{"id":3906,"date":"2023-07-14T20:16:38","date_gmt":"2023-07-14T20:16:38","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%b7%d8%b1%d9%8a%d9%82%d8%a9-%d8%a7%d9%84%d9%85%d8%b1%d8%a8%d8%b9%d8%a7%d8%aa-%d8%a7%d9%84%d8%b5%d8%ba%d8%b1%d9%89-%d9%81%d9%8a-r\/"},"modified":"2023-07-14T20:16:38","modified_gmt":"2023-07-14T20:16:38","slug":"%d8%b7%d8%b1%d9%8a%d9%82%d8%a9-%d8%a7%d9%84%d9%85%d8%b1%d8%a8%d8%b9%d8%a7%d8%aa-%d8%a7%d9%84%d8%b5%d8%ba%d8%b1%d9%89-%d9%81%d9%8a-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%b7%d8%b1%d9%8a%d9%82%d8%a9-%d8%a7%d9%84%d9%85%d8%b1%d8%a8%d8%b9%d8%a7%d8%aa-%d8%a7%d9%84%d8%b5%d8%ba%d8%b1%d9%89-%d9%81%d9%8a-r\/","title":{"rendered":"\u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0635\u063a\u0631\u0649 \u0641\u064a r"},"content":{"rendered":"<hr>\n<p style=\";text-align:right;direction:rtl\"><span style=\"color: #000000;\"><strong>\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0635\u063a\u0631\u0649<\/strong> \u0647\u064a \u0637\u0631\u064a\u0642\u0629 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u062e\u0637 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u0630\u064a \u064a\u0646\u0627\u0633\u0628 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0639\u064a\u0646\u0629 \u0645\u0646 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0635\u063a\u0631\u0649 \u0644\u0645\u0644\u0627\u0621\u0645\u0629 \u062e\u0637 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0641\u064a R\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 <strong>lm()<\/strong> .<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062a\u0633\u062a\u062e\u062f\u0645 \u0647\u0630\u0647 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0628\u0646\u0627\u0621 \u0627\u0644\u062c\u0645\u0644\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a \u0627\u0644\u062a\u0627\u0644\u064a:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>model &lt;- lm(response ~ predictor, data=df)\n<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0648\u0636\u062d \u0627\u0644\u0645\u062b\u0627\u0644 \u0627\u0644\u062a\u0627\u0644\u064a \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0647\u0630\u0647 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0641\u064a R.<\/span><\/p>\n<h2 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u062b\u0627\u0644: \u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0635\u063a\u0631\u0649 \u0641\u064a R<\/strong><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 \u0644\u062f\u064a\u0646\u0627 \u0625\u0637\u0627\u0631 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a \u0641\u064a R \u0627\u0644\u0630\u064a \u064a\u0648\u0636\u062d \u0639\u062f\u062f \u0627\u0644\u0633\u0627\u0639\u0627\u062a \u0627\u0644\u0645\u062f\u0631\u0648\u0633\u0629 \u0648\u062f\u0631\u062c\u0629 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629 \u0644\u0640 15 \u0637\u0627\u0644\u0628\u064b\u0627 \u0641\u064a \u0627\u0644\u0641\u0635\u0644:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (hours=c(1, 2, 4, 5, 5, 6, 6, 7, 8, 10, 11, 11, 12, 12, 14),\n                 score=c(64, 66, 76, 73, 74, 81, 83, 82, 80, 88, 84, 82, 91, 93, 89))\n\n<span style=\"color: #008080;\">#view first six rows of data frame\n<\/span>head(df)\n\n  hours score\n1 1 64\n2 2 66\n3 4 76\n4 5 73\n5 5 74\n6 6 81\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>lm()<\/strong> \u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0635\u063a\u0631\u0649 \u0644\u0645\u0644\u0627\u0621\u0645\u0629 \u062e\u0637 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0645\u0639 \u0647\u0630\u0647 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#use method