{"id":4060,"date":"2023-07-13T21:08:59","date_gmt":"2023-07-13T21:08:59","guid":{"rendered":"https:\/\/statorials.org\/my\/polynomial-regression-sklearn\/"},"modified":"2023-07-13T21:08:59","modified_gmt":"2023-07-13T21:08:59","slug":"polynomial-regression-sklearn","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/polynomial-regression-sklearn\/","title":{"rendered":"Scikit-learn \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d polynomial regression \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b"},"content":{"rendered":"

<\/p>\n

\n

Polynomial regression<\/a> \u101e\u100a\u103a \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a<\/a> \u101e\u100a\u103a linear \u1019\u101f\u102f\u1010\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u102b \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n

\u1024\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u101e\u100a\u103a \u1015\u102f\u1036\u1005\u1036\u101a\u1030\u101e\u100a\u103a-<\/span><\/p>\n

Y = \u03b2 0<\/sub> +<\/sup> \u03b2 1<\/sub> X + \u03b2 2<\/sub> X 2<\/sup> + \u2026 + \u03b2 h<\/sub><\/span><\/p>\n

h<\/em> \u101e\u100a\u103a polynomial \u104f “ \u1012\u102e\u1002\u101b\u102e” \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n

\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u101e\u100a\u103a sklearn \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d Python \u1010\u103d\u1004\u103a polynomial regression \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102f\u1036\u1000\u102d\u102f \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n

\u1021\u1006\u1004\u1037\u103a 1: \u1012\u1031\u1010\u102c\u1000\u102d\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b<\/strong><\/span><\/h2>\n

\u1015\u1011\u1019\u1026\u1038\u1005\u103d\u102c\u104a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1021\u102c\u1038 \u1011\u102d\u1014\u103a\u1038\u101e\u102d\u1019\u103a\u1038\u101b\u1014\u103a NumPy \u1021\u1001\u1004\u103a\u1038\u1021\u1000\u103b\u1004\u103a\u1038\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1000\u103c\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span> <\/p>\n

