{"id":1245,"date":"2023-07-27T03:48:40","date_gmt":"2023-07-27T03:48:40","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%a8%d9%82%d8%a7%d9%8a%d8%a7-%d9%81%d9%8a-%d8%b5-%d8%b7%d8%a7%d9%84%d8%a8\/"},"modified":"2023-07-27T03:48:40","modified_gmt":"2023-07-27T03:48:40","slug":"%d8%a8%d9%82%d8%a7%d9%8a%d8%a7-%d9%81%d9%8a-%d8%b5-%d8%b7%d8%a7%d9%84%d8%a8","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%a8%d9%82%d8%a7%d9%8a%d8%a7-%d9%81%d9%8a-%d8%b5-%d8%b7%d8%a7%d9%84%d8%a8\/","title":{"rendered":"\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062e\u0644\u0641\u0627\u062a \u0627\u0644\u0637\u0627\u0644\u0628\u064a\u0629 \u0641\u064a r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p style=\";text-align:right;direction:rtl\"><span style=\"color: #000000;\"><strong>\u0627\u0644\u0637\u0627\u0644\u0628 \u0627\u0644\u0645\u062a\u0628\u0642\u064a<\/strong> \u0647\u0648 \u0628\u0628\u0633\u0627\u0637\u0629 \u0627\u0644\u0645\u062a\u0628\u0642\u064a \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u0627\u0646\u062d\u0631\u0627\u0641\u0647 \u0627\u0644\u0645\u0639\u064a\u0627\u0631\u064a \u0627\u0644\u0645\u0642\u062f\u0631.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0645\u0646 \u0627\u0644\u0646\u0627\u062d\u064a\u0629 \u0627\u0644\u0639\u0645\u0644\u064a\u0629\u060c \u0646\u0642\u0648\u0644 \u0628\u0634\u0643\u0644 \u0639\u0627\u0645 \u0623\u0646 \u0623\u064a <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0629-\u0641\u064a-\u0627\u0644\u0627\u0655\u062d\u0635\u0627\u0621\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u0645\u0644\u0627\u062d\u0638\u0629<\/a> \u0641\u064a \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u0643\u0648\u0646 \u0641\u064a\u0647\u0627 \u0627\u0644\u0637\u0627\u0644\u0628 \u0627\u0644\u0645\u062a\u0628\u0642\u064a \u0623\u0643\u0628\u0631 \u0645\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0637\u0644\u0642\u0629 \u0627\u0644\u0628\u0627\u0644\u063a\u0629 3 \u0647\u064a \u0642\u064a\u0645\u0629 \u0645\u062a\u0637\u0631\u0641\u0629.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0645\u0643\u0646\u0646\u0627 \u0628\u0633\u0631\u0639\u0629 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u0628\u0642\u0627\u064a\u0627 \u0627\u0644\u0637\u0644\u0627\u0628\u064a\u0629 \u0644\u0623\u064a \u0646\u0645\u0648\u0630\u062c \u0627\u0646\u062d\u062f\u0627\u0631 \u0641\u064a R \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0648\u0638\u064a\u0641\u0629 <strong>Studres()<\/strong> \u0645\u0646 \u0627\u0644\u062d\u0632\u0645\u0629 MASS\u060c \u0648\u0627\u0644\u062a\u064a \u062a\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0633\u062a\u062f\u0631\u0633 (\u0646\u0645\u0648\u0630\u062c)<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062d\u064a\u062b \u064a\u0645\u062b\u0644 <em>\u0627\u0644\u0646\u0645\u0648\u0630\u062c<\/em> \u0623\u064a \u0646\u0645\u0648\u0630\u062c \u062e\u0637\u064a.<\/span><\/p>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u062b\u0627\u0644: \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062e\u0644\u0641\u0627\u062a \u0627\u0644\u0637\u0627\u0644\u0628\u064a\u0629 \u0641\u064a R<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646\u0646\u0627 \u0642\u0645\u0646\u0627 \u0628\u0628\u0646\u0627\u0621 \u0646\u0645\u0648\u0630\u062c <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631-\u0627\u0644\u062e\u0637\u064a-\u0627\u0644\u0628\u0633\u064a\u0637-\u0641\u064a-\u0635\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0628\u0633\u064a\u0637<\/a> \u0627\u0644\u062a\u0627\u0644\u064a \u0641\u064a R\u060c \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u062c\u0645\u0648\u0639\u0629 \u0628\u064a\u0627\u0646\u0627\u062a <em>mtcars<\/em> \u0627\u0644\u0645\u0636\u0645\u0646\u0629:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#build simple linear regression model<\/span>\nmodel &lt;- lm(mpg ~ disp, data=mtcars)\n<\/strong><\/pre>\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\u062f\u0627\u0644\u0629 <strong>Stures()<\/strong> \u0645\u0646 \u062d\u0632\u0645\u0629 MASS \u0644\u062d\u0633\u0627\u0628 \u0628\u0642\u0627\u064a\u0627 \u0627\u0644\u0637\u0644\u0627\u0628 \u0644\u0643\u0644 \u0645\u0644\u0627\u062d\u0638\u0629 \u0641\u064a \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #993300;\">library<\/span> (MASS)<\/span>\n\n#calculate studentized residuals<\/span>\nstud_resids &lt;- studres(model)\n\n<span style=\"color: #008080;\">#view first three studentized residuals<\/span>\nhead(stud_resids, 3)\n\n    Mazda RX4 Mazda RX4 Wag Datsun 710 \n   -0.6236250 -0.6236250 -0.7405315 \n<\/strong><\/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\u0634\u0627\u0621 \u0645\u062e\u0637\u0637 \u0633\u0631\u064a\u0639 \u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \u0645\u0642\u0627\u0628\u0644 \u0627\u0644\u0645\u062e\u0644\u0641\u0627\u062a \u0627\u0644\u0645\u062f\u0631\u0648\u0633\u0629 \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#plot predictor variable vs. studentized residuals\n<\/span>plot(mtcars$disp, stud_resids, ylab=' <span style=\"color: #008000;\">Studentized Residuals<\/span> ', xlab=' <span style=\"color: #008000;\">Displacement<\/span> ') \n\n<span style=\"color: #008080;\">#add horizontal line at 0\n<\/span>abline(0, 0)<\/strong> <\/pre>\n<p style=\";text-align:right;direction:rtl\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12334 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/etudiant1.png\" alt=\"\u0628\u0642\u0627\u064a\u0627 \u0627\u0644\u0637\u0644\u0627\u0628 \u0641\u064a R\" width=\"449\" height=\"401\" srcset=\"\" sizes=\"\"><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0645\u0646 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0631\u0649 \u0623\u0646 \u0623\u064a\u064b\u0627 \u0645\u0646 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0644\u0627 \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0645\u062a\u0628\u0642\u064a \u0644\u0644\u0637\u0627\u0644\u0628 \u0628\u0642\u064a\u0645\u0629 \u0645\u0637\u0644\u0642\u0629 \u0623\u0643\u0628\u0631 \u0645\u0646 3\u060c \u0644\u0630\u0644\u0643 \u0644\u0627 \u062a\u0648\u062c\u062f \u0642\u064a\u0645 \u0645\u062a\u0637\u0631\u0641\u0629 \u0648\u0627\u0636\u062d\u0629 \u0641\u064a \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u064a\u0636\u064b\u0627 \u0625\u0636\u0627\u0641\u0629 \u0628\u0642\u0627\u064a\u0627 \u0643\u0644 \u0645\u0644\u0627\u062d\u0638\u0629 \u0641\u064a \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0625\u0630\u0627 \u0623\u0631\u062f\u0646\u0627 \u0630\u0644\u0643:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#add studentized residuals to orignal dataset\n<\/span>final_data &lt;- <span style=\"color: #3366ff;\">cbind<\/span> (mtcars[c(' <span style=\"color: #008000;\">mpg<\/span> ', ' <span style=\"color: #008000;\">disp<\/span> ')], stud_resids)\n\n<span style=\"color: #008080;\">#view final dataset\n<\/span>head(final_data)\n\n                   mpg disp stud_resids\nMazda RX4 21.0 160 -0.6236250\nMazda RX4 Wag 21.0 160 -0.6236250\nDatsun 710 22.8 108 -0.7405315\nHornet 4 Drive 21.4 258 0.7556078\nHornet Sportabout 18.7 360 1.2658336\nValiant 18.1 225 -0.6896297<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0645\u0643\u0646\u0646\u0627 \u0628\u0639\u062f \u0630\u0644\u0643 \u0641\u0631\u0632 \u0643\u0644 \u0645\u0644\u0627\u062d\u0638\u0629 \u0645\u0646 \u0627\u0644\u0623\u0643\u0628\u0631 \u0625\u0644\u0649 \u0627\u0644\u0623\u0635\u063a\u0631 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0628\u0642\u0627\u064a\u0627 \u0627\u0644\u0637\u0627\u0644\u0628 \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0647\u0627 \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0641\u0643\u0631\u0629 \u0639\u0646 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0627\u0644\u0623\u0642\u0631\u0628 \u0625\u0644\u0649 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062a\u0637\u0631\u0641\u0629:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#sort studentized