{"id":4507,"date":"2023-07-10T13:36:46","date_gmt":"2023-07-10T13:36:46","guid":{"rendered":"https:\/\/statorials.org\/my\/%e1%80%9b%e1%80%91%e1%80%ac%e1%80%b8%e1%80%91%e1%80%ad%e1%80%94%e1%80%ba%e1%80%b8-r\/"},"modified":"2023-07-10T13:36:46","modified_gmt":"2023-07-10T13:36:46","slug":"%e1%80%9b%e1%80%91%e1%80%ac%e1%80%b8%e1%80%91%e1%80%ad%e1%80%94%e1%80%ba%e1%80%b8-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/%e1%80%9b%e1%80%91%e1%80%ac%e1%80%b8%e1%80%91%e1%80%ad%e1%80%94%e1%80%ba%e1%80%b8-r\/","title":{"rendered":"A: \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u101b\u1031\u1038\u1018\u1031\u102c\u1004\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1011\u102d\u1014\u103a\u1038\u1001\u103b\u102f\u1015\u103a\u101b\u1014\u103a traincontrol \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b \u1019\u100a\u103a\u1019\u103b\u103e \u1000\u1031\u102c\u1004\u103a\u1038\u1019\u103d\u1014\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1021\u1000\u1032\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u104a \u101a\u1001\u1004\u103a\u1000 \u1019\u1019\u103c\u1004\u103a\u1016\u1030\u1038\u101e\u1031\u102c \u101c\u1031\u1037\u101c\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1015\u1031\u102b\u103a \u104e\u1004\u103a\u1038\u104f \u1005\u103d\u1019\u103a\u1038\u1006\u1031\u102c\u1004\u103a\u101b\u100a\u103a\u1000\u102d\u102f \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u104e\u1004\u103a\u1038\u1000\u102d\u102f\u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u101b\u1014\u103a\u1021\u101e\u102f\u1036\u1038\u1021\u1019\u103b\u102c\u1038\u1006\u102f\u1036\u1038\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1019\u103e\u102c <a href=\"https:\/\/statorials.org\/my\/k-cross-validation-\u1000\u102d\u102f-\u1001\u1031\u102b\u1000\u103a\u1015\u102b\u104b\/\" target=\"_blank\" rel=\"noopener noreferrer\">k-fold cross-validation \u1000\u102d\u102f<\/a> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038\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> \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103c\u1031 \u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038\u101b\u103e\u102d\u101e\u1031\u102c <em>k<\/em> \u1021\u102f\u1015\u103a\u1005\u102f\u1019\u103b\u102c\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a &#8220; folds&#8221;  \u1021\u1016\u103c\u1005\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1000\u103b\u1015\u1014\u103a\u1038\u1001\u103d\u1032\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> \u1021\u1011\u102d\u1014\u103a\u1038\u1021\u1001\u103b\u102f\u1015\u103a\u1021\u1016\u103c\u1005\u103a \u1001\u103c\u1036\u1019\u103b\u102c\u1038\u1011\u1032\u1019\u103e \u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u101b\u103d\u1031\u1038\u1015\u102b\u104b \u1014\u1019\u1030\u1014\u102c\u1000\u102d\u102f \u1000\u103b\u1014\u103a k-1 \u1001\u1031\u102b\u1000\u103a\u101e\u102d\u102f\u1037 \u1001\u103b\u102d\u1014\u103a\u100a\u103e\u102d\u1015\u102b\u104b \u1010\u1004\u103a\u1038\u1019\u102c\u1014\u1031\u101e\u1031\u102c \u1021\u1011\u1015\u103a\u1010\u103d\u1004\u103a \u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f MSE \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> \u1024\u101c\u102f\u1015\u103a\u1004\u1014\u103a\u1038\u1005\u1009\u103a <em>k<\/em> \u1021\u1000\u103c\u102d\u1019\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u101a\u103a\u1011\u102f\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u1021\u1016\u103c\u1005\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1021\u1005\u102f\u1036\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u103c\u102e\u1038\u1010\u102d\u102f\u1004\u103a\u1038\u104a \u1021\u1000\u103c\u102d\u1019\u103a\u1010\u102d\u102f\u1004\u103a\u1038 \u1015\u103c\u1014\u103a\u101c\u102f\u1015\u103a\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>4.