{"id":1469,"date":"2023-07-26T06:28:59","date_gmt":"2023-07-26T06:28:59","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%b7%d8%a7%d9%8a%d9%94%d8%b1%d8%a9-%d8%a7%d9%94%d8%b3%d8%b1%d8%b9-%d9%85%d9%86-%d8%a7%d9%84%d8%b5%d9%88%d8%aa-ssr-sse-%d9%81%d9%8a-%d8%b5\/"},"modified":"2023-07-26T06:28:59","modified_gmt":"2023-07-26T06:28:59","slug":"%d8%b7%d8%a7%d9%8a%d9%94%d8%b1%d8%a9-%d8%a7%d9%94%d8%b3%d8%b1%d8%b9-%d9%85%d9%86-%d8%a7%d9%84%d8%b5%d9%88%d8%aa-ssr-sse-%d9%81%d9%8a-%d8%b5","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%b7%d8%a7%d9%8a%d9%94%d8%b1%d8%a9-%d8%a7%d9%94%d8%b3%d8%b1%d8%b9-%d9%85%d9%86-%d8%a7%d9%84%d8%b5%d9%88%d8%aa-ssr-sse-%d9%81%d9%8a-%d8%b5\/","title":{"rendered":"\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 sst \u0648ssr \u0648sse \u0641\u064a r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p style=\";text-align:right;direction:rtl\"><span style=\"color: #000000;\">\u063a\u0627\u0644\u0628\u064b\u0627 \u0645\u0627 \u0646\u0633\u062a\u062e\u062f\u0645 \u062b\u0644\u0627\u062b\u0629 <a href=\"https:\/\/statorials.org\/ar\/\u0637\u0627\u064a\u0654\u0631\u0629-\u0627\u0654\u0633\u0631\u0639-\u0645\u0646-\u0627\u0644\u0635\u0648\u062a-ssr\/\" target=\"_blank\" rel=\"noopener\">\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629 \u0645\u0646 \u0642\u064a\u0645 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a<\/a> \u0644\u0642\u064a\u0627\u0633 \u0645\u062f\u0649 \u0645\u0644\u0627\u0621\u0645\u0629 <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631-\u0627\u0644\u062e\u0637\u064a-1\/\" target=\"_blank\" rel=\"noopener\">\u062e\u0637 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631<\/a> \u0644\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;\"><strong>1. \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0625\u062c\u0645\u0627\u0644\u064a\u0629 (SST) \u2013<\/strong> \u0645\u062c\u0645\u0648\u0639 \u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0627\u062e\u062a\u0644\u0627\u0641\u0627\u062a \u0628\u064a\u0646 \u0646\u0642\u0627\u0637 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0641\u0631\u062f\u064a\u0629 (y <sub>i<\/sub> ) \u0648\u0645\u062a\u0648\u0633\u0637 \u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 ( <span style=\"border-top: 1px solid black;\">y<\/span> ).<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062f\u0631\u062c\u0629 \u062d\u0631\u0627\u0631\u0629 \u0633\u0637\u062d \u0627\u0644\u0628\u062d\u0631 = \u03a3(\u0635 <sub>\u0637<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">\u0630<\/span> ) <sup>2<\/sup><\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>2. \u0627\u0646\u062d\u062f\u0627\u0631 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a (SSR)<\/strong> \u2013 \u0645\u062c\u0645\u0648\u0639 \u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0627\u062e\u062a\u0644\u0627\u0641\u0627\u062a \u0628\u064a\u0646 \u0646\u0642\u0627\u0637 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 (\u0177 <sub>i<\/sub> ) \u0648\u0645\u062a\u0648\u0633\u0637 \u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 ( <span style=\"border-top: 1px solid black;\">y<\/span> ).<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">SSR = \u03a3(\u0177 <sub>i<\/sub> &#8211; <span style=\"border-top: 1px solid black;\">y<\/span> ) <sup>2<\/sup><\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>3. \u0645\u062c\u0645\u0648\u0639 \u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u062e\u0637\u0623 (SSE)<\/strong> \u2013 \u0645\u062c\u0645\u0648\u0639 \u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0627\u062e\u062a\u0644\u0627\u0641\u0627\u062a \u0628\u064a\u0646 \u0646\u0642\u0627\u0637 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 (\u0177 <sub>i<\/sub> ) \u0648\u0646\u0642\u0627\u0637 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u0631\u0635\u0648\u062f\u0629 (y <sub>i<\/sub> ).