{"id":1333,"date":"2023-07-26T20:21:26","date_gmt":"2023-07-26T20:21:26","guid":{"rendered":"https:\/\/statorials.org\/my\/r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-%e1%80%9c%e1%80%b1%e1%80%b8%e1%80%91%e1%80%b1%e1%80%ac%e1%80%84%e1%80%b7%e1%80%ba%e1%80%a1%e1%80%94%e1%80%8a%e1%80%ba%e1%80%b8%e1%80%86%e1%80%af%e1%80%b6\/"},"modified":"2023-07-26T20:21:26","modified_gmt":"2023-07-26T20:21:26","slug":"r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-%e1%80%9c%e1%80%b1%e1%80%b8%e1%80%91%e1%80%b1%e1%80%ac%e1%80%84%e1%80%b7%e1%80%ba%e1%80%a1%e1%80%94%e1%80%8a%e1%80%ba%e1%80%b8%e1%80%86%e1%80%af%e1%80%b6","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-%e1%80%9c%e1%80%b1%e1%80%b8%e1%80%91%e1%80%b1%e1%80%ac%e1%80%84%e1%80%b7%e1%80%ba%e1%80%a1%e1%80%94%e1%80%8a%e1%80%ba%e1%80%b8%e1%80%86%e1%80%af%e1%80%b6\/","title":{"rendered":"R \u1010\u103d\u1004\u103a \u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038 \u1005\u1010\u102f\u101b\u1014\u103a\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/linear-regression-\u101a\u1030\u1006\u1001\u103b\u1000\u103a\/\" target=\"_blank\" rel=\"noopener\">linear regression \u104f \u1021\u1013\u102d\u1000 \u101a\u1030\u1006\u1001\u103b\u1000\u103a<\/a> \u1010\u1005\u103a\u1001\u102f\u1019\u103e\u102c <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\u1000\u102d\u102f<\/a> \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 \u1021\u1006\u1004\u1037\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1010\u103d\u1004\u103a \u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1016\u103c\u1004\u1037\u103a \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1015\u1031\u1038\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1000\u102d\u102f <strong>homoscedasticity<\/strong> \u101f\u102f\u1001\u1031\u102b\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1019\u101c\u1031\u1038\u1005\u102c\u1038\u1015\u102b\u1000 <a href=\"https:\/\/statorials.org\/my\/heteroscedasticity-\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener\">\u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021<\/a> \u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u101b\u103e\u102d\u1014\u1031\u101e\u100a\u103a\u101f\u102f \u1006\u102d\u102f\u1015\u102b\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u101e\u102d\u102f\u1037\u1016\u103c\u1005\u103a\u101c\u102c\u101e\u1031\u102c\u1021\u1001\u102b\u104a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1005\u102d\u1010\u103a\u1001\u103b\u101b\u1001\u103c\u1004\u103a\u1038\u1019\u101b\u103e\u102d\u1015\u1031\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1015\u103c\u103f\u1014\u102c\u1000\u102d\u102f\u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u101b\u1014\u103a\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1019\u103e\u102c \u1021\u1019\u103e\u102c\u1038\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1014\u100a\u103a\u1038\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\">\u101c\u1031\u1037\u101c\u102c\u101e\u102f\u1036\u1038\u101e\u1015\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038<\/a> \u1021\u1010\u103d\u1000\u103a \u1021\u101c\u1031\u1038\u1019\u103b\u102c\u1038\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1015\u1031\u1038\u101e\u100a\u1037\u103a <strong>\u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f<\/strong> \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1021\u1019\u103e\u102c\u1038\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1014\u100a\u103a\u1038\u1015\u102b\u1038\u101e\u1030\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1015\u102d\u102f\u1019\u102d\u102f\u101b\u101b\u103e\u102d\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u1010\u103d\u1004\u103a\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1015\u102d\u102f\u1019\u102d\u102f\u1015\u102b\u101d\u1004\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u1010\u103d\u1004\u103a \u1021\u1019\u103e\u102c\u1038\u1021\u101a\u103d\u1004\u103a\u1038\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1015\u102d\u102f\u1019\u103b\u102c\u1038\u101e\u1031\u102c\u101c\u1031\u1037\u101c\u102c\u101e\u102f\u1036\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a\u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a R \u1010\u103d\u1004\u103a \u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102f\u1036\u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a\u1000\u102d\u102f \u1025\u1015\u1019\u102c\u1015\u1031\u1038\u1011\u102c\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\u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a \u101e\u1004\u103a\u1000\u103c\u102c\u1038\u1001\u1032\u1037\u101e\u100a\u1037\u103a \u1014\u102c\u101b\u102e\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038 16 \u1026\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u1019\u103e\u1010\u103a\u1019\u103b\u102c\u1038\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u1012\u1031\u1010\u102c\u1018\u1031\u102c\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>df &lt;- data.frame(hours=c(1, 1, 2, 2, 2, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 8),\n                 score=c(48, 78, 72, 70, 66, 92, 93, 75, 75, 80, 95, 97, 90, 96, 99, 99))\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 