{"id":1192,"date":"2023-07-27T08:19:55","date_gmt":"2023-07-27T08:19:55","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d9%82%d9%85%d8%a9-%d8%a7%d9%84%d8%a7%d9%86%d8%ad%d8%af%d8%a7%d8%b1-%d9%81%d9%8a-%d8%b5\/"},"modified":"2023-07-27T08:19:55","modified_gmt":"2023-07-27T08:19:55","slug":"%d9%82%d9%85%d8%a9-%d8%a7%d9%84%d8%a7%d9%86%d8%ad%d8%af%d8%a7%d8%b1-%d9%81%d9%8a-%d8%b5","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d9%82%d9%85%d8%a9-%d8%a7%d9%84%d8%a7%d9%86%d8%ad%d8%af%d8%a7%d8%b1-%d9%81%d9%8a-%d8%b5\/","title":{"rendered":"\u0627\u0646\u062d\u062f\u0627\u0631 \u0631\u064a\u062f\u062c \u0641\u064a r (\u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p style=\";text-align:right;direction:rtl\"><span style=\"color: #000000;\">\u064a\u0639\u062f <a href=\"https:\/\/statorials.org\/ar\/\u062a\u0631\u0627\u062c\u0639-\u0627\u0644\u062a\u0644\u0627\u0644\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u0627\u0646\u062d\u062f\u0627\u0631 \u0631\u064a\u062f\u062c<\/a> \u0637\u0631\u064a\u0642\u0629 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u0644\u062a\u0646\u0627\u0633\u0628 \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0639\u0646\u062f \u0648\u062c\u0648\u062f <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631-\u0645\u062a\u0639\u062f\u062f-\u0627\u0644\u062e\u0637\u064a\u0629\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u0639\u0644\u0627\u0642\u0629 \u062e\u0637\u064a\u0629 \u0645\u062a\u0639\u062f\u062f\u0629<\/a> \u0641\u064a \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u064a\u062d\u0627\u0648\u0644 \u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0635\u063a\u0631\u0649 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u062a\u0642\u062f\u064a\u0631\u0627\u062a \u0644\u0644\u0645\u0639\u0627\u0645\u0644 \u062a\u0642\u0644\u0644 \u0645\u0646 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0645\u062a\u0628\u0642\u064a\u0629 (RSS):<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>RSS = \u03a3(\u0635 <sub>\u0637<\/sub> \u2013 \u0177 <sub>\u0637<\/sub> )2<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0630\u0647\u0628:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> : \u0631\u0645\u0632 \u064a\u0648\u0646\u0627\u0646\u064a \u0645\u0639\u0646\u0627\u0647 <em>\u0627\u0644\u0645\u062c\u0645\u0648\u0639<\/em><\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>y <sub>i<\/sub><\/strong> : \u0642\u064a\u0645\u0629 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0627\u0644\u0641\u0639\u0644\u064a\u0629 \u0644\u0644\u0645\u0644\u0627\u062d\u0638\u0629 <sup>\u0631\u0642\u0645 i<\/sup><\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0177 <sub>i<\/sub><\/strong> : \u0642\u064a\u0645\u0629 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0645\u062a\u0639\u062f\u062f<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0639\u0644\u0649 \u0627\u0644\u0639\u0643\u0633 \u0645\u0646 \u0630\u0644\u0643\u060c \u064a\u0633\u0639\u0649 \u0627\u0646\u062d\u062f\u0627\u0631 \u0631\u064a\u062f\u062c \u0625\u0644\u0649 \u062a\u0642\u0644\u064a\u0644 \u0645\u0627 \u064a\u0644\u064a:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0622\u0631 \u0625\u0633 \u0625\u0633 + \u03a3\u03b2 <sub>\u064a<\/sub> <sup>2<\/sup><\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062d\u064a\u062b \u062a\u0646\u062a\u0642\u0644 <em>j<\/em> \u0645\u0646 1 \u0625\u0644\u0649 \u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u062a\u0648\u0642\u0639 <em>p<\/em> \u0648 \u2265 \u2265 0.