<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">SSE = \u03a3(\u0177 <sub>i<\/sub> \u2013 y <sub>i<\/sub> ) <sup>2<\/sup><\/span><\/li>\n<\/ul>\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 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0643\u0644 \u0645\u0646 \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u064a\u064a\u0633 \u0644\u0646\u0645\u0648\u0630\u062c \u0627\u0646\u062d\u062f\u0627\u0631 \u0645\u062d\u062f\u062f \u0641\u064a R.<\/span><\/p>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u062e\u0637\u0648\u0629 1: \u0625\u0646\u0634\u0627\u0621 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0623\u0648\u0644\u0627\u064b\u060c \u0644\u0646\u0642\u0645 \u0628\u0625\u0646\u0634\u0627\u0621 \u0645\u062c\u0645\u0648\u0639\u0629 \u0628\u064a\u0627\u0646\u0627\u062a \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0639\u062f\u062f \u0633\u0627\u0639\u0627\u062a \u0627\u0644\u062f\u0631\u0627\u0633\u0629 \u0648\u062f\u0631\u062c\u0627\u062a \u0627\u0644\u0627\u0645\u062a\u062d\u0627\u0646\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u064a\u0647\u0627 \u0644\u0640 20 \u0637\u0627\u0644\u0628\u064b\u0627 \u0645\u062e\u062a\u0644\u0641\u064b\u0627 \u0641\u064a \u0643\u0644\u064a\u0629 \u0645\u0639\u064a\u0646\u0629:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame<\/span>\ndf &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (hours=c(1, 1, 1, 2, 2, 2, 2, 2, 3, 3,\n                         3, 4, 4, 4, 5, 5, 6, 7, 7, 8),\n                 score=c(68, 76, 74, 80, 76, 78, 81, 84, 86, 83,\n                         88, 85, 89, 94, 93, 94, 96, 89, 92, 97))\n\n<span style=\"color: #008080;\">#view first six rows of data frame\n<\/span>head(df)\n\n  hours score\n1 1 68\n2 1 76\n3 1 74\n4 2 80\n5 2 76\n6 2 78<\/strong><\/pre>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u062e\u0637\u0648\u0629 2: \u062a\u0646\u0627\u0633\u0628 \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><span style=\"color: #000000;\">\u0628\u0639\u062f \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u0646\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 <strong>lm()<\/strong> \u0644\u062a\u0646\u0627\u0633\u0628 \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0628\u0633\u064a\u0637 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a-\u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0627\u062a-\u0627\u0644\u062a\u0641\u0633\u064a\u0631\u064a\u0629\/\" target=\"_blank\" rel=\"noopener\">\u0643\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629<\/a> \u0648\u0627\u0644\u0633\u0627\u0639\u0627\u062a \u0643\u0645\u062a\u063a\u064a\u0631 \u0645\u062a\u0648\u0642\u0639:<\/span><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit regression model<\/span>\nmodel &lt;- lm(score ~ hours, data = df)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(model)\n\nCall:\nlm(formula = score ~ hours, data = df)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-8.6970 -2.5156 -0.0737 3.1100 7.5495 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 73.4459 1.9147 38.360 &lt; 2nd-16 ***\nhours 3.2512 0.4603 7.063 1.38e-06 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 4.289 on 18 degrees of freedom\nMultiple R-squared: 0.7348, Adjusted R-squared: 0.7201 \nF-statistic: 49.88 on 1 and 18 DF, p-value: 1.378e-06\n<\/strong><\/pre>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u062e\u0637\u0648\u0629 3: \u062d\u0633\u0627\u0628 SST\u060c SSR \u0648SSE<\/strong><\/span><\/h3>\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\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0644\u062d\u0633\u0627\u0628 SST \u0648SSR \u0648SSE:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#find sse<\/span>\nsse &lt;- <span style=\"color: #3366ff;\">sum<\/span> (( <span style=\"color: #3366ff;\">fitted<\/span> (model) - df$score)^2)\nsse\n\n[1] 331.0749\n\n<span style=\"color: #008080;\">#find ssr\n<\/span>ssr &lt;- <span style=\"color: #3366ff;\">sum<\/span> (( <span style=\"color: #3366ff;\">fitted<\/span> (model) - <span style=\"color: #3366ff;\">mean<\/span> (df$score))^2)\nssr\n\n[1] 917.4751\n\n<span style=\"color: #008080;\">#find sst\n<\/span>sst &lt;- ssr + sse\nsst\n\n[1] 