<\/strong> \u1021\u101c\u102f\u1036\u1038\u1005\u102f\u1036\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f MSE \u1000\u102d\u102f <em>k<\/em> \u1005\u1019\u103a\u1038\u101e\u1015\u103a MSE \u1019\u103b\u102c\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 k-fold cross-validation \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\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 <strong>trainControl()<\/strong> \u1014\u103e\u1004\u1037\u103a <strong>train()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>trainControl()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u101b\u1031\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038 (\u1025\u1015\u1019\u102c- \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a \u1016\u103c\u1010\u103a\u1000\u103b\u1031\u102c\u103a\u1005\u1005\u103a\u1006\u1031\u1038\u1001\u103c\u1004\u103a\u1038 \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u104a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a \u1001\u1031\u102b\u1000\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a \u1005\u101e\u100a\u103a\u1016\u103c\u1004\u1037\u103a) \u1014\u103e\u1004\u1037\u103a <strong>train()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1012\u1031\u1010\u102c\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1014\u103e\u1004\u1037\u103a \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1005\u1031\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u101e\u100a\u103a\u104b .<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1025\u1015\u1019\u102c\u101e\u100a\u103a <strong>trainControl()<\/strong> \u1014\u103e\u1004\u1037\u103a <strong>train()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1010\u103d\u1004\u103a \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\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c- R \u1010\u103d\u1004\u103a trainControl() \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u100a\u103a\u1038<\/strong><\/span><\/h2>\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;\">\u101a\u1001\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a <strong>x1 \u1014\u103e\u1004\u1037\u103a x2 \u1000\u102d\u102f \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\u1019\u103b\u102c\u1038\u1021\u1016\u103c\u1005\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\u1021\u1016\u103c\u1005\u103a x1<\/strong> <strong>\u1014\u103e\u1004\u1037\u103a x2<\/strong> <strong>\u1000\u102d\u102f<\/strong> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1000\u102c <a href=\"https:\/\/statorials.org\/my\/multiple-linear-regression\/\" target=\"_blank\" rel=\"noopener\">\u1019\u103b\u102c\u1038\u1015\u103c\u102c\u1038\u101e\u1031\u102c\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036<\/a> \u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u101b\u1014\u103a <a href=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a-lm-\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\/\" target=\"_blank\" rel=\"noopener\">lm()<\/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\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;\">#fit multiple linear regression model to data<\/span>\nfit &lt;- lm(y ~ x1 + x2, data=df)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(fit)\n\nCall:\nlm(formula = y ~ x1 + x2, data = df)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-3.6650 -1.9228 -0.3684 1.2783 5.0208 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)  \n(Intercept) 21.2672 6.9927 3.041 0.0188 *\nx1 0.7803 0.6942 1.124 0.2981  \nx2 -1.1253 0.4251 -2.647 0.0331 *\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 3.093 on 7 degrees of freedom\nMultiple R-squared: 0.801, Adjusted R-squared: 0.7441 \nF-statistic: 14.09 on 2 and 7 DF, p-value: 0.003516\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1011\u103d\u1000\u103a\u101b\u103e\u102d \u1000\u102d\u1014\u103a\u1038\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 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101b\u1031\u1038\u101e\u102c\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>y = 21.2672 + 0.7803*(x <sub>1<\/sub> ) \u2013 1.1253(x <sub>2<\/sub> )<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1019\u1019\u103c\u1004\u103a\u101b\u101e\u1031\u102c <a href=\"https:\/\/statorials.org\/my\/\u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a-\u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u101c\u1031\u1037\u101c\u102c\u1001\u103c\u1004\u103a\u1038\u104b\/\" target=\"_blank\" rel=\"noopener\">\u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038<\/a> \u1010\u103d\u1004\u103a \u1024\u1015\u102f\u1036\u1005\u1036\u101e\u100a\u103a \u1019\u100a\u103a\u1019\u103b\u103e \u1000\u1031\u102c\u1004\u103a\u1038\u1019\u103d\u1014\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1005\u102d\u1010\u103a\u1000\u1030\u1038\u101b\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a k-fold cross-validation \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">5 \u1001\u1031\u102b\u1000\u103a ( <strong>number=5<\/strong> ) \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a k-fold