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u064f\u0639\u0631\u0641 \u0647\u0630\u0627 \u0627\u0644\u062d\u062f \u0627\u0644\u062b\u0627\u0646\u064a \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 <em>\u0628\u0639\u0642\u0648\u0628\u0629 \u0627\u0644\u0627\u0646\u0633\u062d\u0627\u0628<\/em> . \u0641\u064a \u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062a\u0644\u0627\u0644\u060c \u0646\u062e\u062a\u0627\u0631 \u0642\u064a\u0645\u0629 \u03c0 \u0627\u0644\u062a\u064a \u062a\u0646\u062a\u062c \u0623\u0642\u0644 \u0627\u062e\u062a\u0628\u0627\u0631 MSE \u0645\u0645\u0643\u0646 (\u0645\u062a\u0648\u0633\u0637 \u0645\u0631\u0628\u0639 \u0627\u0644\u062e\u0637\u0623).<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0648\u0641\u0631 \u0647\u0630\u0627 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u064a \u0645\u062b\u0627\u0644\u0627\u064b \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062a\u0644\u0627\u0644 \u0641\u064a R.<\/span><\/p>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u062e\u0637\u0648\u0629 1: \u062a\u062d\u0645\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0633\u0648\u0641 \u0646\u0633\u062a\u062e\u062f\u0645 \u0645\u062c\u0645\u0648\u0639\u0629 \u0628\u064a\u0627\u0646\u0627\u062a R \u0627\u0644\u0645\u0636\u0645\u0646\u0629 \u0648\u0627\u0644\u062a\u064a \u062a\u0633\u0645\u0649 <strong>mtcars<\/strong> . \u0633\u0648\u0641 \u0646\u0633\u062a\u062e\u062f\u0645 <strong>hp<\/strong> \u0643\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0648\u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0643\u062a\u0646\u0628\u0624\u0627\u062a:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0645\u064a\u0644\u0627 \u0641\u064a \u0627\u0644\u063a\u0627\u0644\u0648\u0646<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0632\u0646<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u0644\u0642\u0631\u0641<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">com.qsec<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u0625\u062c\u0631\u0627\u0621 \u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062a\u0644\u0627\u0644\u060c \u0633\u0648\u0641 \u0646\u0633\u062a\u062e\u062f\u0645 \u0648\u0638\u0627\u0626\u0641 \u0645\u0646 \u062d\u0632\u0645\u0629 <strong>glmnet<\/strong> . \u062a\u062a\u0637\u0644\u0628 \u0647\u0630\u0647 \u0627\u0644\u062d\u0632\u0645\u0629 \u0623\u0646 \u064a\u0643\u0648\u0646 <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a-\u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0627\u062a-\u0627\u0644\u062a\u0641\u0633\u064a\u0631\u064a\u0629\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629<\/a> \u0645\u062a\u062c\u0647\u064b\u0627 \u0648\u0623\u0646 \u062a\u0643\u0648\u0646 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u062a\u0648\u0642\u0639 \u0645\u0646 \u0641\u0626\u0629 <strong>data.matrix<\/strong> .<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0648\u0636\u062d \u0627\u0644\u0643\u0648\u062f \u0627\u0644\u062a\u0627\u0644\u064a \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u062f\u064a\u062f \u0628\u064a\u0627\u0646\u0627\u062a\u0646\u0627:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#define response variable<\/span>\ny &lt;- mtcars$hp\n\n<span style=\"color: #008080;\">#define matrix of predictor variables\n<\/span>x &lt;- data.matrix(mtcars[, c('mpg', 'wt', 'drat', 'qsec')])\n<\/strong><\/span><\/pre>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u062e\u0637\u0648\u0629 2: \u062a\u0646\u0627\u0633\u0628 \u0646\u0645\u0648\u0630\u062c \u0627\u0646\u062d\u062f\u0627\u0631 \u0631\u064a\u062f\u062c<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0628\u0639\u062f \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u0646\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 <strong>glmnet()<\/strong> \u200e \u0644\u0645\u0644\u0627\u0621\u0645\u0629 \u0646\u0645\u0648\u0630\u062c \u0627\u0646\u062d\u062f\u0627\u0631 Ridge \u0648\u062a\u062d\u062f\u064a\u062f <strong>alpha=0<\/strong> .