{"id":3469,"date":"2023-07-17T07:59:02","date_gmt":"2023-07-17T07:59:02","guid":{"rendered":"https:\/\/statorials.org\/tr\/rdeki-ols-regresyonu\/"},"modified":"2023-07-17T07:59:02","modified_gmt":"2023-07-17T07:59:02","slug":"rdeki-ols-regresyonu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rdeki-ols-regresyonu\/","title":{"rendered":"R&#39;de ols regresyon nas\u0131l ger\u00e7ekle\u015ftirilir (\u00f6rnekle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">S\u0131radan en k\u00fc\u00e7\u00fck kareler (OLS) regresyonu, bir veya daha fazla yorday\u0131c\u0131 de\u011fi\u015fken ile bir <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener\">yan\u0131t de\u011fi\u015fkeni<\/a> aras\u0131ndaki ili\u015fkiyi en iyi tan\u0131mlayan do\u011fruyu bulmam\u0131z\u0131 sa\u011flayan bir y\u00f6ntemdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu y\u00f6ntem a\u015fa\u011f\u0131daki denklemi bulmam\u0131z\u0131 sa\u011flar:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0177 = b <sub>0<\/sub> + b <sub>1<\/sub> x<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u0177<\/strong> : Tahmini yan\u0131t de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>b <sub>0<\/sub><\/strong> : Regresyon \u00e7izgisinin ba\u015flang\u0131c\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>b <sub>1<\/sub><\/strong> : Regresyon \u00e7izgisinin e\u011fimi<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu denklem, yorday\u0131c\u0131 ile yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ili\u015fkiyi anlamam\u0131za yard\u0131mc\u0131 olabilir ve yorday\u0131c\u0131 de\u011fi\u015fkenin de\u011feri g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, bir yan\u0131t de\u011fi\u015fkeninin de\u011ferini tahmin etmek i\u00e7in kullan\u0131labilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki ad\u0131m ad\u0131m \u00f6rnek, R&#8217;de OLS regresyonunun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><b>1. Ad\u0131m: Verileri olu\u015fturun<\/b><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnekte 15 \u00f6\u011frenci i\u00e7in a\u015fa\u011f\u0131daki iki de\u011fi\u015fkeni i\u00e7eren bir veri seti olu\u015fturaca\u011f\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Toplam \u00e7al\u0131\u015f\u0131lan saat say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\">S\u0131nav sonucu<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Tahmin edici de\u011fi\u015fken olarak saatleri ve yan\u0131t de\u011fi\u015fkeni olarak s\u0131nav puan\u0131n\u0131 kullanarak bir OLS regresyonu ger\u00e7ekle\u015ftirece\u011fiz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, bu sahte veri k\u00fcmesinin R&#8217;de nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create dataset<\/span>\ndf &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 dataset\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<h2> <span style=\"color: #000000;\"><b>2. Ad\u0131m: Verileri g\u00f6rselle\u015ftirin<\/b><\/span><\/h2>\n<p> <span style=\"color: #000000;\">OLS regresyonunu ger\u00e7ekle\u015ftirmeden \u00f6nce saatlerle s\u0131nav puan\u0131 aras\u0131ndaki ili\u015fkiyi g\u00f6rselle\u015ftirmek i\u00e7in bir da\u011f\u0131l\u0131m grafi\u011fi olu\u015ftural\u0131m:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">library<\/span> (ggplot2)\n\n<span style=\"color: #008080;\">#create scatterplot\n<\/span>ggplot(df, aes(x=hours, y=score)) +\n  geom_point(size= <span style=\"color: #008000;\">2<\/span> )\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-28969 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/vieux1.jpg\" alt=\"\" width=\"486\" height=\"410\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Do\u011frusal regresyonun<a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-varsayimlari\/\" target=\"_blank\" rel=\"noopener\">d\u00f6rt varsay\u0131m\u0131ndan<\/a> biri, yorday\u0131c\u0131 ile yan\u0131t de\u011fi\u015fkeni aras\u0131nda