2- Linear Regression \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <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 \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\u1021\u1016\u103c\u1005\u103a \u1014\u102c\u101b\u102e\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1000\u102c <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> \u1021\u1016\u103c\u1005\u103a \u101b\u1019\u103e\u1010\u103a\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\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\">\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\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> \u1014\u103e\u1004\u1037\u103a\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u101b\u1014\u103a <strong>lm()<\/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\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit simple linear regression model\n<\/span>model &lt;- lm(score ~ hours, data = df)\n\n<span style=\"color: #008080;\">#view summary of model\n<\/span>summary(model)\n\nCall:\nlm(formula = score ~ hours, data = df)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-17,967 -5,970 -0.719 7,531 15,032 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 60,467 5,128 11,791 1.17e-08 ***\nhours 5,500 1,127 4,879 0.000244 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 9.224 on 14 degrees of freedom\nMultiple R-squared: 0.6296, Adjusted R-squared: 0.6032 \nF-statistic: 23.8 on 1 and 14 DF, p-value: 0.0002438\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 3- \u1019\u103b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u101c\u102d\u102f\u1000\u103a\u1001\u103c\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <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\u103b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u101c\u102d\u102f\u1000\u103a\u1001\u103c\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u1021\u1019\u103c\u1004\u103a\u1021\u102c\u101b\u102f\u1036\u1016\u103c\u1004\u1037\u103a \u1005\u1005\u103a\u1006\u1031\u1038\u101b\u1014\u103a \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1000\u103d\u1000\u103a\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1010\u1015\u103a\u1006\u1004\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\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 residual vs. fitted plot\n<\/span>plot( <span style=\"color: #3366ff;\">fitted<\/span> (model), <span style=\"color: #3366ff;\">resid<\/span> (model), xlab=' <span style=\"color: #008000;\">Fitted Values<\/span> ', ylab=' <span style=\"color: #008000;\">Residuals<\/span> ')\n\n<span style=\"color: #008080;\">#add a horizontal line at 0 \n<\/span>abline(0,0)<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13025 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/wls1.png\" alt=\"\" width=\"429\" height=\"391\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a &#8220; \u1015\u102f\u1036\u1038\u1015\u102f\u1036&#8221;  \u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u101b\u103e\u102d\u101e\u100a\u103a\u1000\u102d\u102f \u1002\u101b\u1015\u103a\u1016\u103a\u1019\u103e\u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a- \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1002\u101b\u1015\u103a\u1010\u1005\u103a\u101c\u103b\u103e\u1031\u102c\u1000\u103a\u101c\u102f\u1036\u1038\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1016\u103c\u1004\u1037\u103a \u1019\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1019\u103b\u102d\u102f\u1038\u1000\u103d\u1032\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a\u1010\u101b\u102c\u1038\u101d\u1004\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a Breusch-Pagan \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load lmtest package\n<\/span><span style=\"color: #993300;\">library<\/span> (lmtest)\n\n<span style=\"color: #008080;\">#perform Breusch-Pagan test<\/span>\nbptest(model)\n\n\tstudentized Breusch-Pagan test\n\ndata: model\nBP = 3.9597, df = 1, p-value = 0.0466\n<\/strong><\/pre>\n<p> Breusch-Pagan \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u103d\u1004\u103a <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b null \u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103c\u102c\u1038\u1021\u1001\u103c\u102c\u1038\u101e\u1031\u102c<\/span> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038-\u1041\/\" target=\"_blank\" rel=\"noopener\">\u1021\u101a\u1030\u1021\u1006\u1019\u103b\u102c\u1038\u1000\u102d\u102f<\/a><\/span> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a \u104b<\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Null hypothesis (H <sub>0<\/sub> ) :<\/strong> homoscedasticity \u101b\u103e\u102d\u1014\u1031\u101e\u100a\u103a (\u1000\u103b\u1014\u103a\u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1016\u103c\u1004\u1037\u103a \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u101e\u100a\u103a)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u1021\u1005\u102c\u1038\u1011\u102d\u102f\u1038 \u1021\u101a\u1030\u1021\u1006 ( <sub>HA<\/sub> ) :<\/strong> heteroscedasticity \u101b\u103e\u102d\u1014\u1031\u101e\u100a\u103a (\u1000\u103b\u1014\u103a\u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1016\u103c\u1004\u1037\u103a \u1019\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1015\u102b)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u104f p-value \u101e\u100a\u103a <strong>0.0466<\/strong> \u1016\u103c\u1005\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1015\u103c\u102e\u1038 heteroscedasticity \u101e\u100a\u103a \u1024\u1015\u102f\u1036\u1005\u1036\u1010\u103d\u1004\u103a \u1015\u103c\u103f\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 4- \u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1000\u102d\u102f\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">heteroscedasticity \u101b\u103e\u102d\u1014\u1031\u1015\u103c\u102e\u1016\u103c\u1005\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1021\u1031\u102c\u1000\u103a\u1015\u102d\u102f\u1004\u103a\u1038\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1016\u103c\u1004\u1037\u103a \u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1015\u102d\u102f\u1019\u102d\u102f\u101b\u101b\u103e\u102d\u1005\u1031\u101e\u100a\u1037\u103a \u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038 \u101c\u1031\u1038\u1011\u1031\u102c\u1004\u1037\u103a\u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#define weights to use\n<\/span>wt &lt;- 1 \/ lm( <span style=\"color: #3366ff;\">abs<\/span> (model$residuals) ~ model$fitted. <span style=\"color: #3366ff;\">values<\/span> )$fitted. <span style=\"color: #3366ff;\">values<\/span> ^2\n\n<span style=\"color: #008080;\">#perform weighted least squares regression\n<\/span>wls_model &lt;- lm(score ~ hours, data = df, weights=wt)\n\n<span style=\"color: #008080;\">#view summary of model\n<\/span>summary(wls_model)\n\nCall:\nlm(formula = score ~ hours, data = df, weights = wt)\n\nWeighted Residuals:\n    Min 1Q Median 3Q Max \n-2.0167 -0.9263 -0.2589 0.9873 1.6977 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 63.9689 5.1587 12.400 6.13e-09 ***\nhours 4.7091 0.8709 5.407 9.24e-05 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 1.199 on 14 degrees of freedom\nMultiple R-squared: 0.6762, Adjusted R-squared: 0.6531 \nF-statistic: 29.24 on 1 and 14 DF, p-value: 9.236e-05\n<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1019\u103e\u104a <em>\u1014\u102c\u101b\u102e<\/em> \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1015\u1031\u1038\u101e\u1030 variable \u1021\u1010\u103d\u1000\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038 \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u1021\u1014\u100a\u103a\u1038\u1004\u101a\u103a \u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u101e\u103d\u102c\u1038\u1015\u103c\u102e\u1038 \u1021\u101c\u102f\u1036\u1038\u1005\u102f\u1036 \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1014\u103e\u1004\u1037\u103a \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b \u1010\u102d\u102f\u1038\u1010\u1000\u103a\u101c\u102c\u101e\u100a\u103a\u1000\u102d\u102f \u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u101e\u100a\u103a \u1019\u1030\u101c\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\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\u1010\u103d\u1004\u103a <strong>9.224<\/strong> \u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1015\u102b\u1000 \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c\u1005\u1036\u1014\u103e\u102f\u1014\u103a\u1038\u1021\u1019\u103e\u102c\u1038 <strong>1.199<\/strong> \u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103e\u1011\u102f\u1010\u103a\u101c\u102f\u1015\u103a\u101e\u1031\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c linear regression model \u1019\u103e\u1011\u102f\u1010\u103a\u101c\u102f\u1015\u103a\u101e\u1031\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1015\u102b\u1000 \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\u1014\u103e\u1004\u1037\u103a \u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1014\u102e\u1038\u1005\u1015\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u100a\u103d\u103e\u1014\u103a\u1015\u103c\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1015\u102f\u1036\u1005\u1036\u1010\u103d\u1004\u103a \u1019\u1030\u101c\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\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\u101b\u103e\u102d <strong>0.6296<\/strong> \u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1015\u102b\u1000 R-squared <strong>0.6762<\/strong> \u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1015\u102f\u1036\u1005\u1036\u101e\u100a\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\u1011\u1000\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u1019\u103e\u1010\u103a\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1015\u102d\u102f\u1019\u102d\u102f\u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u1016\u1031\u102c\u103a\u1015\u103c\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1021\u101b \u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1015\u102f\u1036\u1005\u1036\u101e\u100a\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c linear regression model \u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1015\u102b\u1000 data \u1014\u103e\u1004\u1037\u103a \u1015\u102d\u102f\u1019\u102d\u102f\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1019\u103e\u102f\u101b\u103e\u102d\u101e\u100a\u103a\u1000\u102d\u102f \u1016\u1031\u102c\u103a\u1015\u103c\u101e\u100a\u103a\u104b<\/span><\/p>\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\/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\">R \u1010\u103d\u1004\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c linear regression \u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/multiple-linear-regression-r\/\" target=\"_blank\" rel=\"noopener\">R \u1010\u103d\u1004\u103a linear regression \u1021\u1019\u103b\u102c\u1038\u1021\u1015\u103c\u102c\u1038\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a-\u1015\u1019\u102c\u100f-\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener\">R \u1010\u103d\u1004\u103a Quantile Regression \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>linear regression \u104f \u1021\u1013\u102d\u1000 \u101a\u1030\u1006\u1001\u103b\u1000\u103a \u1010\u1005\u103a\u1001\u102f\u1019\u103e\u102c \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\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 \u1021\u1006\u1004\u1037\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1010\u103d\u1004\u103a \u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1016\u103c\u1004\u1037\u103a \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1015\u1031\u1038\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1000\u102d\u102f homoscedasticity \u101f\u102f\u1001\u1031\u102b\u103a\u101e\u100a\u103a\u104b \u1024\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1019\u101c\u1031\u1038\u1005\u102c\u1038\u1015\u102b\u1000 \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021 \u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u101b\u103e\u102d\u1014\u1031\u101e\u100a\u103a\u101f\u102f \u1006\u102d\u102f\u1015\u102b\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u101e\u102d\u102f\u1037\u1016\u103c\u1005\u103a\u101c\u102c\u101e\u1031\u102c\u1021\u1001\u102b\u104a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1005\u102d\u1010\u103a\u1001\u103b\u101b\u1001\u103c\u1004\u103a\u1038\u1019\u101b\u103e\u102d\u1015\u1031\u104b \u1024\u1015\u103c\u103f\u1014\u102c\u1000\u102d\u102f\u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u101b\u1014\u103a\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1019\u103e\u102c \u1021\u1019\u103e\u102c\u1038\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1014\u100a\u103a\u1038\u101e\u1031\u102c \u101c\u1031\u1037\u101c\u102c\u101e\u102f\u1036\u1038\u101e\u1015\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038 \u1021\u1010\u103d\u1000\u103a \u1021\u101c\u1031\u1038\u1019\u103b\u102c\u1038\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1015\u1031\u1038\u101e\u100a\u1037\u103a \u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1021\u1019\u103e\u102c\u1038\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1014\u100a\u103a\u1038\u1015\u102b\u1038\u101e\u1030\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1015\u102d\u102f\u1019\u102d\u102f\u101b\u101b\u103e\u102d\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u1010\u103d\u1004\u103a\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1015\u102d\u102f\u1019\u102d\u102f\u1015\u102b\u101d\u1004\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u1010\u103d\u1004\u103a \u1021\u1019\u103e\u102c\u1038\u1021\u101a\u103d\u1004\u103a\u1038\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1015\u102d\u102f\u1019\u103b\u102c\u1038\u101e\u1031\u102c\u101c\u1031\u1037\u101c\u102c\u101e\u102f\u1036\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a\u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1015\u102b\u104b \u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a R \u1010\u103d\u1004\u103a \u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102f\u1036\u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a\u1000\u102d\u102f \u1025\u1015\u1019\u102c\u1015\u1031\u1038\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1021\u1006\u1004\u1037\u103a 1: \u1012\u1031\u1010\u102c\u1000\u102d\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a \u101e\u1004\u103a\u1000\u103c\u102c\u1038\u1001\u1032\u1037\u101e\u100a\u1037\u103a \u1014\u102c\u101b\u102e\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038 16 \u1026\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u1019\u103e\u1010\u103a\u1019\u103b\u102c\u1038\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u1012\u1031\u1010\u102c\u1018\u1031\u102c\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u101e\u100a\u103a- df &lt;- [&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 \u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038 \u1005\u1010\u102f\u101b\u1014\u103a\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a 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content=\"my_MM\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R \u1010\u103d\u1004\u103a \u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038 \u1005\u1010\u102f\u101b\u1014\u103a\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\" \/>\n<meta property=\"og:description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a\u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1021\u1015\u102b\u1021\u101d\u1004\u103a R \u1010\u103d\u1004\u103a 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