 import<\/span> matplotlib. pyplot<\/span> as<\/span> plt\nimport<\/span> numpy as<\/span> np\n\n#define predictor and response variables\n<\/span>x = np. array<\/span> ([2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12])\ny = np. array<\/span> ([18, 16, 15, 17, 20, 23, 25, 28, 31, 30, 29])\n\n#create scatterplot to visualize relationship between x and y\n<\/span>plt. scatter<\/span> (x,y)\n<\/strong><\/pre>\n
\"\"<\/p>\n
 scatterplot \u1019\u103e x \u1014\u103e\u1004\u1037\u103a y \u1021\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u1019\u103e\u102c linear \u1019\u101f\u102f\u1010\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101e\u102d\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n
 \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1019\u103b\u1009\u103a\u1038\u1019\u100a\u102e\u101e\u1031\u102c \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1016\u1019\u103a\u1038\u101a\u1030\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1019\u103b\u1009\u103a\u1038\u1016\u103c\u1031\u102c\u1004\u1037\u103a\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1016\u1019\u103a\u1038\u101a\u1030\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038 \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1000\u102d\u102f \u1012\u1031\u1010\u102c\u1014\u103e\u1004\u1037\u103a \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1021\u1031\u102c\u1004\u103a \u1015\u1031\u102b\u1004\u103a\u1038\u1005\u100a\u103a\u1038\u101b\u1014\u103a \u1005\u102d\u1010\u103a\u1000\u1030\u1038\u1000\u1031\u102c\u1004\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n
 \u1021\u1006\u1004\u1037\u103a 2- polynomial \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1000\u102d\u102f \u1021\u1036\u1000\u102d\u102f\u1000\u103a\u101c\u102f\u1015\u103a\u1015\u102b\u104b<\/strong><\/span><\/h2>\n
 \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1000\u102f\u1012\u103a\u101e\u100a\u103a \u1024\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1021\u1010\u103d\u1000\u103a \u1012\u102e\u1002\u101b\u102e 3 \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1000\u102d\u102f \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1005\u1031\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a sklearn \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a-<\/span><\/p>\n
 from<\/span> sklearn. preprocessing<\/span> import<\/span> PolynomialFeatures\nfrom<\/span> sklearn. linear_model<\/span> import<\/span> LinearRegression\n\n#specify degree of 3 for polynomial regression model\n#include bias=False means don't force y-intercept to equal zero<\/span>\npoly = PolynomialFeatures(degree= 3<\/span> , include_bias= False<\/span> )\n\n#reshape data to work properly with sklearn\n<\/span>poly_features = poly. fit_transform<\/span> ( x.reshape<\/span> (-1, 1))\n\n#fit polynomial regression model\n<\/span>poly_reg_model = LinearRegression()\npoly_reg_model. fit<\/span> (poly_features,y)\n\n#display model coefficients\n<\/span>print<\/span> (poly_reg_model. intercept_<\/span> , poly_reg_model. coef_<\/span> )\n\n33.62640037532282 [-11.83877127 2.25592957 -0.10889554]\n<\/strong><\/span><\/pre>\n
 \u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1021\u1010\u1014\u103a\u1038\u1010\u103d\u1004\u103a\u1015\u103c\u101e\u1011\u102c\u1038\u101e\u1031\u102c model coefficients \u1019\u103b\u102c\u1038\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1010\u1015\u103a\u1006\u1004\u103a\u1011\u102c\u1038\u101e\u1031\u102c polynomial regression equation \u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u101b\u1031\u1038\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a-<\/span><\/p>\n
 y = -0.109x 3<\/sup> + 2.256x 2<\/sup> \u2013 11.839x + 33.626<\/span><\/p>\n
 \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u104f\u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f\u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u104f\u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f\u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a \u1024\u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u1021\u102c\u1038\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n
 \u1025\u1015\u1019\u102c\u104a x \u101e\u100a\u103a 4 \u1016\u103c\u1005\u103a\u1015\u102b\u1000\u104a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1021\u1010\u103d\u1000\u103a \u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103e\u102c y \u101e\u100a\u103a 15.39 \u1016\u103c\u1005\u103a\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a\u104b<\/span><\/p>\n
 y = -0.109(4) 3<\/sup> + 2.256(4) 2<\/sup> \u2013 11.839(4) + 33.626= 15.39<\/span><\/p>\n
 \u1019\u103e\u1010\u103a\u1001\u103b\u1000\u103a<\/strong> – \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u101e\u1031\u102c\u1012\u102e\u1002\u101b\u102e\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a polynomial \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1005\u1031\u101b\u1014\u103a\u104a PolynomialFeatures()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u101b\u103e\u102d \u1012\u102e\u1002\u101b\u102e<\/strong> \u1021\u1004\u103c\u1004\u103a\u1038\u1021\u1001\u102f\u1036\u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1015\u102b\u104b<\/span><\/p>\n