do\u011frusal bir ili\u015fkinin olmas\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Grafikten ili\u015fkinin do\u011frusal oldu\u011funu g\u00f6rebiliriz. Saat say\u0131s\u0131 artt\u0131k\u00e7a puan da do\u011frusal olarak artma e\u011filimindedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra s\u0131nav sonu\u00e7lar\u0131n\u0131n da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6rselle\u015ftirmek ve ayk\u0131r\u0131 de\u011ferleri kontrol etmek i\u00e7in bir kutu grafi\u011fi olu\u015fturabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not<\/strong> : R, \u00fc\u00e7\u00fcnc\u00fc \u00e7eyre\u011fin \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n\u0131n 1,5 kat\u0131 \u00fczerinde veya birinci \u00e7eyre\u011fin alt\u0131nda \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n 1,5 kat\u0131 olan bir g\u00f6zlemi ayk\u0131r\u0131 de\u011fer olarak tan\u0131mlar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir g\u00f6zlem ayk\u0131r\u0131 ise kutu grafi\u011finde k\u00fc\u00e7\u00fck bir daire g\u00f6r\u00fcnecektir:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">library<\/span> (ggplot2)\n\n<span style=\"color: #008080;\">#create scatterplot\n<\/span>ggplot(df, aes(y=score)) +\n  geom_boxplot()<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-28970 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/vieux2.jpg\" alt=\"\" width=\"333\" height=\"384\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Kutu grafi\u011finde k\u00fc\u00e7\u00fck daireler yok, bu da veri setimizde ayk\u0131r\u0131 de\u011ferlerin olmad\u0131\u011f\u0131 anlam\u0131na geliyor.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><b>Ad\u0131m 3: OLS Regresyonunu Ger\u00e7ekle\u015ftirin<\/b><\/span><\/h2>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Daha sonra, tahmin de\u011fi\u015fkeni olarak saatleri ve yan\u0131t de\u011fi\u015fkeni olarak puan\u0131 kullanarak bir OLS regresyonu ger\u00e7ekle\u015ftirmek i\u00e7in R&#8217;deki <strong>lm()<\/strong> i\u015flevini kullanabiliriz:<\/span><\/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 model summary<\/span>\nsummary(model)\n\nCall:\nlm(formula = score ~ hours)\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> <span style=\"color: #000000;\">Model \u00f6zetinden uygun regresyon denkleminin \u015f\u00f6yle oldu\u011funu g\u00f6rebiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Puan = 65,334 + 1,982*(saat)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, \u00e7al\u0131\u015f\u0131lan her ek saatin ortalama <strong>1.982<\/strong> puanl\u0131k s\u0131nav puan\u0131 art\u0131\u015f\u0131yla ili\u015fkili oldu\u011fu anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Orijinal de\u011feri olan <strong>65.334<\/strong> bize s\u0131f\u0131r saat ders \u00e7al\u0131\u015fan bir \u00f6\u011frencinin ortalama beklenen s\u0131nav puan\u0131n\u0131 anlat\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu denklemi, \u00f6\u011frencinin ders \u00e7al\u0131\u015ft\u0131\u011f\u0131 saat say\u0131s\u0131na g\u00f6re beklenen s\u0131nav puan\u0131n\u0131 bulmak i\u00e7in de kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin 10 saat ders \u00e7al\u0131\u015fan bir \u00f6\u011frencinin s\u0131nav puan\u0131n\u0131n <strong>85,15<\/strong> olmas\u0131 gerekir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Puan = 65,334 + 1,982*(10) = 85,15<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Model \u00f6zetinin geri kalan\u0131n\u0131 \u015fu \u015fekilde yorumlayabilirsiniz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Pr(&gt;|t|):<\/strong> Model katsay\u0131lar\u0131yla ili\u015fkili p de\u011feridir. <em>Saatlere<\/em> ili\u015fkin p de\u011feri (2,25e-06) 0,05&#8217;ten anlaml\u0131 derecede k\u00fc\u00e7\u00fck oldu\u011fundan <em>saat<\/em> ile <em>puan<\/em> aras\u0131nda istatistiksel olarak anlaml\u0131 bir ili\u015fkinin oldu\u011funu s\u00f6yleyebiliriz.