of least squares to fit regression line\n<\/span>model &lt;- lm(score ~ hours, data=df)\n\n<span style=\"color: #008080;\">#view regression model summary<\/span>\nsummary(model)\n\nCall:\nlm(formula = score ~ hours, data = df)\n\nResiduals:\n   Min 1Q Median 3Q Max \n-5,140 -3,219 -1,193 2,816 5,772 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 65,334 2,106 31,023 1.41e-13 ***\nhours 1.982 0.248 7.995 2.25e-06 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 3.641 on 13 degrees of freedom\nMultiple R-squared: 0.831, Adjusted R-squared: 0.818 \nF-statistic: 63.91 on 1 and 13 DF, p-value: 2.253e-06\n<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0645\u0646 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0639\u0645\u0648\u062f \u0627\u0644\u0646\u062a\u064a\u062c\u0629 <strong>\u0627\u0644\u0645\u0642\u062f\u0631\u0629<\/strong> \u064a\u0645\u0643\u0646\u0646\u0627 \u0643\u062a\u0627\u0628\u0629 \u062e\u0637 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u0645\u062c\u0647\u0632 \u0627\u0644\u062a\u0627\u0644\u064a:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062f\u0631\u062c\u0629 \u0627\u0644\u0627\u0645\u062a\u062d\u0627\u0646 = 65.334 + 1.982 (\u0633\u0627\u0639\u0629)<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u0643\u064a\u0641\u064a\u0629 \u062a\u0641\u0633\u064a\u0631 \u0643\u0644 \u0645\u0639\u0627\u0645\u0644 \u0641\u064a \u0627\u0644\u0646\u0645\u0648\u0630\u062c:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0639\u062a\u0631\u0627\u0636<\/strong> : \u0644\u0644\u0637\u0627\u0644\u0628 \u0627\u0644\u0630\u064a \u064a\u062f\u0631\u0633 0 \u0633\u0627\u0639\u0629 \u062f\u0631\u062c\u0629 \u0627\u0644\u0627\u0645\u062a\u062d\u0627\u0646 \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \u0647\u064a <strong>65.334<\/strong> .<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u0633\u0627\u0639\u0627\u062a<\/strong> : \u0645\u0642\u0627\u0628\u0644 \u0643\u0644 \u0633\u0627\u0639\u0629 \u0625\u0636\u0627\u0641\u064a\u0629 \u062a\u062f\u0631\u0633\u0647\u0627 \u062a\u0632\u064a\u062f \u062f\u0631\u062c\u0629 \u0627\u0644\u0627\u0645\u062a\u062d\u0627\u0646 \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \u0628\u0645\u0642\u062f\u0627\u0631 <strong>1,982<\/strong> .<\/span><\/li>\n<\/ul>\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 \u0647\u0630\u0647 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0644\u062a\u0642\u062f\u064a\u0631 \u062f\u0631\u062c\u0629 \u0627\u0644\u0627\u0645\u062a\u062d\u0627\u0646 \u0627\u0644\u062a\u064a \u0633\u064a\u062d\u0635\u0644 \u0639\u0644\u064a\u0647\u0627 \u0627\u0644\u0637\u0627\u0644\u0628 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0633\u0627\u0639\u0627\u062a \u062f\u0631\u0627\u0633\u062a\u0647.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0637\u0627\u0644\u0628 \u064a\u062f\u0631\u0633 \u0644\u0645\u062f\u0629 5 \u0633\u0627\u0639\u0627\u062a\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0642\u062f\u0631 \u0623\u0646 \u062f\u0631\u062c\u0629 \u0627\u0645\u062a\u062d\u0627\u0646\u0647 \u0633\u062a\u0643\u0648\u0646 75.244:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062f\u0631\u062c\u0629 \u0627\u0644\u0627\u0645\u062a\u062d\u0627\u0646 = 65.334 + 1.982(5) = 75.244<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0625\u0646\u0634\u0627\u0621 \u0645\u062e\u0637\u0637 \u0645\u0628\u0639\u062b\u0631 \u0644\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062e\u0637 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u0645\u0646\u0627\u0633\u0628 \u0627\u0644\u0645\u062a\u0631\u0627\u0643\u0628 \u0639\u0644\u0649 \u0627\u0644\u0645\u062e\u0637\u0637:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create scatter plot of data\n<\/span>plot(df$hours, df$score, pch=16, col=' <span style=\"color: #ff0000;\">steelblue<\/span> ')\n\n<span style=\"color: #008080;\">#add fitted regression line to scatter plot\n<\/span>abline(model)\n<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-31432 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/methode1.jpg\" sizes=\"\" srcset=\"\" alt=\"\" width=\"494\" height=\"453\"><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062a\u0645\u062b\u0644 \u0627\u0644\u062f\u0648\u0627\u0626\u0631 \u0627\u0644\u0632\u0631\u0642\u0627\u0621 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0648\u064a\u0645\u062b\u0644 \u0627\u0644\u062e\u0637 \u0627\u0644\u0623\u0633\u0648\u062f \u062e\u0637 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u0645\u062c\u0647\u0632.<\/span><\/p>\n<h2 style=\";text-align:right;direction:rtl\"> <strong><span style=\"color: #000000;\">\u0645\u0635\u0627\u062f\u0631 \u0625\u0636\u0627\u0641\u064a\u0629<\/span><\/strong><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062a\u0634\u0631\u062d \u0627\u0644\u0628\u0631\u0627\u0645\u062c \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0643\u064a\u0641\u064a\u0629 \u062a\u0646\u0641\u064a\u0630 \u0627\u0644\u0645\u0647\u0627\u0645 \u0627\u0644\u0634\u0627\u0626\u0639\u0629 \u0627\u0644\u0623\u062e\u0631\u0649 \u0641\u064a R:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u0627\u0654\u062b\u0631-\u0627\u0644\u0645\u062a\u0628\u0642\u064a-\u0635\/\" target=\"_blank\" rel=\"noopener\">\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><br \/><a href=\"https:\/\/statorials.org\/ar\/\u0645\u062a\u0639\u062f\u062f-\u0627\u0644\u062e\u0637\u064a\u0629-\u0641\u064a-\u0635\/\" target=\"_blank\" rel=\"noopener\">\u0643\u064a\u0641\u064a\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u062a\u0639\u062f\u062f\u064a\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0641\u064a R<\/a><br \/> <a href=\"https:\/\/statorials.org\/ar\/\u062a\u0639\u062f\u064a\u0644-\u0645\u0646\u062d\u0646\u0649-r\/\" target=\"_blank\" rel=\"noopener\">\u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u062a\u0631\u0643\u064a\u0628 \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0641\u064a R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0635\u063a\u0631\u0649 \u0647\u064a \u0637\u0631\u064a\u0642\u0629 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u062e\u0637 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u0630\u064a \u064a\u0646\u0627\u0633\u0628 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0639\u064a\u0646\u0629 \u0645\u0646 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a. \u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0635\u063a\u0631\u0649 \u0644\u0645\u0644\u0627\u0621\u0645\u0629 \u062e\u0637 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0641\u064a R\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 lm() . \u062a\u0633\u062a\u062e\u062f\u0645 \u0647\u0630\u0647 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0628\u0646\u0627\u0621 \u0627\u0644\u062c\u0645\u0644\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a \u0627\u0644\u062a\u0627\u0644\u064a: model &lt;- lm(response ~ predictor, data=df) \u064a\u0648\u0636\u062d \u0627\u0644\u0645\u062b\u0627\u0644 \u0627\u0644\u062a\u0627\u0644\u064a \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0647\u0630\u0647 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0641\u064a R. \u0645\u062b\u0627\u0644: \u0637\u0631\u064a\u0642\u0629 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