Polynomial regression<\/strong> \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a polynomial regression<\/strong> \u101e\u100a\u103a \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c variable X \u1014\u103e\u1004\u1037\u103a dependent variable Y \u1021\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u1000\u102d\u102f polynomial \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1005\u1036\u1014\u1019\u1030\u1014\u102c\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u101c\u1031\u1038\u1011\u1031\u102c\u1004\u1037\u103a\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\u1021\u1010\u103d\u1000\u103a \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u1019\u103e\u102c y=\u03b2 0<\/sub> +\u03b2 1<\/sub> x+\u03b2 2<\/sub> x 2<\/sup> +\u03b5 \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n Polynomial regression \u101e\u100a\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u101b\u1015\u103a\u1019\u103b\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u1037\u103a polynomial \u1019\u103b\u1009\u103a\u1038\u1000\u103d\u1031\u1038\u1019\u103b\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u1037\u103a \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1021\u101e\u102f\u1036\u1038\u101d\u1004\u103a\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1012\u1031\u1010\u102c\u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u104f \u1021\u1005\u1000\u103a\u1000\u103d\u1000\u103a\u1000\u103d\u1000\u103a\u1010\u103d\u1004\u103a parabola \u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u101b\u103e\u102d\u1014\u1031\u1015\u102b\u1000\u104a linear regression model \u1011\u1000\u103a quadratic regression model \u1000\u102d\u102f \u1010\u100a\u103a\u1006\u1031\u102c\u1000\u103a\u1001\u103c\u1004\u103a\u1038\u101e\u100a\u103a \u1015\u102d\u102f\u1000\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a\u104b \u1024\u1014\u100a\u103a\u1038\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a regression model equation \u101e\u100a\u103a data sample \u1014\u103e\u1004\u1037\u103a \u1015\u102d\u102f\u1021\u1006\u1004\u103a\u1015\u103c\u1031\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a\u104b<\/p>\n polynomial regression \u101e\u100a\u103a exponential regression \u1014\u103e\u1004\u1037\u103a logarithmic regression \u1010\u102d\u102f\u1037\u1000\u1032\u1037\u101e\u102d\u102f\u1037 linear nonlinear regression \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u1010\u102d\u1015\u103c\u102f\u1015\u102b\u104b <\/p>\n \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\u1021\u1010\u103d\u1000\u103a \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u1019\u103e\u102c y=\u03b2 0<\/sub> +\u03b2 1<\/sub> x+\u03b2 2<\/sub> x 2<\/sup> +\u03b2 3<\/sub> x 3<\/sup> \u2026+\u03b2 m<\/sub> x m<\/sup> +\u03b5 \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<\/p>\n \u101b\u103d\u103e\u1031-<\/p>\n dependent variable \u1016\u103c\u1005\u103a\u1015\u102b\u1010\u101a\u103a\u104b<\/li>\n \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u101e\u1031\u102c\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n polynomial regression equation \u104f \u1000\u102d\u1014\u103a\u1038\u101e\u1031\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/li>\n \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1004\u1037\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u101e\u1031\u102c \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n .<\/li>\n \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1021\u1019\u103e\u102c\u1038\u1021\u101a\u103d\u1004\u103a\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u1014\u1031\u101e\u1031\u102c\u104a \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u101e\u1010\u102d\u1015\u103c\u102f\u1019\u102d\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103e \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u103c\u102c\u1038 \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u104b<\/li>\n<\/ul>\n \u1012\u102e\u1010\u1031\u102c\u1037 \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u101b\u101b\u1004\u103a<\/p>\n<\/p>\n \u101c\u1031\u1037\u101c\u102c\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1021\u101b\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1019\u1000\u103a\u1011\u101b\u1005\u103a\u1015\u102f\u1036\u1005\u1036\u1016\u103c\u1004\u1037\u103a polynomial regression model \u1000\u102d\u102f \u1021\u1006\u102d\u102f\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/p>\n<\/p>\n \u1021\u1011\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1019\u1000\u103a\u1011\u101b\u1005\u103a\u1021\u101e\u102f\u1036\u1038\u1021\u1014\u103e\u102f\u1014\u103a\u1038\u1000\u102d\u102f \u1019\u1000\u103a\u1011\u101b\u1005\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u101e\u102d\u102f\u1037 \u1005\u102c\u101c\u102f\u1036\u1038\u1010\u1005\u103a\u101c\u102f\u1036\u1038\u1005\u102e \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1015\u103c\u1014\u103a\u101c\u100a\u103a\u101b\u1031\u1038\u101e\u102c\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/p>\n<\/p>\n \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038 \u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1005\u1036\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f<\/a> \u1000\u103b\u1004\u1037\u103a\u101e\u102f\u1036\u1038\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1015\u1031\u102b\u101c\u102enomial \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u104f \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103c\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c<\/strong> \u101e\u102d\u102f\u1037 \u101b\u1031\u102c\u1000\u103a\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/p>\n<\/p>\n \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a\u104a \u1024\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101c\u1000\u103a\u1016\u103c\u1004\u1037\u103a\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u101e\u100a\u103a \u1021\u101c\u103d\u1014\u103a\u1015\u1004\u103a\u1015\u1014\u103a\u1038\u1015\u103c\u102e\u1038 \u1021\u1001\u103b\u102d\u1014\u103a\u1000\u102f\u1014\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u101e\u1004\u103a\u101e\u100a\u103a polynomial regression model \u1000\u102d\u102f\u1015\u102d\u102f\u1019\u102d\u102f\u1019\u103c\u1014\u103a\u1006\u1014\u103a\u1005\u103d\u102c\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1005\u1031\u101e\u100a\u1037\u103a\u1000\u103d\u1014\u103a\u1015\u103c\u1030\u1010\u102c\u1006\u1031\u102c\u1037\u1016\u103a\u101d\u1032 (Minitab \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a Excel \u1000\u1032\u1037\u101e\u102d\u102f\u1037) \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a \u1015\u102d\u102f\u104d\u1021\u1006\u1004\u103a\u1015\u103c\u1031\u1015\u102b\u101e\u100a\u103a\u104b <\/p>\n \u101a\u1001\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1019\u103b\u102c\u1038\u1005\u103d\u102c\u101e\u1031\u102c \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u104f \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1001\u103b\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1000\u102d\u102f \u101e\u102d\u101b\u103e\u102d\u1015\u103c\u102e\u1038 \u101e\u1018\u1031\u102c\u1010\u101b\u102c\u1038\u1000\u102d\u102f \u1021\u1015\u103c\u100a\u1037\u103a\u1021\u101d\u1014\u102c\u1038\u101c\u100a\u103a\u101b\u1014\u103a \u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1018\u101d\u1025\u1015\u1019\u102c\u1000\u102d\u102f \u1000\u103c\u100a\u1037\u103a\u1000\u103c\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/p>\n \u1015\u1011\u1019\u1026\u1038\u1005\u103d\u102c\u104a \u1012\u1031\u1010\u102c\u1002\u101b\u1015\u103a\u1010\u103d\u1004\u103a \u1015\u1031\u102b\u101c\u102e\u1021\u1019\u100a\u103a\u1019\u103b\u1009\u103a\u1038\u1000\u103d\u1031\u1038\u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c\u1021\u1001\u102b\u1010\u103d\u1004\u103a \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 \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101e\u1004\u1037\u103a\u101e\u100a\u103a\u101f\u102f \u1019\u103e\u1010\u103a\u101e\u102c\u1038\u1011\u102c\u1038\u101e\u1004\u1037\u103a\u101e\u100a\u103a\u104b \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a dotplot \u101e\u100a\u103a \u1000\u102f\u1017\u1019\u103b\u1009\u103a\u1038\u1015\u102f\u1036\u1005\u1036\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1010\u1010\u102d\u101a\u1012\u102e\u1002\u101b\u102e polynomial regression \u1015\u102f\u1036\u1005\u1036\u1000\u102d\u102f \u1010\u100a\u103a\u1006\u1031\u102c\u1000\u103a\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u101e\u100a\u103a\u104b<\/p>\n \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1015\u102f\u1036\u1010\u103d\u1004\u103a \u101e\u1004\u103a\u1019\u103c\u1004\u103a\u101b\u101e\u100a\u1037\u103a\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f\u1012\u1031\u1010\u102c\u104f \u1021\u1005\u1000\u103a\u1001\u103b\u1000\u103d\u1000\u103a\u101e\u100a\u103a \u101c\u1031\u1038\u1011\u1031\u102c\u1004\u1037\u103a\u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u101b\u103e\u102d\u1015\u103c\u102e\u1038\u104a \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c variable \u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u102d\u102f\u1038\u101c\u102c\u101e\u100a\u103a\u1014\u103e\u1004\u1037\u103a\u1021\u1019\u103b\u103e \u1019\u103e\u102e\u1001\u102d\u102f\u101e\u1031\u102c\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101e\u100a\u103a \u1015\u102d\u102f\u1019\u102d\u102f\u101c\u103b\u1004\u103a\u1019\u103c\u1014\u103a\u1005\u103d\u102c\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u101c\u102c\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u1000\u102d\u1005\u1039\u1005\u1010\u103d\u1004\u103a\u104a linear regression model \u1000\u102d\u102f\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u1032\u1037\u1015\u103c\u102e\u1038\u104a \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u1019\u103c\u1004\u103a\u101b\u101e\u100a\u1037\u103a\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1021\u1019\u103e\u1010\u103a\u1019\u103b\u102c\u1038\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u1014\u103e\u1004\u1037\u103a \u1019\u103b\u1009\u103a\u1038\u104f\u1021\u1011\u1000\u103a\u1010\u103d\u1004\u103a\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1019\u103b\u1009\u103a\u1038\u1021\u1031\u102c\u1000\u103a\u101b\u103e\u102d \u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1010\u103d\u1004\u103a \u1021\u1019\u103e\u1010\u103a\u1019\u103b\u102c\u1038 \u1000\u1031\u102c\u1004\u103a\u1038\u1005\u103d\u102c\u1019\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u104b <\/p>\n \u1021\u1001\u103c\u102c\u1038\u1010\u1005\u103a\u1016\u1000\u103a\u1010\u103d\u1004\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u101c\u1031\u1038\u1011\u1031\u102c\u1004\u1037\u103a\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 \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u1000\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1015\u102f\u1036\u1010\u103d\u1004\u103a\u1019\u103c\u1004\u103a\u101b\u101e\u100a\u1037\u103a\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1014\u1019\u1030\u1014\u102c\u1012\u1031\u1010\u102c\u1014\u103e\u1004\u1037\u103a \u1015\u102d\u102f\u1019\u102d\u102f\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u101e\u100a\u103a\u104b <\/p>\n \u1011\u102d\u102f\u1037\u1021\u1015\u103c\u1004\u103a\u104a polynomial regression model \u1000\u102d\u102f \u1010\u102e\u1011\u103d\u1004\u103a\u101e\u1031\u102c\u1021\u1001\u102b\u104a \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u104f coefficient \u101e\u100a\u103a 86.80% \u1019\u103e 94.05% \u101e\u102d\u102f\u1037 \u101e\u102d\u101e\u102d\u101e\u102c\u101e\u102c \u1010\u102d\u102f\u1038\u1010\u1000\u103a\u101c\u102c\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1021\u101e\u1005\u103a\u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1000\u102d\u102f \u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1015\u102d\u102f\u1000\u1031\u102c\u1004\u103a\u1038\u1021\u1031\u102c\u1004\u103a \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u101e\u100a\u103a\u104b<\/p>\n \u1021\u1001\u103c\u102c\u1038\u1010\u1005\u103a\u1016\u1000\u103a\u1010\u103d\u1004\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a polynomial regression \u1000\u102d\u102f\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u101e\u100a\u1037\u103a\u1014\u1031\u102c\u1000\u103a\u1011\u1015\u103a\u1021\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u103b\u1000\u103a\u1019\u103e\u102c \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u102f\u1036\u1016\u1031\u102c\u103a\u1001\u103c\u1004\u103a\u1038\u1015\u1004\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c\u1002\u101b\u1015\u103a\u101e\u100a\u103a parabola \u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1021\u1001\u103c\u102c\u1038\u1015\u102d\u102f\u101c\u102e\u1021\u1019\u100a\u103a\u1010\u1005\u103a\u1019\u103b\u102d\u102f\u1038\u104f \u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u101b\u103e\u102d\u1015\u102b\u1000\u104a \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\u101e\u100a\u103a \u101c\u1031\u1037\u101c\u102c\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u1015\u102d\u102f\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1019\u100a\u103a\u1019\u103e\u102c \u101e\u1031\u1001\u103b\u102c\u1015\u102b\u101e\u100a\u103a\u104b <\/p>\n \u1021\u1013\u102d\u1000\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a nonlinear regression \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u101e\u102f\u1036\u1038\u1019\u103b\u102d\u102f\u1038\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/p>\n \u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1010\u103d\u1004\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \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\u101f\u1030\u101e\u100a\u103a \u1019\u100a\u103a\u1000\u1032\u1037\u101e\u102d\u102f\u1037 \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1021\u1015\u103c\u1004\u103a\u104a polynomial regression \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u1037\u103a \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b polynomial regression \u1006\u102d\u102f\u1010\u102c \u1018\u102c\u101c\u1032\u104b Polynomial regression \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a polynomial regression \u101e\u100a\u103a \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c variable X \u1014\u103e\u1004\u1037\u103a dependent variable Y \u1021\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u1000\u102d\u102f polynomial \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1005\u1036\u1014\u1019\u1030\u1014\u102c\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u101c\u1031\u1038\u1011\u1031\u102c\u1004\u1037\u103a\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\u1021\u1010\u103d\u1000\u103a \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u1019\u103e\u102c y=\u03b2 0 +\u03b2 1 x+\u03b2 2 x 2 +\u03b5 \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b Polynomial regression \u101e\u100a\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u101b\u1015\u103a\u1019\u103b\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u1037\u103a […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"yoast_head":"\n<\/span> Polynomial Regression \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c<\/span><\/h2>\n
![\"y=\\beta_0+\\beta_1](\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9d195b19a3d6f10a8eb73b13cd90420c_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n\n
![\"y\"](\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-38461fc041e953482219abf5d4cce1cb_l3.png\" "\\"Rendered")
<\/p>\n![\"x\"](\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7e5fbfa0bbbd9f3051cd156a0f1b5e31_l3.png\" "\\"Rendered")
<\/p>\n![\"\\beta_0\"](\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c5ba513cc7e504bc674f76afa70a3442_l3.png\" "\\"Rendered")
<\/p>\n![\"\\beta_i\"](\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ff540c55c6ee8f10a1dab8e2422947ab_l3.png\" "\\"Rendered")
<\/p>\n![\"x^i\"](\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c6fd71de48bfaa9a0e22d2d633ca6796_l3.png\" "\\"Rendered")
<\/p>\n![\"\\bm{\\varepsilon}\"](\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-29b8f7fac5f2df4b101dff63e95516c5_l3.png\" "\\"Rendered")
<\/p>\n![\"n\"](\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" "\\"Rendered")
<\/p>\n![\"\\begin{pmatrix}y_1\\\\y_2\\\\y_3\\\\\\vdots\\\\y_n\\end{pmatrix}=\\begin{pmatrix}1&x_1&x_1^2&\\dots&x_1^m\\\\1&x_2&x_2^2&\\dots&x_2^m\\\\1&x_3&x_3^2&\\dots&x_3^m\\\\](\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f29ae985155878617f11afa5f37addef_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"Y=X\\beta+\\varepsilon\"](\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7614ddbb78ced2e2b8b6c7642d9969c3_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\widehat{\\beta}=\\left(X^tX\\right)^{-1}X^tY\"](\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-b6ef097cee722e7355fa4eb77b7ea3e5_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/span> polynomial regression model \u104f \u1025\u1015\u1019\u102c<\/span><\/h2>\n
![\"\"](\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/rpol-faux.png\")
<\/figure>\n![\"polynomial](\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exemple-de-regression-polynomiale.png\")
<\/figure>\n<\/span> \u1021\u1001\u103c\u102c\u1038\u101c\u102d\u102f\u1004\u103a\u1038\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1019\u103b\u102c\u1038<\/span><\/h2>\n
\n
\u27a4-<\/span> Exponential Regression<\/a> \u1000\u102d\u102f\u1000\u103c\u100a\u1037\u103a\u1015\u102b\u104b<\/strong><\/div>\n","protected":false},"excerpt":{"rendered":"