<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u0627\u062d\u0638 \u0623\u0646 \u062a\u0639\u064a\u064a\u0646 \u0623\u0644\u0641\u0627 \u064a\u0633\u0627\u0648\u064a 1 \u064a\u0639\u0627\u062f\u0644 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0646\u062d\u062f\u0627\u0631 Lasso \u0648\u062a\u0639\u064a\u064a\u0646 \u0623\u0644\u0641\u0627 \u0625\u0644\u0649 \u0642\u064a\u0645\u0629 \u0628\u064a\u0646 0 \u06481 \u064a\u0639\u0627\u062f\u0644 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0634\u0628\u0643\u0629 \u0645\u0631\u0646\u0629.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u0627\u062d\u0638 \u0623\u064a\u0636\u064b\u0627 \u0623\u0646 \u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062a\u0644\u0627\u0644 \u064a\u062a\u0637\u0644\u0628 \u062a\u0648\u062d\u064a\u062f \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0628\u062d\u064a\u062b \u064a\u0643\u0648\u0646 \u0644\u0643\u0644 \u0645\u062a\u063a\u064a\u0631 \u0645\u062a\u0646\u0628\u0626 \u0645\u062a\u0648\u0633\u0637 0 \u0648\u0627\u0646\u062d\u0631\u0627\u0641 \u0645\u0639\u064a\u0627\u0631\u064a 1.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u062d\u0633\u0646 \u0627\u0644\u062d\u0638\u060c \u064a\u0642\u0648\u0645 <strong>glmnet()<\/strong> \u062a\u0644\u0642\u0627\u0626\u064a\u064b\u0627 \u0628\u0647\u0630\u0627 \u0627\u0644\u062a\u0648\u062d\u064a\u062f \u0646\u064a\u0627\u0628\u0629\u064b \u0639\u0646\u0643. \u0625\u0630\u0627 \u0642\u0645\u062a \u0628\u0627\u0644\u0641\u0639\u0644 \u0628\u062a\u0648\u062d\u064a\u062f \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a\u060c \u0641\u064a\u0645\u0643\u0646\u0643 \u062a\u062d\u062f\u064a\u062f <strong>Standardize=False<\/strong> .<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #993300;\">library<\/span> (glmnet)<\/span>\n\n#fit ridge regression model\n<\/span>model &lt;- glmnet(x, y, alpha = <span style=\"color: #008000;\">0<\/span> )\n\n<span style=\"color: #008080;\">#view summary of model\n<\/span>summary(model)\n\n          Length Class Mode   \na0 100 -none- numeric\nbeta 400 dgCMatrix S4     \ndf 100 -none- numeric\ndim 2 -none- numeric\nlambda 100 -none- numeric\ndev.ratio 100 -none- numeric\nnulldev 1 -none- numeric\nnpasses 1 -none- numeric\njerr 1 -none- numeric\noffset 1 -none- logical\ncall 4 -none- call   \nnobs 1 -none- numeric\n<\/strong><\/span><\/pre>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u062e\u0637\u0648\u0629 3: \u0627\u062e\u062a\u0631 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u062b\u0644\u0649 \u0644\u0640 Lambda<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0628\u0639\u062f \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u0646\u062d\u062f\u062f \u0642\u064a\u0645\u0629 \u0644\u0627\u0645\u062f\u0627 \u0627\u0644\u062a\u064a \u062a\u0646\u062a\u062c \u0623\u0642\u0644 \u062e\u0637\u0623 \u0645\u062a\u0648\u0633\u0637 \u0645\u0631\u0628\u0639 \u0644\u0644\u0627\u062e\u062a\u0628\u0627\u0631 (MSE) \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 <a href=\"https:\/\/statorials.org\/ar\/\u0643-\u0627\u0654\u0636\u0639\u0627\u0641-\u0627\u0644\u062a\u062d\u0642\u0642-\u0645\u0646-\u0635\u062d\u0629-\u0627\u0644\u0635\u0644\u064a\u0628\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u0627\u0644\u062a\u062d\u0642\u0642 \u0627\u0644\u0645\u062a\u0628\u0627\u062f\u0644 k-fold<\/a> .