{"id":1144,"date":"2023-07-27T12:43:28","date_gmt":"2023-07-27T12:43:28","guid":{"rendered":"https:\/\/statorials.org\/tr\/r-uzeri-rnin-karesi\/"},"modified":"2023-07-27T12:43:28","modified_gmt":"2023-07-27T12:43:28","slug":"r-uzeri-rnin-karesi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/r-uzeri-rnin-karesi\/","title":{"rendered":"R&#39;de belirleme katsay\u0131s\u0131 (r-kare) nas\u0131l bulunur?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Belirleme katsay\u0131s\u0131<\/strong> (genellikle <sup>R2<\/sup> ile g\u00f6sterilir), bir regresyon modelinde a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler taraf\u0131ndan a\u00e7\u0131klanabilen <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener noreferrer\">yan\u0131t de\u011fi\u015fkeninin<\/a> varyans\u0131n\u0131n oran\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde, R&#8217;deki bir regresyon modelinde <sup>R2&#8217;nin<\/sup> nas\u0131l bulunaca\u011f\u0131na ve yorumlanaca\u011f\u0131na ili\u015fkin bir \u00f6rnek sunulmaktad\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0130lgili:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/iyi-r-kare-degeri\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u0130yi bir R-kare de\u011feri nedir?<\/a><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: R&#8217;de R-karesini bulma ve yorumlama<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">15 \u00f6\u011frencinin \u00e7al\u0131\u015f\u0131lan saat say\u0131s\u0131, girilen haz\u0131rl\u0131k s\u0131navlar\u0131 ve al\u0131nan s\u0131nav puanlar\u0131na ili\u015fkin verileri i\u00e7eren a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame<\/span>\ndf &lt;- data.frame(hours=c(1, 2, 2, 4, 2, 1, 5, 4, 2, 4, 4, 3, 6, 5, 3),\n                 prep_exams=c(1, 3, 3, 5, 2, 2, 1, 1, 0, 3, 4, 3, 2, 4, 4),\n                 score=c(76, 78, 85, 88, 72, 69, 94, 94, 88, 92, 90, 75, 96, 90, 82))\n\n<span style=\"color: #008080;\">#view first six rows of data frame<\/span>\nhead(df)\n\n  hours prep_exams score\n1 1 1 76\n2 2 3 78\n3 2 3 85\n4 4 5 88\n5 2 2 72\n6 1 2 69\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u00e7oklu do\u011frusal regresyon modelinin<\/a> bu veri k\u00fcmesine nas\u0131l s\u0131\u011fd\u0131r\u0131laca\u011f\u0131n\u0131 ve model \u00e7\u0131kt\u0131s\u0131n\u0131n R&#8217;de nas\u0131l g\u00f6r\u00fcnt\u00fclenece\u011fini g\u00f6sterir:<\/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+prep_exams, data=df)\n\n<span style=\"color: #008080;\">#view model summary<\/span>\nsummary(model)\n\nCall:\nlm(formula = score ~ hours + prep_exams, data = df)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-7.9896 -2.5514 0.3079 3.3370 7.0352 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 71.8078 3.5222 20.387 1.12e-10 ***\nhours 5.0247 0.8964 5.606 0.000115 ***\nprep_exams -1.2975 0.9689 -1.339 0.205339    \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 4.944 on 12 degrees of freedom\nMultiple R-squared: 0.7237, Adjusted R-squared: 0.6776 \nF-statistic: 15.71 on 2 and 12 DF, p-value: 0.0004454<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Modelin R karesi (\u00e7\u0131kt\u0131n\u0131n en alt\u0131nda g\u00f6sterilmektedir) <strong>0,7237<\/strong> olarak ortaya \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, s\u0131nav puanlar\u0131ndaki farkl\u0131l\u0131\u011f\u0131n <strong>%72,37&#8217;sinin<\/strong> \u00e7al\u0131\u015f\u0131lan saat ve al\u0131nan deneme s\u0131nav\u0131 say\u0131s\u0131 ile a\u00e7\u0131klanabilece\u011fi anlam\u0131na gelmektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu de\u011fere a\u015fa\u011f\u0131daki s\u00f6zdizimini kullanarak da eri\u015febilece\u011finizi unutmay\u0131n:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>summary(model)$r.squared\n\n[1] 0.7236545<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>R-kare de\u011feri nas\u0131l yorumlan\u0131r?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">R kare de\u011feri her zaman 0 ile 1 aras\u0131nda olacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">1 de\u011feri, a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenlerin yan\u0131t de\u011fi\u015fkeninin varyans\u0131n\u0131 m\u00fckemmel bir \u015fekilde a\u00e7\u0131klayabildi\u011fini, 0 de\u011feri ise a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenlerin yan\u0131t de\u011fi\u015fkeninin varyans\u0131n\u0131 a\u00e7\u0131klama yetene\u011fine sahip olmad\u0131\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Genel olarak, bir regresyon modelinin R-kare de\u011feri ne kadar b\u00fcy\u00fck olursa, a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler yan\u0131t de\u011fi\u015fkeninin de\u011ferini o kadar iyi tahmin edebilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Belirli bir regresyon modeli i\u00e7in belirli bir R-kare de\u011ferinin &#8220;iyi&#8221; olarak kabul edilip edilmedi\u011finin nas\u0131l belirlenece\u011fi hakk\u0131nda daha fazla ayr\u0131nt\u0131 i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/iyi-r-kare-degeri\/\" target=\"_blank\" rel=\"noopener noreferrer\">bu makaleye<\/a> g\u00f6z at\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0130lgili:<\/strong><\/span><a href=\"https:\/\/statorials.org\/tr\/rdeki-r-kareler-uyar\/\" target=\"_blank\" rel=\"noopener noreferrer\">R&#8217;de d\u00fczeltilmi\u015f R-kare nas\u0131l hesaplan\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Belirleme katsay\u0131s\u0131 (genellikle R2 ile g\u00f6sterilir), bir regresyon modelinde a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler taraf\u0131ndan a\u00e7\u0131klanabilen yan\u0131t de\u011fi\u015fkeninin varyans\u0131n\u0131n oran\u0131d\u0131r. Bu e\u011fitimde, R&#8217;deki bir regresyon modelinde R2&#8217;nin nas\u0131l bulunaca\u011f\u0131na ve yorumlanaca\u011f\u0131na ili\u015fkin bir \u00f6rnek sunulmaktad\u0131r. \u0130lgili: \u0130yi bir R-kare de\u011feri nedir? \u00d6rnek: R&#8217;de R-karesini bulma ve yorumlama 15 \u00f6\u011frencinin \u00e7al\u0131\u015f\u0131lan saat say\u0131s\u0131, girilen haz\u0131rl\u0131k s\u0131navlar\u0131 ve al\u0131nan s\u0131nav [&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":[],"class_list":["post-1144","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>R&#039;de belirleme katsay\u0131s\u0131 (R-kare) nas\u0131l bulunur?<\/title>\n<meta name=\"description\" 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