{"id":1310,"date":"2023-07-26T22:17:32","date_gmt":"2023-07-26T22:17:32","guid":{"rendered":"https:\/\/statorials.org\/my\/%e1%80%a1%e1%80%80%e1%80%bc%e1%80%bd%e1%80%84%e1%80%ba%e1%80%b8%e1%80%a1%e1%80%80%e1%80%bb%e1%80%94%e1%80%ba%e1%80%99%e1%80%bb%e1%80%ac%e1%80%b8%e1%80%80%e1%80%ad%e1%80%af-r-%e1%80%90%e1%80%bd-2\/"},"modified":"2023-07-26T22:17:32","modified_gmt":"2023-07-26T22:17:32","slug":"%e1%80%a1%e1%80%80%e1%80%bc%e1%80%bd%e1%80%84%e1%80%ba%e1%80%b8%e1%80%a1%e1%80%80%e1%80%bb%e1%80%94%e1%80%ba%e1%80%99%e1%80%bb%e1%80%ac%e1%80%b8%e1%80%80%e1%80%ad%e1%80%af-r-%e1%80%90%e1%80%bd-2","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/%e1%80%a1%e1%80%80%e1%80%bc%e1%80%bd%e1%80%84%e1%80%ba%e1%80%b8%e1%80%a1%e1%80%80%e1%80%bb%e1%80%94%e1%80%ba%e1%80%99%e1%80%bb%e1%80%ac%e1%80%b8%e1%80%80%e1%80%ad%e1%80%af-r-%e1%80%90%e1%80%bd-2\/","title":{"rendered":"R \u1010\u103d\u1004\u103a \u1005\u1036\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c<\/strong> \u1006\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1019\u103e\u1010\u103a\u101e\u102c\u1038\u1011\u102c\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a <a href=\"https:\/\/statorials.org\/my\/linear-\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f-\u1041\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036<\/a> \u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d \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\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u101c\u1000\u103a\u1000\u103b\u1014\u103a = \u101e\u1010\u102d\u1015\u103c\u102f\u1019\u102d\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038 \u2013 \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101e\u1010\u102d\u1015\u103c\u102f\u1019\u102d\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u102f\u1036\u1016\u1031\u102c\u103a\u1000\u102c \u1010\u1015\u103a\u1006\u1004\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1019\u103b\u1009\u103a\u1038\u1000\u102d\u102f \u1001\u103c\u102f\u1036\u1004\u102f\u1036\u1019\u102d\u1015\u102b\u1000\u104a <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\">\u101b\u103e\u102f\u1019\u103c\u1004\u103a\u1019\u103e\u102f<\/a> \u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1005\u1030\u1038\u1005\u1019\u103a\u1038\u101c\u1031\u1037\u101c\u102c\u1001\u103c\u1004\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u102c\u1038 \u1012\u1031\u102b\u1004\u103a\u101c\u102d\u102f\u1000\u103a\u1021\u1000\u103d\u102c\u1021\u101d\u1031\u1038\u1016\u103c\u1005\u103a\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a-<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12422 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/residus1-1.png\" alt=\"\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1010\u103d\u1004\u103a \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u1014\u1031\u101e\u1031\u102c \u1025\u1015\u1019\u102c\" width=\"487\" height=\"382\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d \u1021\u1005\u103d\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1001\u103d\u1032\u1001\u103c\u102c\u1038\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101b\u1014\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101c\u1031\u1037\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f <strong>\u1005\u1036\u1015\u103c\u102f\u1000\u103b\u1014\u103a\u1014\u1031\u101e\u1031\u1038<\/strong> \u101e\u100a\u103a\u101f\u102f \u1001\u1031\u102b\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>r <sub>i<\/sub> = e <sub>i<\/sub> \/ s(e <sub>i<\/sub> )<\/strong> = <strong>e <sub>i<\/sub> \/ RSE\u221a <span style=\"border-top: 1px solid black;\">1-h <sub>ii<\/sub><\/span><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>e <sub>i<\/sub> :<\/strong> i <sup>th<\/sup> \u1021\u1000\u103c\u103d\u1004\u103a\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>RSE-<\/strong> \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u104f \u1000\u103b\u1014\u103a\u1014\u1031\u101e\u1031\u102c \u1005\u1036\u101c\u103d\u1032\u1001\u103b\u1031\u102c\u103a\u1019\u103e\u102f<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>h <sub>II<\/sub><\/strong> : <sup>IT<\/sup> \u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u1019\u103e\u102f \u1019\u103c\u1004\u1037\u103a\u1010\u1000\u103a\u101c\u102c\u1001\u103c\u1004\u103a\u1038\u104b<\/span><\/li>\n<\/ul>\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\u1000\u1010\u102d\u1010\u1014\u103a\u1016\u102d\u102f\u1038 3 \u1011\u1000\u103a\u1000\u103c\u102e\u1038\u101e\u1031\u102c \u1005\u1036\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c\u1019\u100a\u103a\u101e\u100a\u1037\u103a\u1021\u101b\u102c\u1000\u102d\u102f\u1019\u1006\u102d\u102f \u1021\u1000\u103c\u1019\u103a\u1038\u1016\u103b\u1004\u103a\u1038\u1021\u1016\u103c\u1005\u103a \u101e\u102f\u1036\u1038\u101e\u1015\u103a\u101c\u1031\u1037\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1000\u103b\u1030\u1010\u102d\u102f\u101b\u102e\u101b\u101a\u103a\u1010\u103d\u1004\u103a R \u1010\u103d\u1004\u103a \u1005\u1036\u1001\u103b\u102d\u1014\u103a\u1005\u1036\u100a\u103d\u103e\u1014\u103a\u1038\u1015\u103c\u102f\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038 \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u1000\u102d\u102f \u1015\u1031\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 1: \u1012\u1031\u1010\u102c\u1000\u102d\u102f\u1011\u100a\u1037\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1015\u1011\u1019\u1026\u1038\u1005\u103d\u102c R \u1010\u103d\u1004\u103a\u1021\u101c\u102f\u1015\u103a\u101c\u102f\u1015\u103a\u101b\u1014\u103a \u101e\u1031\u1038\u1004\u101a\u103a\u101e\u1031\u102c\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data<\/span>\ndata &lt;- data.frame(x=c(8, 12, 12, 13, 14, 16, 17, 22, 24, 26, 29, 30),\n                   y=c(41, 42, 39, 37, 35, 39, 45, 46, 39, 49, 55, 57))\n\n<span style=\"color: #008080;\">#viewdata\n<\/span>data\n\n    xy\n1 8 41\n2 12 42\n3 12 39\n4 13 37\n5 14 35\n6 16 39\n7 17 45\n8 22 46\n9 24 39\n10 26 49\n11 29 55\n12 30 57<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 2- \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1000\u102d\u102f \u1021\u1036\u1000\u102d\u102f\u1000\u103a\u101c\u102f\u1015\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a <a href=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a-\u101b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener\">\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c linear regression model<\/a> \u1014\u103e\u1004\u1037\u103a\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u101b\u1014\u103a <strong>lm()<\/strong> function \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit model\n<\/span>model &lt;- lm(y ~ x, data=data)\n\n<span style=\"color: #008080;\">#view model summary\n<span style=\"color: #000000;\">summary(model)<\/span> \n\n<span style=\"color: #000000;\">Call:\nlm(formula = y ~ x, data = data)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-8.7578 -2.5161 0.0292 3.3457 5.3268 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 29.6309 3.6189 8.188 9.6e-06 ***\nx 0.7553 0.1821 4.148 0.00199 ** \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 4.442 on 10 degrees of freedom\nMultiple R-squared: 0.6324, Adjusted R-squared: 0.5956 \nF-statistic: 17.2 on 1 and 10 DF, p-value: 0.001988<\/span><\/span><\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 3- \u1005\u1036\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u104f \u1005\u1036\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u1014\u1031\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a built-in \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a <strong>rstandard() \u1000\u102d\u102f<\/strong> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate the standardized residuals\n<\/span>standard_res &lt;- rstandard(model)\n\n<span style=\"color: #008080;\">#view the standardized residuals<\/span>\nstandard_res\n\n          1 2 3 4 5 6 \n 1.40517322 0.81017562 0.07491009 -0.59323342 -1.24820530 -0.64248883 \n          7 8 9 10 11 12 \n 0.59610905 -0.05876884 -2.11711982 -0.06655600 0.91057211 1.26973888\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1006\u1014\u1039\u1012\u101b\u103e\u102d\u1015\u102b\u1000 \u1019\u1030\u101b\u1004\u103a\u1038\u1012\u1031\u1010\u102c\u1018\u1031\u102c\u1004\u103a\u101e\u102d\u102f\u1037 \u1005\u1036\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c\u1015\u1005\u1039\u1005\u100a\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1011\u100a\u1037\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;\">#column bind standardized residuals back to original data frame\n<\/span>final_data &lt;- cbind(data, standard_res)\n\n<span style=\"color: #008080;\">#view data frame<\/span>\n    xy standard_res\n1 8 41 1.40517322\n2 12 42 0.81017562\n3 12 39 0.07491009\n4 13 37 -0.59323342\n5 14 35 -1.24820530\n6 16 39 -0.64248883\n7 17 45 0.59610905\n8 22 46 -0.05876884\n9 24 39 -2.11711982\n10 26 49 -0.06655600\n11 29 55 0.91057211\n12 30 57 1.26973888\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a \u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u1021\u1000\u103c\u102e\u1038\u1019\u103e\u1021\u101e\u1031\u1038\u1006\u102f\u1036\u1038\u1021\u1011\u102d \u1005\u102e\u1001\u103d\u1032\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#sort standardized residuals descending\n<span style=\"color: #000000;\">final_data[ <span style=\"color: #3366ff;\">order<\/span> (-standard_res),]\n\n    xy standard_res\n1 8 41 1.40517322\n12 30 57 1.26973888\n11 29 55 0.91057211\n2 12 42 0.81017562\n7 17 45 0.59610905\n3 12 39 0.07491009\n8 22 46 -0.05876884\n10 26 49 -0.06655600\n4 13 37 -0.59323342\n6 16 39 -0.64248883\n5 14 35 -1.24820530\n9 24 39 -2.11711982<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1019\u103e\u104a \u1005\u1036\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1010\u1005\u103a\u1001\u102f\u1019\u103e 3 \u104f \u1015\u1000\u1010\u102d\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1011\u1000\u103a \u1019\u1000\u103b\u1031\u102c\u103a\u101c\u103d\u1014\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1031\u1037\u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1019\u103e \u1021\u1005\u103d\u1014\u103a\u1038\u1011\u103d\u1000\u103a\u1015\u102f\u1036\u1019\u1015\u1031\u102b\u103a\u1015\u102b\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 4- \u1005\u1036\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u103c\u1004\u103a\u101a\u1031\u102c\u1004\u103a\u1000\u103c\u100a\u1037\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1010\u103d\u1004\u103a\u104a \u1005\u1036\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1006\u1014\u1037\u103a\u1000\u103b\u1004\u103a\u1018\u1000\u103a\u1016\u103c\u1005\u103a\u101e\u1031\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u104f \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u103c\u1004\u103a\u101e\u102c\u1005\u1031\u101b\u1014\u103a \u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1021\u1005\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\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: #008080;\">#plot predictor variable vs. standardized residuals\n<\/span>plot(final_data$x, standard_res, ylab=' <span style=\"color: #008000;\">Standardized Residuals<\/span> ', xlab=' <span style=\"color: #008000;\">x<\/span> ') \n\n<span style=\"color: #008080;\">#add horizontal line at 0\n<\/span>abline(0, 0)<\/span><\/span><\/strong><\/pre>\n<h3> <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><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/my\/\u1021\u1000\u103c\u103d\u1004\u103a\u1038\/\" target=\"_blank\" rel=\"noopener\">\u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1010\u103d\u1031\u1000 \u1018\u102c\u1010\u103d\u1031\u101c\u1032\u104b<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/\u1005\u1036\u1015\u103c\u102f\u1011\u102c\u1038\u101e\u1031\u102c-\u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\/\">\u1005\u1036\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104b<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/multiple-linear-regression\/\" target=\"_blank\" rel=\"noopener\">Multiple Linear Regression \u1021\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1014\u102d\u1012\u102b\u1014\u103a\u1038<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c \u1006\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1019\u103e\u1010\u103a\u101e\u102c\u1038\u1011\u102c\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036 \u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d \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\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a\u104b \u101c\u1000\u103a\u1000\u103b\u1014\u103a = \u101e\u1010\u102d\u1015\u103c\u102f\u1019\u102d\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038 \u2013 \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101e\u1010\u102d\u1015\u103c\u102f\u1019\u102d\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u102f\u1036\u1016\u1031\u102c\u103a\u1000\u102c \u1010\u1015\u103a\u1006\u1004\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1019\u103b\u1009\u103a\u1038\u1000\u102d\u102f \u1001\u103c\u102f\u1036\u1004\u102f\u1036\u1019\u102d\u1015\u102b\u1000\u104a \u101b\u103e\u102f\u1019\u103c\u1004\u103a\u1019\u103e\u102f \u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1005\u1030\u1038\u1005\u1019\u103a\u1038\u101c\u1031\u1037\u101c\u102c\u1001\u103c\u1004\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u102c\u1038 \u1012\u1031\u102b\u1004\u103a\u101c\u102d\u102f\u1000\u103a\u1021\u1000\u103d\u102c\u1021\u101d\u1031\u1038\u1016\u103c\u1005\u103a\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a- \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d \u1021\u1005\u103d\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1001\u103d\u1032\u1001\u103c\u102c\u1038\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101b\u1014\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101c\u1031\u1037\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1005\u1036\u1015\u103c\u102f\u1000\u103b\u1014\u103a\u1014\u1031\u101e\u1031\u1038 \u101e\u100a\u103a\u101f\u102f \u1001\u1031\u102b\u103a\u101e\u100a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a\u104b r i = e i \/ s(e i ) = e i \/ RSE\u221a 1-h ii [&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>R \u1010\u103d\u1004\u103a \u1005\u1036\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f 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