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u00c7oklu R-kare:<\/strong> Bu say\u0131 bize s\u0131nav puanlar\u0131ndaki de\u011fi\u015fim y\u00fczdesinin \u00e7al\u0131\u015f\u0131lan saat say\u0131s\u0131yla a\u00e7\u0131klanabilece\u011fini s\u00f6yler. Genel olarak, bir regresyon modelinin R-kare de\u011feri ne kadar b\u00fcy\u00fck olursa, yorday\u0131c\u0131 de\u011fi\u015fkenlerin yan\u0131t de\u011fi\u015fkeninin de\u011ferini tahmin etmede o kadar iyi olur. Bu durumda puanlardaki de\u011fi\u015fimin <strong>%83,1&#8217;i<\/strong> \u00e7al\u0131\u015f\u0131lan saatlerle a\u00e7\u0131klanabilir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Art\u0131k standart hata:<\/strong> g\u00f6zlenen de\u011ferler ile regresyon \u00e7izgisi aras\u0131ndaki ortalama mesafedir. Bu de\u011fer ne kadar d\u00fc\u015f\u00fck olursa, bir regresyon \u00e7izgisinin g\u00f6zlemlenen verilere o kadar fazla kar\u015f\u0131l\u0131k gelebilmesi m\u00fcmk\u00fcnd\u00fcr. Bu durumda s\u0131navda g\u00f6zlemlenen ortalama puan, regresyon \u00e7izgisinin \u00f6ng\u00f6rd\u00fc\u011f\u00fc puandan <strong>3.641<\/strong> puan sapmaktad\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>F istatisti\u011fi ve p de\u011feri:<\/strong> F istatisti\u011fi ( <strong>63.91<\/strong> ) ve kar\u015f\u0131l\u0131k gelen p de\u011feri ( <strong>2.253e-06<\/strong> ) bize regresyon modelinin genel \u00f6nemini, yani modeldeki yorday\u0131c\u0131 de\u011fi\u015fkenlerin varyasyonu a\u00e7\u0131klamada yararl\u0131 olup olmad\u0131\u011f\u0131n\u0131 anlat\u0131r. . yan\u0131t de\u011fi\u015fkeninde. Bu \u00f6rnekteki p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan modelimiz istatistiksel olarak anlaml\u0131d\u0131r ve <em>saatlerin<\/em> <em>puan<\/em> de\u011fi\u015fimini a\u00e7\u0131klamada faydal\u0131 oldu\u011fu d\u00fc\u015f\u00fcn\u00fclmektedir.<\/span><\/li>\n<\/ul>\n<h2> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: Art\u0131k Grafikler Olu\u015fturun<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Son olarak, <a href=\"https:\/\/statorials.org\/tr\/degisen-varyans-regresyonu\/\" target=\"_blank\" rel=\"noopener\">e\u015fcinsellik<\/a> ve <a href=\"https:\/\/statorials.org\/tr\/normallik-hipotezi\/\" target=\"_blank\" rel=\"noopener\">normallik<\/a> varsay\u0131mlar\u0131n\u0131 kontrol etmek i\u00e7in art\u0131k grafikleri olu\u015fturmam\u0131z gerekiyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>E\u015f varyans<\/strong> varsay\u0131m\u0131, bir regresyon modelinin <a href=\"https:\/\/statorials.org\/tr\/kalinti\/\" target=\"_blank\" rel=\"noopener\">art\u0131klar\u0131n\u0131n<\/a> , yorday\u0131c\u0131 de\u011fi\u015fkenin her seviyesinde yakla\u015f\u0131k olarak e\u015fit varyansa sahip olmas\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu varsay\u0131m\u0131n kar\u015f\u0131land\u0131\u011f\u0131n\u0131 do\u011frulamak i\u00e7in <strong>art\u0131klar\u0131n ve uyumlar\u0131n grafi\u011fini<\/strong> olu\u015fturabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">X ekseni tak\u0131lan de\u011ferleri, y ekseni ise art\u0131klar\u0131 g\u00f6r\u00fcnt\u00fcler. Art\u0131klar grafik boyunca s\u0131f\u0131r de\u011feri etraf\u0131nda rastgele ve d\u00fczg\u00fcn bir \u015fekilde da\u011f\u0131lm\u0131\u015f g\u00f6r\u00fcnd\u00fc\u011f\u00fc s\u00fcrece, e\u015f varyansl\u0131l\u0131\u011f\u0131n ihlal edilmedi\u011fini varsayabiliriz:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define residuals\n<\/span>res &lt;- resid(model)\n\n<span style=\"color: #008080;\">#produce residual vs. fitted plot\n<\/span>plot(fitted(model), res)\n\n<span style=\"color: #008080;\">#add a horizontal line at 0 \n<\/span>abline(0,0)\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-28971 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ols3.jpg\" alt=\"\" width=\"501\" height=\"364\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Art\u0131klar s\u0131f\u0131r