cross-validation ( <strong>method=&#8221; cv&#8221; <\/strong> ) \u1000\u102d\u102f \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101b\u1014\u103a <strong>caret<\/strong> package \u104f <strong>trainControl()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u1010\u103d\u1004\u103a \u1016\u1031\u102c\u103a\u1015\u103c\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a k-fold cross-validation \u1000\u102d\u102f \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a \u1024 <strong>trainControl()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f <strong>\u101b\u1011\u102c\u1038()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u101e\u102d\u102f\u1037 \u1015\u1031\u1038\u1015\u102d\u102f\u1037\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: #008000;\">library<\/span> (caret)<\/span>\n\n#specify the cross-validation method<\/span>\nctrl &lt;- trainControl(method = \" <span style=\"color: #ff0000;\">cv<\/span> \", number = <span style=\"color: #008000;\">5<\/span> )\n\n<span style=\"color: #008080;\">#fit a regression model and use k-fold CV to evaluate performance\n<\/span>model &lt;- train(y ~ x1 + x2, data = df, method = \" <span style=\"color: #ff0000;\">lm<\/span> \", trControl = ctrl)\n\n<span style=\"color: #008080;\">#view summary of k-fold CV               \n<\/span><span style=\"color: #008000;\">print<\/span> (model)\n\nLinear Regression \n\n10 samples\n 2 predictors\n\nNo pre-processing\nResampling: Cross-Validated (5 fold) \nSummary of sample sizes: 8, 8, 8, 8, 8 \nResampling results:\n\n  RMSE Rsquared MAE     \n  3.612302 1 3.232153\n\nTuning parameter 'intercept' was held constant at a value of TRUE\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u101b\u101c\u1012\u103a\u1021\u1014\u1031\u1016\u103c\u1004\u1037\u103a \u1010\u1005\u103a\u1000\u103c\u102d\u1019\u103a\u101c\u103b\u103e\u1004\u103a \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 <strong>\u1048<\/strong> \u1001\u102f\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f <strong>\u1045<\/strong> \u1000\u103c\u102d\u1019\u103a \u1010\u1015\u103a\u1006\u1004\u103a\u1011\u102c\u1038\u101e\u100a\u103a\u1000\u102d\u102f \u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1000\u103c\u102d\u1019\u103a\u1010\u102d\u102f\u1004\u103a\u1038\u104a \u1011\u102d\u1014\u103a\u1038\u101e\u102d\u1019\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1005\u1030\u1038\u1005\u1019\u103a\u1038\u101c\u1031\u1037\u101c\u102c\u1019\u103e\u102f <strong>2 \u1001\u102f\u104f<\/strong> \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u1014\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u103c\u102e\u1038 \u1010\u1005\u103a\u1000\u103c\u102d\u1019\u103a\u1005\u102e\u1010\u103d\u1004\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b \u1019\u1000\u103a\u1011\u101b\u1005\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a-<\/span><\/p>\n<ul>\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>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\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;\">\u1021\u1005\u102d\u1010\u103a\u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1004\u102b\u1038\u1001\u102f\u1021\u1010\u103d\u1000\u103a RMSE \u1014\u103e\u1004\u1037\u103a MAE \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101b\u101c\u1012\u103a\u1010\u103d\u1004\u103a \u1016\u1031\u102c\u103a\u1015\u103c\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">RMSE: <strong>3.612302<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">MAE: <strong>3.232153<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1024\u1019\u1000\u103a\u1011\u101b\u1005\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1021\u101e\u1005\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\u1009\u102c\u100f\u103a\u1015\u1031\u1038\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 \u1019\u100a\u103a\u101e\u100a\u1037\u103a\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u101e\u100a\u103a \u1019\u1019\u103c\u1004\u103a\u101b\u101e\u1031\u102c\u1012\u1031\u1010\u102c\u1010\u103d\u1004\u103a \u1021\u1000\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1036\u1038\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1024\u1019\u1000\u103a\u1011\u101b\u1005\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a <a href=\"https:\/\/statorials.org\/my\/polynomial-regression-\u1000\u102d\u102f-\u1018\u101a\u103a\u1021\u1001\u103b\u102d\u1014\u103a\u1019\u103e\u102c-\u101e\u102f\u1036\u1038\u1019\u101c\u1032\u104b\/\" target=\"_blank\" rel=\"noopener\">polynomial \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1000\u102d\u102f<\/a> \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1005\u1031\u1014\u102d\u102f\u1004\u103a\u1015\u103c\u102e\u1038 RMSE \u1014\u103e\u1004\u1037\u103a MAE \u1019\u1000\u103a\u1011\u101b\u1005\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \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\u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1000\u103c\u100a\u1037\u103a\u101b\u1014\u103a K-fold \u1016\u103c\u1010\u103a\u1000\u103b\u1031\u102c\u103a\u1005\u1005\u103a\u1006\u1031\u1038\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1019\u103e\u1010\u103a\u1001\u103b\u1000\u103a #1-<\/strong> \u1024\u1025\u1015\u1019\u102c\u1010\u103d\u1004\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a k=5 folds \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038\u104a \u101e\u1004\u103a\u1021\u101c\u102d\u102f\u101b\u103e\u102d\u101e\u1031\u102c \u1001\u1031\u102b\u1000\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1000\u102d\u102f \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b \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 5 \u1014\u103e\u1004\u1037\u103a 10 \u101c\u103d\u103e\u102c\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u101c\u1031\u1037\u101b\u103e\u102d\u101e\u100a\u103a\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1005\u102d\u1010\u103a\u1001\u103b\u101b\u101e\u1031\u102c \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\u1037\u103a \u1021\u1000\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1036\u1038 \u1021\u1011\u1015\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u1000\u103a\u101e\u1031\u1015\u103c\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1019\u103e\u1010\u103a\u1001\u103b\u1000\u103a #2<\/strong> : <strong>trainControl()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103b\u1031\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1015\u103c\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1000\u102d\u102f \u101c\u1000\u103a\u1001\u1036\u1015\u102b\u101e\u100a\u103a\u104b \u1024\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 <a href=\"https:\/\/search.r-project.org\/CRAN\/refmans\/caret\/html\/trainControl.html\" target=\"_blank\" rel=\"noopener\">\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<h2> <span style=\"color: #000000;\"><strong>\u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\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 \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u101b\u1031\u1038\u1015\u102f\u1036\u1005\u1036\u1019\u103b\u102c\u1038\u1021\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1014\u1031\u102c\u1000\u103a\u1011\u1015\u103a\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u1031\u1038\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/k-cross-validation-\u1000\u102d\u102f-\u1001\u1031\u102b\u1000\u103a\u1015\u102b\u104b\/\" target=\"_blank\" rel=\"noopener\">K-Fold Cross-Validation \u1014\u102d\u1012\u102b\u1014\u103a\u1038<\/a><br \/> <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\">Leave-One-Out Cross-Validation \u1014\u102d\u1012\u102b\u1014\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/\u1005\u1000\u103a\u101e\u1004\u103a\u101a\u1030\u1019\u103e\u102f-\u1021\u101c\u103d\u1014\u103a\u1021\u1000\u103b\u103d\u1036\/\" target=\"_blank\" rel=\"noopener\">machine learning \u1010\u103d\u1004\u103a \u1019\u100a\u103a\u101e\u100a\u103a \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u101e\u1014\u100a\u103a\u1038\u104b<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b \u1019\u100a\u103a\u1019\u103b\u103e \u1000\u1031\u102c\u1004\u103a\u1038\u1019\u103d\u1014\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1021\u1000\u1032\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u104a \u101a\u1001\u1004\u103a\u1000 \u1019\u1019\u103c\u1004\u103a\u1016\u1030\u1038\u101e\u1031\u102c \u101c\u1031\u1037\u101c\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1015\u1031\u102b\u103a \u104e\u1004\u103a\u1038\u104f \u1005\u103d\u1019\u103a\u1038\u1006\u1031\u102c\u1004\u103a\u101b\u100a\u103a\u1000\u102d\u102f \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u104e\u1004\u103a\u1038\u1000\u102d\u102f\u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u101b\u1014\u103a\u1021\u101e\u102f\u1036\u1038\u1021\u1019\u103b\u102c\u1038\u1006\u102f\u1036\u1038\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1019\u103e\u102c