<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u062d\u0633\u0646 \u0627\u0644\u062d\u0638\u060c \u064a\u062d\u062a\u0648\u064a <strong>glmnet<\/strong> \u0639\u0644\u0649 \u0648\u0638\u064a\u0641\u0629 <strong>cv.glmnet()<\/strong> \u0627\u0644\u062a\u064a \u062a\u0642\u0648\u0645 \u062a\u0644\u0642\u0627\u0626\u064a\u064b\u0627 \u0628\u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0635\u062d\u0629 k-fold \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 k = 10 \u0645\u0631\u0627\u062a.<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#perform k-fold cross-validation to find optimal lambda value\n<\/span>cv_model &lt;- cv. <span style=\"color: #3366ff;\">glmnet<\/span> (x, y, alpha = <span style=\"color: #008000;\">0<\/span> )\n\n<span style=\"color: #008080;\">#find optimal lambda value that minimizes test MSE\n<\/span>best_lambda &lt;- cv_model$ <span style=\"color: #3366ff;\">lambda<\/span> . <span style=\"color: #3366ff;\">min<\/span>\nbest_lambda\n\n[1] 10.04567\n\n<span style=\"color: #008080;\">#produce plot of test MSE by lambda value<\/span>\nplot(cv_model) \n<\/strong><\/span><\/pre>\n<p style=\";text-align:right;direction:rtl\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11860 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/faiter1.png\" alt=\"\u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0644\u0635\u062d\u0629 \u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062a\u0644\u0627\u0644 \u0641\u064a R\" width=\"443\" height=\"426\" srcset=\"\" sizes=\"\"><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062a\u0628\u064a\u0646 \u0623\u0646 \u0642\u064a\u0645\u0629 \u0644\u0627\u0645\u062f\u0627 \u0627\u0644\u062a\u064a \u062a\u0642\u0644\u0644 \u0645\u0646 \u0627\u062e\u062a\u0628\u0627\u0631 MSE \u0647\u064a <strong>10.04567<\/strong> .<\/span><\/p>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u062e\u0637\u0648\u0629 4: \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0646\u0647\u0627\u0626\u064a<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0623\u062e\u064a\u0631\u0627\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0646\u0647\u0627\u0626\u064a \u0627\u0644\u0646\u0627\u062a\u062c \u0639\u0646 \u0642\u064a\u0645\u0629 \u0644\u0627\u0645\u062f\u0627 \u0627\u0644\u0645\u062b\u0644\u0649.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0643\u0648\u062f \u0627\u0644\u062a\u0627\u0644\u064a \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u062a\u0642\u062f\u064a\u0631\u0627\u062a \u0627\u0644\u0645\u0639\u0627\u0645\u0644 \u0644\u0647\u0630\u0627 \u0627\u0644\u0646\u0645\u0648\u0630\u062c:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#find coefficients of best model\n<\/span>best_model &lt;- glmnet(x, y, alpha = <span style=\"color: #008000;\">0<\/span> , lambda = best_lambda)\ncoef(best_model)\n\n5 x 1 sparse Matrix of class \"dgCMatrix\"\n                    s0\n(Intercept) 475.242646\nmpg -3.299732\nwt 19.431238\ndrat -1.222429\nqsec -17.949721<\/strong><\/span><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u064a\u0636\u064b\u0627 \u0625\u0646\u062a\u0627\u062c \u0645\u062e\u0637\u0637 \u062a\u062a\u0628\u0639 \u0644\u062a\u0635\u0648\u0631 \u0643\u064a\u0641\u064a\u0629 \u062a\u063a\u064a\u0631 \u062a\u0642\u062f\u064a\u0631\u0627\u062a \u0627\u0644\u0645\u0639\u0627\u0645\u0644 \u0628\u0633\u0628\u0628 \u0627\u0644\u0632\u064a\u0627\u062f\u0629 \u0641\u064a \u0644\u0627\u0645\u062f\u0627:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#produce Ridge trace plot<\/span>\nplot(model, xvar = \" <span style=\"color: #008000;\">lambda<\/span> \")<\/strong><\/span> <\/pre>\n<p style=\";text-align:right;direction:rtl\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11861 