 \u1021\u1006\u1004\u1037\u103a 3- polynomial \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1000\u102d\u102f \u1019\u103c\u1004\u103a\u101a\u1031\u102c\u1004\u103a\u1000\u103c\u100a\u1037\u103a\u1015\u102b\u104b<\/span><\/strong><\/h2>\n
 \u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1010\u103d\u1004\u103a\u104a \u1019\u1030\u101b\u1004\u103a\u1038\u1012\u1031\u1010\u102c\u1021\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u101e\u100a\u1037\u103a polynomial regression model \u1000\u102d\u102f \u1019\u103c\u1004\u103a\u101e\u102c\u1005\u1031\u101b\u1014\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c \u1000\u103c\u1036\u1005\u100a\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/span> <\/p>\n
 #use model to make predictions on response variable\n<\/span>y_predicted = poly_reg_model. predict<\/span> (poly_features)\n\n#create scatterplot of x vs. y\n<\/span>plt. scatter<\/span> (x,y)\n\n#add line to show fitted polynomial regression model\n<\/span>plt. plot<\/span> (x,y_predicted,color=' purple<\/span> ')\n<\/strong><\/span><\/pre>\n
\"\"<\/p>\n
 \u1019\u103e\u1010\u103a\u1001\u103b\u1000\u103a<\/strong> – sklearn PolynomialFeatures()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1021\u1010\u103d\u1000\u103a \u1005\u102c\u101b\u103d\u1000\u103a\u1005\u102c\u1010\u1019\u103a\u1038\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036\u1000\u102d\u102f \u1024\u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a<\/a> \u101b\u103e\u102c\u1016\u103d\u1031\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n
 \u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a\u1019\u103b\u102c\u1038<\/span><\/strong><\/span><\/h2>\n
 \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a sklearn \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1021\u1001\u103c\u102c\u1038\u1018\u102f\u1036\u1021\u101c\u102f\u1015\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u101e\u100a\u103a-<\/span><\/p>\n
sklearn \u1019\u103e regression coefficients \u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1011\u102f\u1010\u103a\u101a\u1030\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/a>
 sklearn \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1019\u103b\u103e\u1010\u101e\u1031\u102c\u1010\u102d\u1000\u103b\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038<\/a>
 Sklearn \u1010\u103d\u1004\u103a \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1001\u103d\u1032\u1001\u103c\u1004\u103a\u1038\u1021\u1005\u102e\u101b\u1004\u103a\u1001\u1036\u1005\u102c\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"
Polynomial regression \u101e\u100a\u103a \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a \u101e\u100a\u103a linear \u1019\u101f\u102f\u1010\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u102b \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u101e\u100a\u103a \u1015\u102f\u1036\u1005\u1036\u101a\u1030\u101e\u100a\u103a- Y = \u03b2 0 + \u03b2 1 X + \u03b2 2 X 2 + \u2026 + \u03b2 h h \u101e\u100a\u103a polynomial \u104f “ \u1012\u102e\u1002\u101b\u102e” \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u101e\u100a\u103a sklearn \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d Python \u1010\u103d\u1004\u103a polynomial regression \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102f\u1036\u1000\u102d\u102f \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1021\u1006\u1004\u1037\u103a 1: \u1012\u1031\u1010\u102c\u1000\u102d\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b \u1015\u1011\u1019\u1026\u1038\u1005\u103d\u102c\u104a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1021\u102c\u1038 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"yoast_head":"\nScikit-Learn - Statology \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d Polynomial Regression \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Python \u1010\u103d\u1004\u103a sklearn \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d polynomial regression \u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/my\/polynomial-regression-sklearn\/\" \/>\n<meta property=\"og:locale\" content=\"my_MM\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Scikit-Learn - Statology \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d Polynomial Regression \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b\" \/>\n<meta property=\"og:description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Python \u1010\u103d\u1004\u103a sklearn \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d polynomial regression \u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/my\/polynomial-regression-sklearn\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-13T21:08:59+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polysk1.png\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/my\/polynomial-regression-sklearn\/\",\"url\":\"https:\/\/statorials.org\/my\/polynomial-regression-sklearn\/\",\"name\":\"Scikit-Learn - Statology \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d Polynomial Regression \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/my\/#website\"},\"datePublished\":\"2023-07-13T21:08:59+00:00\",\"dateModified\":\"2023-07-13T21:08:59+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/my\/#\/schema\/person\/e47470981684a202f7ed4c0cb1e10097\"},\"description\":\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Python \u1010\u103d\u1004\u103a sklearn \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d polynomial regression \u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/my\/polynomial-regression-sklearn\/#breadcrumb\"},\"inLanguage\":\"my-MM\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/my\/polynomial-regression-sklearn\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/my\/polynomial-regression-sklearn\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u1021\u102d\u1019\u103a\",\"item\":\"https:\/\/statorials.org\/my\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Scikit-learn \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d polynomial regression \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/my\/#website\",\"url\":\"https:\/\/statorials.org\/my\/\",\"name\":\"Statorials\",\"description\":\"\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1021\u101b\u100a\u103a\u1021\u1001\u103b\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u1004\u1037\u103a\u101c\u1019\u103a\u1038\u100a\u103d\u103e\u1014\u103a\u1001\u103b\u1000\u103a\u104b\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/my\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"my-MM\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/my\/#\/schema\/person\/e47470981684a202f7ed4c0cb1e10097\",\"name\":\"Benjamin Anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"my-MM\",\"@id\":\"https:\/\/statorials.org\/my\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/my\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/my\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin Anderson\"},\"description\":\"\u1019\u1004\u103a\u1039\u1002\u101c\u102c\u1015\u102b\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u101e\u100a\u103a \u1021\u1004\u103c\u102d\u1019\u103a\u1038\u1005\u102c\u1038 \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038 \u1015\u102b\u1019\u1031\u102c\u1000\u1039\u1001 \u1018\u1004\u103a\u1002\u103b\u1019\u1004\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u101e\u102e\u1038\u101e\u1014\u1037\u103a Statorials \u1006\u101b\u102c\u1021\u1016\u103c\u1005\u103a \u101c\u103e\u100a\u1037\u103a\u1015\u1010\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1014\u101a\u103a\u1015\u101a\u103a\u1010\u103d\u1004\u103a \u1000\u103b\u101a\u103a\u1015\u103c\u1014\u1037\u103a\u101e\u1031\u102c\u1021\u1010\u103d\u1031\u1037\u1021\u1000\u103c\u102f\u1036\u1014\u103e\u1004\u1037\u103a \u1000\u103b\u103d\u1019\u103a\u1038\u1000\u103b\u1004\u103a\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a\u1021\u1010\u1030\u104a Statorials \u1019\u103e\u1010\u1005\u103a\u1006\u1004\u1037\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1001\u103d\u1014\u103a\u1021\u102c\u1038\u1016\u103c\u1005\u103a\u1005\u1031\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u104f\u1021\u101e\u102d\u1015\u100a\u102c\u1000\u102d\u102f \u1019\u103b\u103e\u101d\u1031\u101c\u102d\u102f\u1015\u102b\u101e\u100a\u103a\u104b \u1015\u102d\u102f\u101e\u102d\u1010\u101a\u103a\u104b\",\"sameAs\":[\"https:\/\/statorials.org\/my\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Scikit-Learn - Statology \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d Polynomial Regression \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b","description":"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Python \u1010\u103d\u1004\u103a sklearn \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d polynomial regression \u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/my\/polynomial-regression-sklearn\/","og_locale":"my_MM","og_type":"article","og_title":"Scikit-Learn - Statology \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d Polynomial Regression \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b","og_description":"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Python \u1010\u103d\u1004\u103a sklearn \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d polynomial regression \u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b","og_url":"https:\/\/statorials.org\/my\/polynomial-regression-sklearn\/","og_site_name":"Statorials","article_published_time":"2023-07-13T21:08:59+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polysk1.png"}],"author":"Benjamin Anderson","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Benjamin