min_samples_split=15, min_samples_leaf=1, max_features=sqrt, max_depth=15, total= 0.4s\n","[CV] n_estimators=700, min_samples_split=10, min_samples_leaf=2, max_features=sqrt, max_depth=5 \n","[CV] n_estimators=700, min_samples_split=10, min_samples_leaf=2, max_features=sqrt, max_depth=5, total= 0.9s\n","[CV] n_estimators=700, min_samples_split=10, min_samples_leaf=2, max_features=sqrt, max_depth=5 \n","[CV] n_estimators=700, min_samples_split=10, min_samples_leaf=2, max_features=sqrt, max_depth=5, total= 0.9s\n","[CV] n_estimators=700, min_samples_split=10, min_samples_leaf=2, max_features=sqrt, max_depth=5 \n","[CV] n_estimators=700, min_samples_split=10, min_samples_leaf=2, max_features=sqrt, max_depth=5, total= 0.9s\n","[CV] n_estimators=700, min_samples_split=10, min_samples_leaf=2, max_features=sqrt, max_depth=5 \n","[CV] n_estimators=700, min_samples_split=10, min_samples_leaf=2, max_features=sqrt, max_depth=5, total= 0.9s\n","[CV] n_estimators=700, min_samples_split=10, min_samples_leaf=2, max_features=sqrt, max_depth=5 \n","[CV] n_estimators=700, min_samples_split=10, min_samples_leaf=2, max_features=sqrt, max_depth=5, total= 0.9s\n","[CV] n_estimators=700, min_samples_split=15, min_samples_leaf=1, max_features=auto, max_depth=20 \n","[CV] n_estimators=700, min_samples_split=15, min_samples_leaf=1, max_features=auto, max_depth=20, total= 0.9s\n","[CV] n_estimators=700, min_samples_split=15, min_samples_leaf=1, max_features=auto, max_depth=20 \n","[CV] n_estimators=700, min_samples_split=15, min_samples_leaf=1, max_features=auto, max_depth=20, total= 0.9s\n","[CV] n_estimators=700, min_samples_split=15, min_samples_leaf=1, max_features=auto, max_depth=20 \n","[CV] n_estimators=700, min_samples_split=15, min_samples_leaf=1, max_features=auto, max_depth=20, total= 1.0s\n","[CV] n_estimators=700, min_samples_split=15, min_samples_leaf=1, max_features=auto, max_depth=20 \n","[CV] n_estimators=700, min_samples_split=15, min_samples_leaf=1, max_features=auto, max_depth=20, total= 0.9s\n","[CV] n_estimators=700, min_samples_split=15, min_samples_leaf=1, max_features=auto, max_depth=20 \n","[CV] n_estimators=700, min_samples_split=15, min_samples_leaf=1, max_features=auto, max_depth=20, total= 1.0s\n"],"name":"stdout"},{"output_type":"stream","text":["[Parallel(n_jobs=1)]: Done 50 out of 50 | elapsed: 46.4s finished\n"],"name":"stderr"},{"output_type":"execute_result","data":{"text/plain":["RandomizedSearchCV(cv=5, error_score=nan,\n"," estimator=RandomForestRegressor(bootstrap=True,\n"," ccp_alpha=0.0,\n"," criterion='mse',\n"," max_depth=None,\n"," max_features='auto',\n"," max_leaf_nodes=None,\n"," max_samples=None,\n"," min_impurity_decrease=0.0,\n"," min_impurity_split=None,\n"," min_samples_leaf=1,\n"," min_samples_split=2,\n"," min_weight_fraction_leaf=0.0,\n"," n_estimators=100,\n"," n_jobs=None, oob_score=Fals...\n"," iid='deprecated', n_iter=10, n_jobs=1,\n"," param_distributions={'max_depth': [5, 10, 15, 20, 25, 30],\n"," 'max_features': ['auto', 'sqrt'],\n"," 'min_samples_leaf': [1, 2, 5, 10],\n"," 'min_samples_split': [2, 5, 10, 15,\n"," 100],\n"," 'n_estimators': [100, 200, 300, 400,\n"," 500, 600, 700, 800,\n"," 900, 1000, 1100,\n"," 1200]},\n"," pre_dispatch='2*n_jobs', random_state=42, refit=True,\n"," return_train_score=False, scoring='neg_mean_squared_error',\n"," verbose=2)"]},"metadata":{},"execution_count":74}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"le_cqa8qpOoF","executionInfo":{"status":"ok","timestamp":1630338392912,"user_tz":-330,"elapsed":384,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"6ade8f6e-e544-496c-91f5-0439cd23abe9"},"source":["rf_regressor.best_params_"],"execution_count":75,"outputs":[{"output_type":"execute_result","data":{"text/plain":["{'max_depth': 20,\n"," 'max_features': 'auto',\n"," 'min_samples_leaf': 1,\n"," 'min_samples_split': 15,\n"," 'n_estimators': 700}"]},"metadata":{},"execution_count":75}]},{"cell_type":"markdown","metadata":{"id":"ROCoB_F2vn-B"},"source":["# Testing the model"]},{"cell_type":"code","metadata":{"id":"_yzXHFKvpOr3","executionInfo":{"status":"ok","timestamp":1630338467638,"user_tz":-330,"elapsed":374,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["y_pred = rf_regressor.predict(X_test)"],"execution_count":76,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":283},"id":"roBkUoN6pOux","executionInfo":{"status":"ok","timestamp":1630338485520,"user_tz":-330,"elapsed":444,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"aaa9f72e-4a95-4081-8b2c-d08f56e35fd5"},"source":["plt.scatter(y_test, y_pred)"],"execution_count":77,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{},"execution_count":77},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["