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/creter2.png\" alt=\"\u0623\u062b\u0631 \u0631\u064a\u062f\u062c \u0641\u064a R\" width=\"419\" height=\"411\" srcset=\"\" sizes=\"\"><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u062d\u0633\u0627\u0628 <a href=\"https:\/\/statorials.org\/ar\/\u0642\u064a\u0645\u0629-r-\u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629-\u062c\u064a\u062f\u0629\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u0645\u0631\u0628\u0639 R \u0644\u0644\u0646\u0645\u0648\u0630\u062c<\/a> \u0639\u0644\u0649 \u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u062a\u062f\u0631\u064a\u0628:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#use fitted best model to make predictions\n<\/span>y_predicted &lt;- <span style=\"color: #3366ff;\">predict<\/span> (model, s = best_lambda, newx = x)\n\n<span style=\"color: #008080;\">#find OHS and SSE<\/span>\nsst &lt;- <span style=\"color: #3366ff;\">sum<\/span> ((y - <span style=\"color: #3366ff;\">mean<\/span> (y))^2)\nsse &lt;- <span style=\"color: #3366ff;\">sum<\/span> ((y_predicted - y)^2)\n\n<span style=\"color: #008080;\">#find R-Squared\n<\/span>rsq &lt;- 1 - sse\/sst\nrsq\n\n[1] 0.7999513\n<\/strong><\/span><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062a\u0628\u064a\u0646 \u0623\u0646 \u0645\u0631\u0628\u0639 R \u064a\u0633\u0627\u0648\u064a <strong>0.7999513<\/strong> . \u0623\u064a \u0623\u0646 \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0623\u0641\u0636\u0644 \u0627\u0633\u062a\u0637\u0627\u0639 \u062a\u0641\u0633\u064a\u0631 <strong>79.99%<\/strong> \u0645\u0646 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0641\u064a \u0642\u064a\u0645 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u062a\u062f\u0631\u064a\u0628.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0631\u0645\u0632 R \u0627\u0644\u0643\u0627\u0645\u0644 \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u062b\u0627\u0644 <a href=\"https:\/\/github.com\/- Statorials\/R-Guides\/blob\/main\/ridge_regression.R\" target=\"_blank\" rel=\"noopener noreferrer\">\u0647\u0646\u0627<\/a> .<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u064a\u0639\u062f \u0627\u0646\u062d\u062f\u0627\u0631 \u0631\u064a\u062f\u062c \u0637\u0631\u064a\u0642\u0629 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u0644\u062a\u0646\u0627\u0633\u0628 \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0639\u0646\u062f \u0648\u062c\u0648\u062f \u0639\u0644\u0627\u0642\u0629 \u062e\u0637\u064a\u0629 \u0645\u062a\u0639\u062f\u062f\u0629 \u0641\u064a \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a. \u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u064a\u062d\u0627\u0648\u0644 \u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0635\u063a\u0631\u0649 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u062a\u0642\u062f\u064a\u0631\u0627\u062a \u0644\u0644\u0645\u0639\u0627\u0645\u0644 \u062a\u0642\u0644\u0644 \u0645\u0646 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0645\u062a\u0628\u0642\u064a\u0629 (RSS): RSS = \u03a3(\u0635 \u0637 \u2013 \u0177 \u0637 )2 \u0630\u0647\u0628: \u03a3 : \u0631\u0645\u0632 \u064a\u0648\u0646\u0627\u0646\u064a \u0645\u0639\u0646\u0627\u0647 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 y i : \u0642\u064a\u0645\u0629 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0627\u0644\u0641\u0639\u0644\u064a\u0629 \u0644\u0644\u0645\u0644\u0627\u062d\u0638\u0629 \u0631\u0642\u0645 i [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"yoast_head":"<!-- This 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