Anderson","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/my\/polynomial-regression-sklearn\/","url":"https:\/\/statorials.org\/my\/polynomial-regression-sklearn\/","name":"Scikit-Learn - Statology \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d Polynomial Regression \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b","isPartOf":{"@id":"https:\/\/statorials.org\/my\/#website"},"datePublished":"2023-07-13T21:08:59+00:00","dateModified":"2023-07-13T21:08:59+00:00","author":{"@id":"https:\/\/statorials.org\/my\/#\/schema\/person\/e47470981684a202f7ed4c0cb1e10097"},"description":"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Python \u1010\u103d\u1004\u103a sklearn \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d polynomial regression \u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b","breadcrumb":{"@id":"https:\/\/statorials.org\/my\/polynomial-regression-sklearn\/#breadcrumb"},"inLanguage":"my-MM","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/my\/polynomial-regression-sklearn\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/my\/polynomial-regression-sklearn\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u1021\u102d\u1019\u103a","item":"https:\/\/statorials.org\/my\/"},{"@type":"ListItem","position":2,"name":"Scikit-learn \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d polynomial regression \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b"}]},{"@type":"WebSite","@id":"https:\/\/statorials.org\/my\/#website","url":"https:\/\/statorials.org\/my\/","name":"Statorials","description":"\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1021\u101b\u100a\u103a\u1021\u1001\u103b\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u1004\u1037\u103a\u101c\u1019\u103a\u1038\u100a\u103d\u103e\u1014\u103a\u1001\u103b\u1000\u103a\u104b","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/statorials.org\/my\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"my-MM"},{"@type":"Person","@id":"https:\/\/statorials.org\/my\/#\/schema\/person\/e47470981684a202f7ed4c0cb1e10097","name":"Benjamin Anderson","image":{"@type":"ImageObject","inLanguage":"my-MM","@id":"https:\/\/statorials.org\/my\/#\/schema\/person\/image\/","url":"https:\/\/statorials.org\/my\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg","contentUrl":"https:\/\/statorials.org\/my\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg","caption":"Benjamin Anderson"},"description":"\u1019\u1004\u103a\u1039\u1002\u101c\u102c\u1015\u102b\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u101e\u100a\u103a \u1021\u1004\u103c\u102d\u1019\u103a\u1038\u1005\u102c\u1038 \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038 \u1015\u102b\u1019\u1031\u102c\u1000\u1039\u1001 \u1018\u1004\u103a\u1002\u103b\u1019\u1004\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u101e\u102e\u1038\u101e\u1014\u1037\u103a Statorials \u1006\u101b\u102c\u1021\u1016\u103c\u1005\u103a \u101c\u103e\u100a\u1037\u103a\u1015\u1010\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1014\u101a\u103a\u1015\u101a\u103a\u1010\u103d\u1004\u103a \u1000\u103b\u101a\u103a\u1015\u103c\u1014\u1037\u103a\u101e\u1031\u102c\u1021\u1010\u103d\u1031\u1037\u1021\u1000\u103c\u102f\u1036\u1014\u103e\u1004\u1037\u103a \u1000\u103b\u103d\u1019\u103a\u1038\u1000\u103b\u1004\u103a\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a\u1021\u1010\u1030\u104a Statorials \u1019\u103e\u1010\u1005\u103a\u1006\u1004\u1037\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1001\u103d\u1014\u103a\u1021\u102c\u1038\u1016\u103c\u1005\u103a\u1005\u1031\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u104f\u1021\u101e\u102d\u1015\u100a\u102c\u1000\u102d\u102f \u1019\u103b\u103e\u101d\u1031\u101c\u102d\u102f\u1015\u102b\u101e\u100a\u103a\u104b \u1015\u102d\u102f\u101e\u102d\u1010\u101a\u103a\u104b","sameAs":["https:\/\/statorials.org\/my"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/my\/wp-json\/wp\/v2\/posts\/4060"}],"collection":[{"href":"https:\/\/statorials.org\/my\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/my\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/my\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/my\/wp-json\/wp\/v2\/comments?post=4060"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/my\/wp-json\/wp\/v2\/posts\/4060\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/my\/wp-json\/wp\/v2\/media?parent=4060"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/my\/wp-json\/wp\/v2\/categories?post=4060"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/my\/wp-json\/wp\/v2\/tags?post=4060"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
 \u1002\u101b\u1015\u103a\u1019\u103e\u104a polynomial regression model \u101e\u100a\u103a overfitting<\/a> \u1019\u101b\u103e\u102d\u1018\u1032 data \u1000\u102d\u102f \u1000\u1031\u102c\u1004\u103a\u1038\u1019\u103d\u1014\u103a\u1005\u103d\u102c \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1015\u102f\u1036\u101b\u101e\u100a\u103a\u104b<\/span><\/p>\n