etraf\u0131nda rastgele da\u011f\u0131lm\u0131\u015f gibi g\u00f6r\u00fcn\u00fcyor ve fark edilebilir bir desen g\u00f6stermiyor, dolay\u0131s\u0131yla bu varsay\u0131m kar\u015f\u0131lan\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><b>Normallik<\/b> varsay\u0131m\u0131, bir regresyon modelinin <a href=\"https:\/\/statorials.org\/tr\/kalinti\/\" target=\"_blank\" rel=\"noopener\">art\u0131klar\u0131n\u0131n<\/a> yakla\u015f\u0131k olarak normal da\u011f\u0131ld\u0131\u011f\u0131n\u0131 belirtir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu varsay\u0131m\u0131n kar\u015f\u0131lan\u0131p kar\u015f\u0131lanmad\u0131\u011f\u0131n\u0131 kontrol etmek i\u00e7in bir <strong>QQ grafi\u011fi<\/strong> olu\u015fturabiliriz. \u00c7izim noktalar\u0131 45 derecelik bir a\u00e7\u0131 olu\u015fturan kabaca d\u00fcz bir \u00e7izgi boyunca uzan\u0131yorsa veriler normal \u015fekilde da\u011f\u0131t\u0131l\u0131r:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create QQ plot for residuals\n<\/span>qqnorm(res)\n\n<span style=\"color: #008080;\">#add a straight diagonal line to the plot\n<\/span>qqline(res) \n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-28972 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ols4.jpg\" alt=\"\" width=\"416\" height=\"394\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Kal\u0131nt\u0131lar 45 derece \u00e7izgisinden biraz sap\u0131yor ancak ciddi endi\u015fe yaratacak kadar de\u011fil. Normallik varsay\u0131m\u0131n\u0131n kar\u015f\u0131land\u0131\u011f\u0131n\u0131 varsayabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Art\u0131klar normal da\u011f\u0131ld\u0131\u011f\u0131 ve homoskedastic oldu\u011fu i\u00e7in OLS regresyon modelinin varsay\u0131mlar\u0131n\u0131n kar\u015f\u0131land\u0131\u011f\u0131n\u0131 do\u011frulad\u0131k.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla modelimizin \u00e7\u0131kt\u0131s\u0131 g\u00fcvenilirdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not<\/strong> : Varsay\u0131mlardan bir veya daha fazlas\u0131 kar\u015f\u0131lanmazsa verilerimizi <a href=\"https:\/\/statorials.org\/tr\/verileri-rye-donustur\/\" target=\"_blank\" rel=\"noopener\">d\u00f6n\u00fc\u015ft\u00fcrmeyi<\/a> deneyebiliriz.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde R&#8217;de di\u011fer ortak g\u00f6revlerin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de \u00e7oklu do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rde-ustel-regresyon\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de \u00fcstel regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/r-cinsinden-agirlikli-en-kucuk-kareler\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de a\u011f\u0131rl\u0131kl\u0131 en k\u00fc\u00e7\u00fck kareler regresyonu nas\u0131l ger\u00e7ekle\u015ftirilir?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>S\u0131radan en k\u00fc\u00e7\u00fck kareler (OLS) regresyonu, bir veya daha fazla yorday\u0131c\u0131 de\u011fi\u015fken ile bir yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ili\u015fkiyi en iyi tan\u0131mlayan do\u011fruyu bulmam\u0131z\u0131 sa\u011flayan bir y\u00f6ntemdir. Bu y\u00f6ntem a\u015fa\u011f\u0131daki denklemi bulmam\u0131z\u0131 sa\u011flar: \u0177 = b 0 + b 1 x Alt\u0131n: \u0177 : Tahmini yan\u0131t de\u011feri b 0 : Regresyon \u00e7izgisinin ba\u015flang\u0131c\u0131 b 1 : [&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-3469","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 OLS Regresyon Nas\u0131l Ger\u00e7ekle\u015ftirilir (\u00d6rnekle) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, R&#039;de OLS regresyonunun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi eksiksiz bir \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/tr\/rdeki-ols-regresyonu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R&#039;de OLS Regresyon Nas\u0131l Ger\u00e7ekle\u015ftirilir (\u00d6rnekle) - 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