{"id":1313,"date":"2023-07-26T22:05:53","date_gmt":"2023-07-26T22:05:53","guid":{"rendered":"https:\/\/statorials.org\/my\/multiple-linear-regression-%e1%80%80%e1%80%ad%e1%80%af-r-%e1%80%96%e1%80%bc%e1%80%84%e1%80%b7%e1%80%ba-%e1%80%80%e1%80%bc%e1%80%b6%e1%80%85%e1%80%8a%e1%80%ba%e1%80%95%e1%80%ab%e1%81%8b\/"},"modified":"2023-07-26T22:05:53","modified_gmt":"2023-07-26T22:05:53","slug":"multiple-linear-regression-%e1%80%80%e1%80%ad%e1%80%af-r-%e1%80%96%e1%80%bc%e1%80%84%e1%80%b7%e1%80%ba-%e1%80%80%e1%80%bc%e1%80%b6%e1%80%85%e1%80%8a%e1%80%ba%e1%80%95%e1%80%ab%e1%81%8b","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/multiple-linear-regression-%e1%80%80%e1%80%ad%e1%80%af-r-%e1%80%96%e1%80%bc%e1%80%84%e1%80%b7%e1%80%ba-%e1%80%80%e1%80%bc%e1%80%b6%e1%80%85%e1%80%8a%e1%80%ba%e1%80%95%e1%80%ab%e1%81%8b\/","title":{"rendered":"\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1015\u103c\u1014\u103a\u1006\u102f\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f r \u1010\u103d\u1004\u103a \u1021\u1019\u103b\u102c\u1038\u1021\u1015\u103c\u102c\u1038\u1001\u103b\u1014\u100a\u103a\u1038"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a R \u1010\u103d\u1004\u103a <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 \u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1015\u103c\u1014\u103a\u1006\u102f\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f<\/a> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101e\u1031\u102c\u1021\u1001\u102b\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a <a href=\"https:\/\/statorials.org\/my\/\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c-\u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a-\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener\">\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a<\/a> \u1010\u1005\u103a\u1001\u102f\u1010\u100a\u103a\u1038\u1016\u103c\u1004\u1037\u103a\u101e\u102c \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u1031\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \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 \u1019\u103c\u1004\u103a\u101a\u1031\u102c\u1004\u103a\u101b\u1014\u103a \u101c\u103d\u101a\u103a\u1000\u1030\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 \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c \u1019\u103b\u1009\u103a\u1038\u1016\u103c\u1031\u102c\u1004\u1037\u103a\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1005\u1031\u101b\u1014\u103a \u1016\u1031\u102c\u103a\u1015\u103c\u1015\u103c\u102e\u1038 \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u102f\u1036\u1016\u1031\u102c\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;\">#create dataset\n<\/span>data &lt;- data.frame(x = c(1, 1, 2, 4, 4, 5, 6, 7, 7, 8, 9, 10, 11, 11),\n                   y = c(13, 14, 17, 23, 24, 25, 25, 24, 28, 32, 33, 35, 40, 41))\n\n<span style=\"color: #008080;\">#fit simple linear regression model\n<\/span>model &lt;- lm(y ~ x, data = data)\n\n<span style=\"color: #008080;\">#create scatterplot of data\n<\/span>plot(data$x, data$y)\n\n<span style=\"color: #008080;\">#add fitted regression line\n<\/span>abline(model)\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12859 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/plotmultipleregression1.png\" alt=\"R \u1010\u103d\u1004\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c \u1019\u103b\u1009\u103a\u1038\u1016\u103c\u1031\u102c\u1004\u1037\u103a\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1019\u103b\u1009\u103a\u1038\u1000\u102d\u102f \u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1021\u1005\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \u1015\u102f\u1036\u1016\u1031\u102c\u103a\u1001\u103c\u1004\u103a\u1038\u104b\" width=\"413\" height=\"381\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a <a href=\"https:\/\/statorials.org\/my\/multiple-linear-regression-r\/\" target=\"_blank\" rel=\"noopener\">\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101e\u1031\u102c\u1021\u1001\u102b\u104a<\/a> \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u101b\u103e\u102d\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u103c\u1004\u103a\u101a\u1031\u102c\u1004\u103a\u101b\u1014\u103a \u1001\u1000\u103a\u1001\u1032\u101c\u102c\u1015\u103c\u102e\u1038 2D \u1002\u101b\u1015\u103a\u1015\u1031\u102b\u103a\u1010\u103d\u1004\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1019\u103b\u1009\u103a\u1038\u1000\u102d\u102f \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u1005\u103d\u102c \u1019\u1000\u103c\u1036\u1005\u100a\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101a\u1004\u103a\u1038\u1021\u1005\u102c\u1038\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a <strong>\u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038 variable plots<\/strong> (\u1010\u1005\u103a\u1001\u102b\u1010\u1005\u103a\u101b\u1036 &#8220; partial regression plots&#8221;  \u101f\u102f\u1001\u1031\u102b\u103a\u101e\u100a\u103a) \u1000\u102d\u102f\u101e\u102f\u1036\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1004\u1037\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u1000\u102d\u102f\u1015\u103c\u101e\u101e\u100a\u1037\u103a \u1010\u1005\u103a\u1005\u102d\u1010\u103a\u1010\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038\u1000\u103d\u1000\u103a\u1000\u103d\u1000\u103a\u1019\u103b\u102c\u1038 <em>\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u101b\u103e\u102d \u1021\u1001\u103c\u102c\u1038\u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u101b\u103e\u102d\u1014\u1031\u1001\u103c\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u1011\u102d\u1014\u103a\u1038\u1001\u103b\u102f\u1015\u103a\u1014\u1031\u1005\u1009\u103a<\/em> \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 R \u1010\u103d\u1004\u103a \u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f \u1021\u1019\u103b\u102c\u1038\u1021\u1015\u103c\u102c\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1015\u103c\u101e\u1015\u103c\u102e\u1038 \u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1015\u103a\u1011\u100a\u1037\u103a\u101e\u103d\u1004\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u1000\u103d\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u101b\u101c\u1012\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<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c- R \u1010\u103d\u1004\u103a \u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1015\u103c\u1014\u103a\u1006\u102f\u1010\u103a\u1019\u103e\u102f\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1000\u102d\u102f \u1015\u102f\u1036\u1016\u1031\u102c\u103a\u1001\u103c\u1004\u103a\u1038\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1010\u1015\u103a\u1006\u1004\u103a\u1011\u102c\u1038\u101e\u1031\u102c <strong>mtcars<\/strong> \u1012\u1031\u1010\u102c\u1021\u1005\u102f\u1036\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d R \u101b\u103e\u102d \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1019\u103b\u102d\u102f\u1038\u1005\u102f\u1036\u1000\u102d\u102f \u1016\u103c\u100a\u1037\u103a\u101e\u103d\u1004\u103a\u1038\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\n<span style=\"color: #000000;\">model &lt;- lm(mpg ~ disp + hp + drat, data = mtcars)\n<\/span>\n#view results of model\n<span style=\"color: #000000;\">summary(model)\n\nCall:\nlm(formula = mpg ~ disp + hp + drat, data = mtcars)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-5.1225 -1.8454 -0.4456 1.1342 6.4958 \n\nCoefficients:\n             Estimate Std. Error t value Pr(&gt;|t|)   \n(Intercept) 19.344293 6.370882 3.036 0.00513 **\navailable -0.019232 0.009371 -2.052 0.04960 * \nhp -0.031229 0.013345 -2.340 0.02663 * \ndrat 2.714975 1.487366 1.825 0.07863 . \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 3.008 on 28 degrees of freedom\nMultiple R-squared: 0.775, Adjusted R-squared: 0.7509 \nF-statistic: 32.15 on 3 and 28 DF, p-value: 3.28e-09\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1019\u103e\u104a coefficient \u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a p-value \u101e\u100a\u103a 0.1 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u100a\u103a\u1000\u102d\u102f \u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u1005\u1031\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a\u104a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1015\u1031\u1038\u101e\u100a\u1037\u103a\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u101e\u100a\u103a \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u1015\u103c\u102e\u1038 \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u103d\u1004\u103a \u1011\u100a\u1037\u103a\u101e\u103d\u1004\u103a\u1038\u101e\u1004\u1037\u103a\u101e\u100a\u103a\u101f\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101a\u1030\u1006\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1014\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1010\u103d\u1032 variable \u1019\u103b\u102c\u1038\u104f\u1000\u103d\u1000\u103a\u1000\u103d\u1000\u103a\u1019\u103b\u102c\u1038\u1011\u102f\u1010\u103a\u101c\u102f\u1015\u103a\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a <strong>\u1000\u102c\u1038<\/strong> \u1015\u1000\u103a\u1000\u1031\u1037\u1001\u103a\u103b\u1019\u103e <strong>avPlots()<\/strong> \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\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load car package\n<span style=\"color: #000000;\">library(car)\n<\/span>\n#produce added variable plots\n<span style=\"color: #000000;\">avPlots(model)<\/span>\n<\/span><\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12861 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ajoutevarplots1.png\" alt=\"R \u1010\u103d\u1004\u103a linear regression \u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1000\u102d\u102f \u1015\u102f\u1036\u1016\u1031\u102c\u103a\u1001\u103c\u1004\u103a\u1038\u104b\" width=\"503\" height=\"507\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u101e\u100a\u103a\u1019\u103e\u102c \u1007\u102c\u1010\u103a\u1000\u103d\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\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\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">x-axis \u101e\u100a\u103a \u1010\u1005\u103a\u1001\u102f\u1010\u100a\u103a\u1038\u101e\u1031\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1000\u102d\u102f\u1015\u103c\u101e\u1015\u103c\u102e\u1038 y-axis \u101e\u100a\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f\u1015\u103c\u101e\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1021\u1015\u103c\u102c\u101b\u1031\u102c\u1004\u103a\u1019\u103b\u1009\u103a\u1038\u101e\u100a\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\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\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a\u104a\u104a <em>\u1021\u1001\u103c\u102c\u1038\u1000\u103c\u102d\u102f\u101f\u1031\u102c\u101e\u1030\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1000\u102d\u1014\u103a\u1038\u101e\u1031\u1021\u1016\u103c\u1005\u103a \u1011\u102d\u1014\u103a\u1038\u1011\u102c\u1038\u1005\u1009\u103a<\/em> \u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1002\u101b\u1015\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u101b\u103e\u102d \u1021\u100a\u103d\u103e\u1014\u103a\u1038\u1010\u1015\u103a\u1011\u102c\u1038\u101e\u1031\u102c\u1021\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u1000\u103c\u102e\u1038\u1006\u102f\u1036\u1038 <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\u1019\u103b\u102c\u1038<\/a> \u1016\u103c\u1004\u1037\u103a <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\u101e\u102f\u1036\u1038\u101e\u1015\u103a\u1001\u103b\u1000\u103a<\/a> 2 \u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1021\u1000\u103c\u102e\u1038\u1006\u102f\u1036\u1038\u1010\u1005\u103a\u1005\u102d\u1010\u103a\u1010\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038\u101c\u103d\u103e\u1019\u103a\u1038\u1019\u102d\u102f\u1038\u1019\u103e\u102f\u101b\u103e\u102d\u101e\u1031\u102c \u101b\u103e\u102f\u1019\u103c\u1004\u103a\u101e\u102f\u1036\u1038\u101e\u1015\u103a\u1001\u103b\u1000\u103a 2 \u1001\u102f\u1000\u102d\u102f \u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1000\u103d\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u101b\u103e\u102d \u1019\u103b\u1009\u103a\u1038\u104f\u1011\u1031\u102c\u1004\u1037\u103a\u101e\u100a\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u104f \u1016\u1031\u102c\u103a\u1000\u102d\u1014\u103a\u1038\u104f \u1014\u102d\u1019\u102d\u1010\u103a\u101c\u1000\u1039\u1001\u100f\u102c\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u1010\u102d\u1015\u103c\u102f\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1024\u101e\u100a\u103a\u1019\u103e\u102c \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u101b\u103e\u102d \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030 \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u1015\u103c\u101e\u1019\u103e\u102f-<\/strong> -0.019232<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>ch:<\/strong> -0.031229<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u101b\u1000\u103a\u1005\u103d\u1032-<\/strong> 2.714975<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><em>disp<\/em> \u1014\u103e\u1004\u1037\u103a <em>hp<\/em> \u1010\u102d\u102f\u1037\u1021\u1010\u103d\u1000\u103a \u1021\u1014\u102f\u1010\u103a\u101c\u1000\u1039\u1001\u100f\u102c\u1016\u103c\u1005\u103a\u1014\u1031\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038\u104a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u104f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u104f \u1014\u102d\u1019\u102d\u1010\u103a\u101c\u1000\u1039\u1001\u100f\u102c\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u101e\u100a\u1037\u103a <em>drat<\/em> \u1021\u1010\u103d\u1000\u103a \u1011\u1015\u103a\u1011\u100a\u1037\u103a\u101e\u1031\u102c variable plot \u1010\u103d\u1004\u103a \u1019\u103b\u1009\u103a\u1038\u104f\u1011\u1031\u102c\u1004\u1037\u103a\u101e\u100a\u103a \u1021\u1015\u103c\u102f\u101e\u1018\u1031\u102c\u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u1010\u102d\u1015\u103c\u102f\u1015\u102b\u104b<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12864 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ajoutevarplots2.png\" alt=\"R \u1010\u103d\u1004\u103a \u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u1000\u103d\u1000\u103a\u1000\u103d\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1011\u100a\u1037\u103a\u101e\u103d\u1004\u103a\u1038\u1001\u103c\u1004\u103a\u1038\u104b\" width=\"473\" height=\"495\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1004\u103a \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u101b\u103e\u102d\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a 2D \u1002\u101b\u1015\u103a\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a \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\u1010\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1019\u1006\u103d\u1032\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038\u104a \u1024\u1011\u100a\u1037\u103a\u101e\u103d\u1004\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1002\u101b\u1015\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u102c\u1038 \u1021\u1001\u103c\u102c\u1038\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\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\u1010\u102d\u102f\u1037\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u101c\u1031\u1037\u101c\u102c\u1014\u102d\u102f\u1004\u103a\u1005\u1031\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a R \u1010\u103d\u1004\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c \u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1015\u103c\u1014\u103a\u1006\u102f\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101e\u1031\u102c\u1021\u1001\u102b\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\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 \u1010\u1005\u103a\u1001\u102f\u1010\u100a\u103a\u1038\u1016\u103c\u1004\u1037\u103a\u101e\u102c \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u1031\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \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 \u1019\u103c\u1004\u103a\u101a\u1031\u102c\u1004\u103a\u101b\u1014\u103a \u101c\u103d\u101a\u103a\u1000\u1030\u1015\u102b\u101e\u100a\u103a\u104b \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c \u1019\u103b\u1009\u103a\u1038\u1016\u103c\u1031\u102c\u1004\u1037\u103a\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1005\u1031\u101b\u1014\u103a \u1016\u1031\u102c\u103a\u1015\u103c\u1015\u103c\u102e\u1038 \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u102f\u1036\u1016\u1031\u102c\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a- #create dataset data &lt;- data.frame(x = c(1, 1, 2, 4, 4, 5, 6, 7, 7, 8, 9, 10, 11, 11), y = c(13, 14, 17, 23, 24, 25, 25, 24, 28, 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