residuals descending\n<\/span>final_data[ <span style=\"color: #3366ff;\">order<\/span> (-stud_resids),]\n\n                     mpg disp stud_resids\nToyota Corolla 33.9 71.1 2.52397102\nPontiac Firebird 19.2 400.0 2.06825391\nFiat 128 32.4 78.7 2.03684699\nLotus Europa 30.4 95.1 1.53905536\nHonda Civic 30.4 75.7 1.27099586\nHornet Sportabout 18.7 360.0 1.26583364\nChrysler Imperial 14.7 440.0 1.06486066\nHornet 4 Drive 21.4 258.0 0.75560776\nPorsche 914-2 26.0 120.3 0.42424678\nFiat X1-9 27.3 79.0 0.30183728\nMerc 240D 24.4 146.7 0.26235893\nFord Pantera L 15.8 351.0 0.20825609\nCadillac Fleetwood 10.4 472.0 0.08338531\nLincoln Continental 10.4 460.0 -0.07863385\nDuster 360 14.3 360.0 -0.14476167\nMerc 450SL 17.3 275.8 -0.28759769\nDodge Challenger 15.5 318.0 -0.30826585\nMerc 230 22.8 140.8 -0.30945955\nMerc 450SE 16.4 275.8 -0.56742476\nAMC Javelin 15.2 304.0 -0.58138205\nCamaro Z28 13.3 350.0 -0.58848471\nMazda RX4 Wag 21.0 160.0 -0.62362497\nMazda RX4 21.0 160.0 -0.62362497\nMaserati Bora 15.0 301.0 -0.68315010\nValiant 18.1 225.0 -0.68962974\nDatsun 710 22.8 108.0 -0.74053152\nMerc 450SLC 15.2 275.8 -0.94814699\nToyota Corona 21.5 120.1 -0.99751166\nVolvo 142E 21.4 121.0 -1.01790487\nMerc 280 19.2 167.6 -1.09979261\nFerrari Dino 19.7 145.0 -1.24732999\nMerc 280C 17.8 167.6 -1.57258064\n<\/strong><\/pre>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u0635\u0627\u062f\u0631 \u0625\u0636\u0627\u0641\u064a\u0629<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631-\u0627\u0644\u062e\u0637\u064a-\u0627\u0644\u0628\u0633\u064a\u0637-\u0641\u064a-\u0635\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0628\u0633\u064a\u0637 \u0641\u064a R<\/a><br \/> <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631-\u0627\u0644\u062e\u0637\u064a-\u0627\u0644\u0645\u062a\u0639\u062f\u062f-\u0635\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0645\u062a\u0639\u062f\u062f \u0641\u064a R<\/a><br \/> <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u0627\u0654\u062b\u0631-\u0627\u0644\u0645\u062a\u0628\u0642\u064a-\u0635\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u0643\u064a\u0641\u064a\u0629 \u0625\u0646\u0634\u0627\u0621 \u0642\u0637\u0639\u0629 \u0623\u0631\u0636 \u0645\u062a\u0628\u0642\u064a\u0629 \u0641\u064a R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0627\u0644\u0637\u0627\u0644\u0628 \u0627\u0644\u0645\u062a\u0628\u0642\u064a \u0647\u0648 \u0628\u0628\u0633\u0627\u0637\u0629 \u0627\u0644\u0645\u062a\u0628\u0642\u064a \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u0627\u0646\u062d\u0631\u0627\u0641\u0647 \u0627\u0644\u0645\u0639\u064a\u0627\u0631\u064a \u0627\u0644\u0645\u0642\u062f\u0631. \u0645\u0646 \u0627\u0644\u0646\u0627\u062d\u064a\u0629 \u0627\u0644\u0639\u0645\u0644\u064a\u0629\u060c \u0646\u0642\u0648\u0644 \u0628\u0634\u0643\u0644 \u0639\u0627\u0645 \u0623\u0646 \u0623\u064a \u0645\u0644\u0627\u062d\u0638\u0629 \u0641\u064a \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u0643\u0648\u0646 \u0641\u064a\u0647\u0627 \u0627\u0644\u0637\u0627\u0644\u0628 \u0627\u0644\u0645\u062a\u0628\u0642\u064a \u0623\u0643\u0628\u0631 \u0645\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0637\u0644\u0642\u0629 \u0627\u0644\u0628\u0627\u0644\u063a\u0629 3 \u0647\u064a \u0642\u064a\u0645\u0629 \u0645\u062a\u0637\u0631\u0641\u0629. \u064a\u0645\u0643\u0646\u0646\u0627 \u0628\u0633\u0631\u0639\u0629 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u0628\u0642\u0627\u064a\u0627 \u0627\u0644\u0637\u0644\u0627\u0628\u064a\u0629 \u0644\u0623\u064a \u0646\u0645\u0648\u0630\u062c \u0627\u0646\u062d\u062f\u0627\u0631 \u0641\u064a R \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0648\u0638\u064a\u0641\u0629 Studres() \u0645\u0646 \u0627\u0644\u062d\u0632\u0645\u0629 MASS\u060c \u0648\u0627\u0644\u062a\u064a \u062a\u0633\u062a\u062e\u062f\u0645 [&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 site is optimized with the Yoast SEO plugin v21.5 - 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