"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","metadata":{"id":"McjuheXbpOx_","executionInfo":{"status":"ok","timestamp":1630338534910,"user_tz":-330,"elapsed":384,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}}},"source":["finaldf = pd.DataFrame({\"Actual\":y_test, \"Predicted\":y_pred})"],"execution_count":78,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":423},"id":"lrQ2dilppO1s","executionInfo":{"status":"ok","timestamp":1630338539897,"user_tz":-330,"elapsed":431,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"0ca67609-ce39-4e02-d7f0-942acb0550fa"},"source":["finaldf"],"execution_count":79,"outputs":[{"output_type":"execute_result","data":{"text/html":["

	Actual	Predicted
223	8.25	6.969402
150	0.50	0.514604
226	5.25	4.949078
296	9.50	8.317201
52	18.00	12.373524
...	...	...
137	0.65	0.407014
227	2.55	2.758696
26	4.15	3.631988
106	1.35	2.505291
92	3.51	4.707823

\n","

61 rows × 2 columns

\n","

"],"text/plain":[" Actual Predicted\n","223 8.25 6.969402\n","150 0.50 0.514604\n","226 5.25 4.949078\n","296 9.50 8.317201\n","52 18.00 12.373524\n",".. ... ...\n","137 0.65 0.407014\n","227 2.55 2.758696\n","26 4.15 3.631988\n","106 1.35 2.505291\n","92 3.51 4.707823\n","\n","[61 rows x 2 columns]"]},"metadata":{},"execution_count":79}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":287},"id":"aqK5m9yypO4J","executionInfo":{"status":"ok","timestamp":1630338577061,"user_tz":-330,"elapsed":7,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"42cf9033-5b19-4a76-b573-305cfe14df53"},"source":["sns.heatmap(finaldf.corr(), annot=True, cmap='Greens')"],"execution_count":80,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{},"execution_count":80},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["

"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"HkjQ6scywNFZ"},"source":["# Performance/Accuracy"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"HlukQ4_-pO9r","executionInfo":{"status":"ok","timestamp":1630338628094,"user_tz":-330,"elapsed":390,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"}},"outputId":"ef25506e-b87d-4e1f-8207-c1ebe077587d"},"source":["r2_score(y_test, y_pred)"],"execution_count":81,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.9237276552854906"]},"metadata":{},"execution_count":81}]}]}

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Day53_Random Forest (Random Forest Regressor).ipynb

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