1248.55\n<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u0644\u0645\u0642\u0627\u064a\u064a\u0633 \u062a\u062a\u062d\u0648\u0644 \u0625\u0644\u0649:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a (SST):<\/strong> 1248.55<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u062c\u0645\u0648\u0639 \u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a (SSR):<\/strong> 917.4751<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u062c\u0645\u0648\u0639 \u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u062e\u0637\u0623 (SSE):<\/strong> 331.0749<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0623\u0646 SST = SSR + SSE:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0637\u0627\u0626\u0631\u0629 \u0623\u0633\u0631\u0639 \u0645\u0646 \u0627\u0644\u0635\u0648\u062a = SSR + SSE<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">1248.55 = 917.4751 + 331.0749<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u064a\u0636\u064b\u0627 \u062d\u0633\u0627\u0628 <a href=\"https:\/\/statorials.org\/ar\/\u0642\u064a\u0645\u0629-r-\u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629-\u062c\u064a\u062f\u0629\/\" target=\"_blank\" rel=\"noopener\">\u0645\u0631\u0628\u0639 R<\/a> \u064a\u062f\u0648\u064a\u064b\u0627 \u0644\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">R \u062a\u0631\u0628\u064a\u0639 = SSR \/ SST<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0631 \u062a\u0631\u0628\u064a\u0639 = 917.4751 \/ 1248.55<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0631 \u062a\u0631\u0628\u064a\u0639 = 0.7348<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0647\u0630\u0627 \u064a\u062e\u0628\u0631\u0646\u0627 \u0623\u0646 <strong>73.48%<\/strong> \u0645\u0646 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0641\u064a \u062f\u0631\u062c\u0627\u062a \u0627\u0644\u0627\u0645\u062a\u062d\u0627\u0646 \u064a\u0645\u0643\u0646 \u062a\u0641\u0633\u064a\u0631\u0647 \u0628\u0639\u062f\u062f \u0633\u0627\u0639\u0627\u062a \u0627\u0644\u062f\u0631\u0627\u0633\u0629.<\/span><\/p>\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\"> <span style=\"color: #000000;\">\u064a\u0645\u0643\u0646\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0622\u0644\u0627\u062a \u0627\u0644\u062d\u0627\u0633\u0628\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0644\u062d\u0633\u0627\u0628 SST \u0648SSR \u0648SSE \u062a\u0644\u0642\u0627\u0626\u064a\u064b\u0627 \u0644\u0623\u064a \u062e\u0637 \u0627\u0646\u062d\u062f\u0627\u0631 \u062e\u0637\u064a \u0628\u0633\u064a\u0637:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0622\u0644\u0629 \u062d\u0627\u0633\u0628\u0629 SST<br \/> \u062d\u0627\u0633\u0628\u0629 \u0622\u0631 \u0625\u0633 \u0625\u0633<br \/> \u062d\u0627\u0633\u0628\u0629 ESS<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u063a\u0627\u0644\u0628\u064b\u0627 \u0645\u0627 \u0646\u0633\u062a\u062e\u062f\u0645 \u062b\u0644\u0627\u062b\u0629 \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629 \u0645\u0646 \u0642\u064a\u0645 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0644\u0642\u064a\u0627\u0633 \u0645\u062f\u0649 \u0645\u0644\u0627\u0621\u0645\u0629 \u062e\u0637 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0644\u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a: 1. \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0625\u062c\u0645\u0627\u0644\u064a\u0629 (SST) \u2013 \u0645\u062c\u0645\u0648\u0639 \u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0627\u062e\u062a\u0644\u0627\u0641\u0627\u062a \u0628\u064a\u0646 \u0646\u0642\u0627\u0637 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0641\u0631\u062f\u064a\u0629 (y i ) \u0648\u0645\u062a\u0648\u0633\u0637 \u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 ( y ). \u062f\u0631\u062c\u0629 \u062d\u0631\u0627\u0631\u0629 \u0633\u0637\u062d \u0627\u0644\u0628\u062d\u0631 = \u03a3(\u0635 \u0637 \u2013 \u0630 ) 2 2. \u0627\u0646\u062d\u062f\u0627\u0631 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a (SSR) \u2013 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