k-fold cross-validation \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038\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. \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103c\u1031 \u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038\u101b\u103e\u102d\u101e\u1031\u102c k \u1021\u102f\u1015\u103a\u1005\u102f\u1019\u103b\u102c\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a &#8220; folds&#8221; \u1021\u1016\u103c\u1005\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1000\u103b\u1015\u1014\u103a\u1038\u1001\u103d\u1032\u1015\u102b\u104b 2. \u1021\u1011\u102d\u1014\u103a\u1038\u1021\u1001\u103b\u102f\u1015\u103a\u1021\u1016\u103c\u1005\u103a \u1001\u103c\u1036\u1019\u103b\u102c\u1038\u1011\u1032\u1019\u103e \u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u101b\u103d\u1031\u1038\u1015\u102b\u104b \u1014\u1019\u1030\u1014\u102c\u1000\u102d\u102f \u1000\u103b\u1014\u103a k-1 \u1001\u1031\u102b\u1000\u103a\u101e\u102d\u102f\u1037 \u1001\u103b\u102d\u1014\u103a\u100a\u103e\u102d\u1015\u102b\u104b \u1010\u1004\u103a\u1038\u1019\u102c\u1014\u1031\u101e\u1031\u102c \u1021\u1011\u1015\u103a\u1010\u103d\u1004\u103a \u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f MSE \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b 3. \u1024\u101c\u102f\u1015\u103a\u1004\u1014\u103a\u1038\u1005\u1009\u103a k \u1021\u1000\u103c\u102d\u1019\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u101a\u103a\u1011\u102f\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u1021\u1016\u103c\u1005\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1021\u1005\u102f\u1036\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u103c\u102e\u1038\u1010\u102d\u102f\u1004\u103a\u1038\u104a \u1021\u1000\u103c\u102d\u1019\u103a\u1010\u102d\u102f\u1004\u103a\u1038 [&hellip;]<\/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":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A- \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u101b\u1031\u1038\u1018\u1031\u102c\u1004\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1011\u102d\u1014\u103a\u1038\u1001\u103b\u102f\u1015\u103a\u101b\u1014\u103a trainControl \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u100a\u103a\u1038 - Statorials<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u101b\u1031\u1038\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u1018\u1031\u102c\u1004\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1011\u102d\u1014\u103a\u1038\u1001\u103b\u102f\u1015\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a R \u101b\u103e\u102d traincontrol() \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102f\u1036\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\/\u101b\u1011\u102c\u1038\u1011\u102d\u1014\u103a\u1038-r\/\" \/>\n<meta property=\"og:locale\" content=\"my_MM\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A- \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u101b\u1031\u1038\u1018\u1031\u102c\u1004\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1011\u102d\u1014\u103a\u1038\u1001\u103b\u102f\u1015\u103a\u101b\u1014\u103a trainControl \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u100a\u103a\u1038 - Statorials\" \/>\n<meta property=\"og:description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u101b\u1031\u1038\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u1018\u1031\u102c\u1004\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1011\u102d\u1014\u103a\u1038\u1001\u103b\u102f\u1015\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a R \u101b\u103e\u102d traincontrol() \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102f\u1036\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\/\u101b\u1011\u102c\u1038\u1011\u102d\u1014\u103a\u1038-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-10T13:36:46+00:00\" \/>\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\/%e1%80%9b%e1%80%91%e1%80%ac%e1%80%b8%e1%80%91%e1%80%ad%e1%80%94%e1%80%ba%e1%80%b8-r\/\",\"url\":\"https:\/\/statorials.org\/my\/%e1%80%9b%e1%80%91%e1%80%ac%e1%80%b8%e1%80%91%e1%80%ad%e1%80%94%e1%80%ba%e1%80%b8-r\/\",\"name\":\"A- \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u101b\u1031\u1038\u1018\u1031\u102c\u1004\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1011\u102d\u1014\u103a\u1038\u1001\u103b\u102f\u1015\u103a\u101b\u1014\u103a trainControl 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