{"id":1172,"date":"2023-07-27T10:03:32","date_gmt":"2023-07-27T10:03:32","guid":{"rendered":"https:\/\/statorials.org\/my\/r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-cross-validation-%e1%80%80%e1%80%ad%e1%80%af-%e1%80%81%e1%80%bb%e1%80%94%e1%80%ba%e1%80%91%e1%80%ac%e1%80%b8%e1%80%95%e1%80%ab%e1%81%8b\/"},"modified":"2023-07-27T10:03:32","modified_gmt":"2023-07-27T10:03:32","slug":"r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-cross-validation-%e1%80%80%e1%80%ad%e1%80%af-%e1%80%81%e1%80%bb%e1%80%94%e1%80%ba%e1%80%91%e1%80%ac%e1%80%b8%e1%80%95%e1%80%ab%e1%81%8b","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-cross-validation-%e1%80%80%e1%80%ad%e1%80%af-%e1%80%81%e1%80%bb%e1%80%94%e1%80%ba%e1%80%91%e1%80%ac%e1%80%b8%e1%80%95%e1%80%ab%e1%81%8b\/","title":{"rendered":"R \u1010\u103d\u1004\u103a \u1010\u1005\u103a\u1000\u103c\u102d\u1019\u103a-\u1021\u1011\u103d\u1000\u103a \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a\u1021\u1010\u100a\u103a\u1015\u103c\u102f\u1001\u103b\u1000\u103a \u1001\u103b\u1014\u103a\u1011\u102c\u1038\u1001\u1032\u1037\u1015\u102b (\u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1015\u1031\u102b\u103a\u101b\u103e\u102d \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u104f\u1005\u103d\u1019\u103a\u1038\u1006\u1031\u102c\u1004\u103a\u101b\u100a\u103a\u1000\u102d\u102f \u1021\u1000\u1032\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103e\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101e\u1031\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u101c\u1031\u1037\u101c\u102c\u1011\u102c\u1038\u101e\u1031\u102c\u1012\u1031\u1010\u102c\u1014\u103e\u1004\u1037\u103a \u1019\u100a\u103a\u1019\u103b\u103e\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1000\u1032\u1037\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1021\u101e\u102f\u1036\u1038\u1019\u103b\u102c\u1038\u101e\u1031\u102c\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1000\u102d\u102f <a href=\"https:\/\/statorials.org\/my\/\u1010\u1005\u103a\u1001\u102f\u1010\u100a\u103a\u1038\u101e\u1031\u102c-cross-validation-\u1011\u102c\u1038\u1001\u1032\u1037\u1015\u102b\u104b\/\" target=\"_blank\" rel=\"noopener noreferrer\">Leave-One-Out Cross-Validation (LOOCV)<\/a> \u101f\u102f\u1001\u1031\u102b\u103a\u101e\u100a\u103a\u104a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u101b\u1031\u1038\u1021\u1005\u102f\u104f \u1010\u1005\u103a\u1005\u102d\u1010\u103a\u1010\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038\u1021\u1016\u103c\u1005\u103a \u1019\u103e\u1010\u103a\u101e\u102c\u1038\u1019\u103e\u102f\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1012\u1031\u1010\u102c\u1021\u1005\u102f\u1036\u1000\u102d\u102f \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u101b\u1031\u1038\u1021\u1005\u102f\u1036\u1014\u103e\u1004\u1037\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1021\u1016\u103c\u1005\u103a \u1001\u103d\u1032\u101c\u102d\u102f\u1000\u103a\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1019\u103e\u102f\u1021\u1005\u102f\u1036\u1019\u103e\u1012\u1031\u1010\u102c\u1000\u102d\u102f\u101e\u102c\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103e\u1016\u101a\u103a\u1011\u102f\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u1019\u103e\u102f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u1014\u103a\u1014\u103e\u1004\u1037\u103a \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1021\u1019\u103e\u102c\u1038 (MSE) \u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>4.<\/strong> \u1024\u101c\u102f\u1015\u103a\u1004\u1014\u103a\u1038\u1005\u1009\u103a <em>n<\/em> \u1021\u1000\u103c\u102d\u1019\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u103c\u1014\u103a\u101c\u102f\u1015\u103a\u1015\u102b\u104b \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032 MSE \u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f MSE \u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1016\u103c\u1005\u103a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">R \u1010\u103d\u1004\u103a LOOCV \u1000\u102d\u102f run \u101b\u1014\u103a \u1021\u101c\u103d\u101a\u103a\u1000\u1030\u1006\u102f\u1036\u1038\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103e\u102c R \u101b\u103e\u102d <strong>caret<\/strong> \u1005\u102c\u1000\u103c\u100a\u1037\u103a\u1010\u102d\u102f\u1000\u103a\u1019\u103e <a href=\"https:\/\/www.rdocumentation.org\/packages\/caret\/versions\/6.0-86\/topics\/trainControl\" target=\"_blank\" rel=\"noopener noreferrer\">trainControl()<\/a> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a R \u1010\u103d\u1004\u103a\u1015\u1031\u1038\u1011\u102c\u1038\u101e\u100a\u1037\u103a\u1015\u102f\u1036\u1005\u1036\u1021\u1010\u103d\u1000\u103a LOOCV \u1000\u102d\u102f\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a \u1024\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1021\u1010\u102d\u102f\u1001\u103b\u102f\u1036\u1038 \u1025\u1015\u1019\u102c\u1015\u1031\u1038\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c- R \u1010\u103d\u1004\u103a \u1010\u1005\u103a\u1016\u1000\u103a\u1010\u100a\u103a\u1038-\u1021\u1011\u103d\u1000\u103a Cross-Validation<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">R \u1010\u103d\u1004\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b dataset \u101b\u103e\u102d\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame<\/span>\ndf &lt;- data.frame(y=c(6, 8, 12, 14, 14, 15, 17, 22, 24, 23),\n                 x1=c(2, 5, 4, 3, 4, 6, 7, 5, 8, 9),\n                 x2=c(14, 12, 12, 13, 7, 8, 7, 4, 6, 5))\n\n<span style=\"color: #008080;\">#view data frame\n<\/span>df\n\ny x1 x2\n6 2 14\n8 5 12\n12 4 12\n14 3 13\n14 4 7\n15 6 8\n17 7 7\n22 5 4\n24 8 6\n23 9 5\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1000\u102f\u1012\u103a\u101e\u100a\u103a R \u101b\u103e\u102d \u1024\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1021\u1010\u103d\u1000\u103a <a href=\"https:\/\/statorials.org\/my\/multiple-linear-regression-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1015\u103c\u1014\u103a\u1006\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1010\u1005\u103a\u1001\u102f<\/a> \u1021\u102c\u1038 \u1019\u100a\u103a\u1000\u1032\u1037\u101e\u102d\u102f\u1037 \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1005\u1031\u101b\u1014\u103a\u1014\u103e\u1004\u1037\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u104f\u1005\u103d\u1019\u103a\u1038\u1006\u1031\u102c\u1004\u103a\u101b\u100a\u103a\u1000\u102d\u102f \u1021\u1000\u1032\u1016\u103c\u1010\u103a\u101b\u1014\u103a LOOCV \u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #993300;\">library<\/span> (caret)<\/span>\n\n#specify the cross-validation method<\/span>\nctrl &lt;- trainControl(method = \" <span style=\"color: #008000;\">LOOCV<\/span> \")\n\n<span style=\"color: #008080;\">#fit a regression model and use LOOCV to evaluate performance\n<\/span>model &lt;- train(y ~ x1 + x2, data = df, method = \" <span style=\"color: #008000;\">lm<\/span> \", trControl = ctrl)\n\n<span style=\"color: #008080;\">#view summary of LOOCV               \n<\/span>print(model)\n\nLinear Regression \n\n10 samples\n 2 predictors\n\nNo pre-processing\nResampling: Leave-One-Out Cross-Validation \nSummary of sample sizes: 9, 9, 9, 9, 9, 9, ... \nResampling results:\n\n  RMSE Rsquared MAE     \n  3.619456 0.6186766 3.146155\n\nTuning parameter 'intercept' was held constant at a value of TRUE\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1024\u101e\u100a\u103a\u1019\u103e\u102c \u101b\u101c\u1012\u103a\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\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1019\u1031\u102c\u103a\u1012\u101a\u103a \u1041\u1040 \u1001\u102f \u1010\u100a\u103a\u1006\u1031\u102c\u1000\u103a\u101b\u1014\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1014\u1019\u1030\u1014\u102c \u1041\u1040 \u1001\u102f\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u1032\u1037\u101e\u100a\u103a\u104b \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1010\u103d\u1004\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030 \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a \u1042 \u1001\u102f\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1000\u103c\u102d\u102f\u1010\u1004\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103c\u1004\u103a\u1038 \u1019\u101b\u103e\u102d\u1015\u102b\u104b \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1019\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1019\u102e \u1019\u100a\u103a\u101e\u100a\u1037\u103a\u1014\u100a\u103a\u1038\u1016\u103c\u1004\u1037\u103a\u1019 <a href=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a\u1012\u1031\u1010\u102c\u1000\u102d\u102f\u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1005\u103a\u1021\u1031\u102c\u1004\u103a\u1018\u101a\u103a\u101c\u102d\u102f\u101c\u102f\u1015\u103a\u1019\u101c\u1032\u104b\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1006\u102d\u102f \u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u102c<\/a> \u1019\u1011\u102c\u1038\u1015\u102b\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1014\u1019\u1030\u1014\u102c 10 \u1001\u102f\u1000\u102d\u102f \u1011\u102f\u1010\u103a\u101c\u102f\u1015\u103a\u101b\u1014\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u1032\u1037\u101e\u100a\u1037\u103a \u1015\u103c\u1014\u103a\u101c\u100a\u103a\u1014\u1019\u1030\u1014\u102c\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103e\u102c Leave-One-Out \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a\u1021\u1010\u100a\u103a\u1015\u103c\u102f\u1001\u103b\u1000\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1001\u1014\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a\u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038\u1019\u103e\u102c 9 \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>RMSE-<\/strong> root mean square \u1021\u1019\u103e\u102c\u1038\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103e\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101e\u1031\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a\u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038 \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u101e\u100a\u103a\u104b RMSE \u1014\u102d\u1019\u1037\u103a\u101c\u1031\u104a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a \u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u101c\u1031\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Rsquared-<\/strong> \u1024\u101e\u100a\u103a\u1019\u103e\u102c \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103e\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101e\u1031\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a \u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f \u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b R-squared \u1015\u102d\u102f\u1019\u103c\u1004\u1037\u103a\u101c\u1031\u104a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a \u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u101c\u1031\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MAE:<\/strong> \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e \u1015\u1000\u1010\u102d \u1021\u1019\u103e\u102c\u1038\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103e\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101e\u1031\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a \u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1021\u1000\u103c\u102c\u1038 \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1019\u1032\u1037 \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b MAE \u1014\u102d\u1019\u1037\u103a\u101c\u1031\u104a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a \u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u101c\u1031\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u101b\u101c\u1012\u103a\u1010\u103d\u1004\u103a \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f \u101e\u102f\u1036\u1038\u1001\u102f\u1019\u103e \u1010\u1005\u103a\u1001\u102f\u1005\u102e (RMSE\u104a R-squared \u1014\u103e\u1004\u1037\u103a MAE) \u101e\u100a\u103a \u1011\u102f\u1010\u103a\u101d\u1031\u1019\u1011\u102c\u1038\u101e\u1031\u102c \u1012\u1031\u1010\u102c\u1015\u1031\u102b\u103a\u1010\u103d\u1004\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u104f \u1005\u103d\u1019\u103a\u1038\u1006\u1031\u102c\u1004\u103a\u101b\u100a\u103a\u1000\u102d\u102f \u1021\u1000\u103c\u1036\u1025\u102c\u100f\u103a\u1015\u1031\u1038\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1010\u103d\u1004\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1000\u102d\u102f \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1024\u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a \u1016\u1031\u102c\u103a\u1015\u103c\u1011\u102c\u1038\u101e\u1031\u102c \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1019\u103e \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1019\u1000\u103a\u1011\u101b\u1005\u103a\u101e\u102f\u1036\u1038\u1001\u102f\u1000\u102d\u102f \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1000\u102c \u1019\u100a\u103a\u101e\u100a\u1037\u103a\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u101e\u100a\u103a \u1021\u1014\u102d\u1019\u1037\u103a\u1006\u102f\u1036\u1038 \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u1021\u1019\u103e\u102c\u1038\u1021\u101a\u103d\u1004\u103a\u1038\u1014\u103e\u102f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1011\u102f\u1010\u103a\u101c\u102f\u1015\u103a\u1015\u1031\u1038\u101e\u100a\u103a\u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u1000\u102c \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a \u1021\u1000\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1036\u1038 \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1015\u1031\u102b\u103a\u101b\u103e\u102d \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u104f\u1005\u103d\u1019\u103a\u1038\u1006\u1031\u102c\u1004\u103a\u101b\u100a\u103a\u1000\u102d\u102f \u1021\u1000\u1032\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103e\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101e\u1031\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u101c\u1031\u1037\u101c\u102c\u1011\u102c\u1038\u101e\u1031\u102c\u1012\u1031\u1010\u102c\u1014\u103e\u1004\u1037\u103a \u1019\u100a\u103a\u1019\u103b\u103e\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1024\u1000\u1032\u1037\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1021\u101e\u102f\u1036\u1038\u1019\u103b\u102c\u1038\u101e\u1031\u102c\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1000\u102d\u102f Leave-One-Out Cross-Validation (LOOCV) \u101f\u102f\u1001\u1031\u102b\u103a\u101e\u100a\u103a\u104a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a- 1. \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u101b\u1031\u1038\u1021\u1005\u102f\u104f \u1010\u1005\u103a\u1005\u102d\u1010\u103a\u1010\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038\u1021\u1016\u103c\u1005\u103a \u1019\u103e\u1010\u103a\u101e\u102c\u1038\u1019\u103e\u102f\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1012\u1031\u1010\u102c\u1021\u1005\u102f\u1036\u1000\u102d\u102f \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u101b\u1031\u1038\u1021\u1005\u102f\u1036\u1014\u103e\u1004\u1037\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1021\u1016\u103c\u1005\u103a \u1001\u103d\u1032\u101c\u102d\u102f\u1000\u103a\u1015\u102b\u104b 2. \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1019\u103e\u102f\u1021\u1005\u102f\u1036\u1019\u103e\u1012\u1031\u1010\u102c\u1000\u102d\u102f\u101e\u102c\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b 3. \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103e\u1016\u101a\u103a\u1011\u102f\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u1019\u103e\u102f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u1014\u103a\u1014\u103e\u1004\u1037\u103a \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1021\u1019\u103e\u102c\u1038 (MSE) \u1000\u102d\u102f 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