{"id":784,"date":"2023-07-28T18:44:38","date_gmt":"2023-07-28T18:44:38","guid":{"rendered":"https:\/\/statorials.org\/tr\/ikinci-dereceden-regresyon-r\/"},"modified":"2023-07-28T18:44:38","modified_gmt":"2023-07-28T18:44:38","slug":"ikinci-dereceden-regresyon-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ikinci-dereceden-regresyon-r\/","title":{"rendered":"R&#39;de ikinci dereceden regresyon nas\u0131l ger\u00e7ekle\u015ftirilir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130ki de\u011fi\u015fkenin do\u011frusal bir ili\u015fkisi oldu\u011funda, ili\u015fkilerini \u00f6l\u00e7mek i\u00e7in s\u0131kl\u0131kla <a href=\"https:\/\/statorials.org\/tr\/rde-basit-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener noreferrer\">basit do\u011frusal regresyon<\/a> kullanabiliriz.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5772 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadregstata1.png\" sizes=\"auto, \" srcset=\"\" alt=\"Do\u011frusal ili\u015fki \u00f6rne\u011fi\" width=\"442\" height=\"318\"><\/p>\n<p> <span style=\"color: #000000;\">Bununla birlikte, iki de\u011fi\u015fken ikinci dereceden bir ili\u015fkiye sahip oldu\u011funda, ili\u015fkilerini \u00f6l\u00e7mek i\u00e7in <strong>ikinci dereceden regresyonu<\/strong> kullanabiliriz.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5773 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadregstata2.png\" sizes=\"auto, \" srcset=\"\" alt=\"\u0130kinci dereceden ili\u015fki \u00f6rne\u011fi\" width=\"441\" height=\"319\"><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde R&#8217;de ikinci dereceden regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h3> <strong>\u00d6rnek: R&#8217;de ikinci dereceden regresyon<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u00c7al\u0131\u015f\u0131lan saat say\u0131s\u0131 ile bildirilen mutluluk aras\u0131ndaki ili\u015fkiyi anlamak istedi\u011fimizi varsayal\u0131m. 11 farkl\u0131 ki\u015fi i\u00e7in haftada \u00e7al\u0131\u015f\u0131lan saat say\u0131s\u0131 ve rapor edilen mutluluk d\u00fczeyi (0&#8217;dan 100&#8217;e kadar bir \u00f6l\u00e7ekte) hakk\u0131nda a\u015fa\u011f\u0131daki verilere sahibiz:<\/span> <\/p>\n<p data-slot-rendered-dynamic=\"true\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6954 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadti1.png\" sizes=\"auto, \" srcset=\"\" alt=\"\" width=\"150\" height=\"248\"><\/p>\n<p> <span style=\"color: #000000;\">R&#8217;ye ikinci dereceden bir regresyon modelini s\u0131\u011fd\u0131rmak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullan\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Verileri girin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk olarak verilerimizi i\u00e7eren bir veri \u00e7er\u00e7evesi olu\u015fturaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#createdata<\/span>\ndata &lt;- data.frame(hours=c(6, 9, 12, 14, 30, 35, 40, 47, 51, 55, 60),\n                   happiness=c(14, 28, 50, 70, 89, 94, 90, 75, 59, 44, 27))\n<span style=\"color: #008080;\">\n#viewdata<\/span> \ndata\n\n   hours happiness\n1 6 14\n2 9 28\n3 12 50\n4 14 70\n5 30 89\n6 35 94\n7 40 90\n8 47 75\n9 51 59\n10 55 44\n11 60 27\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Verileri g\u00f6rselle\u015ftirin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra verileri g\u00f6rselle\u015ftirmek i\u00e7in basit bir da\u011f\u0131l\u0131m grafi\u011fi olu\u015fturaca\u011f\u0131z.<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create scatterplot<\/span>\nplot(data$hours, data$happiness, pch=16)<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8616 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadratiquer1.png\" alt=\"R'deki da\u011f\u0131l\u0131m grafi\u011fi\" width=\"370\" height=\"336\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Verilerin do\u011frusal bir kal\u0131p izlemedi\u011fini a\u00e7\u0131k\u00e7a g\u00f6rebiliyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Basit bir do\u011frusal regresyon modeli yerle\u015ftirin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra verilere ne kadar iyi uydu\u011funu g\u00f6rmek i\u00e7in basit bir do\u011frusal regresyon modeli uygulayaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit linear model<\/span>\nlinearModel &lt;- lm(happiness ~ hours, data=data)\n\n<span style=\"color: #008080;\">#view model summary<\/span>\nsummary(linearModel)\n\nCall:\nlm(formula = happiness ~ hours)\n\nResiduals:\n   Min 1Q Median 3Q Max \n-39.34 -21.99 -2.03 23.50 35.11 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)  \n(Intercept) 48.4531 17.3288 2.796 0.0208 *\nhours 0.2981 0.4599 0.648 0.5331  \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 28.72 on 9 degrees of freedom\nMultiple R-squared: 0.0446, Adjusted R-squared: -0.06156 \nF-statistic: 0.4201 on 1 and 9 DF, p-value: 0.5331\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Model taraf\u0131ndan a\u00e7\u0131klanan mutluluktaki toplam varyans, \u00e7oklu R-kare de\u011ferinin g\u00f6sterdi\u011fi gibi yaln\u0131zca <strong>%4,46&#8217;d\u0131r<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: \u0130kinci dereceden bir regresyon modeli yerle\u015ftirin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra ikinci dereceden bir regresyon modeli uygulayaca\u011f\u0131z.<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create a new variable for hours <sup>2<\/sup><\/span>\ndata$hours2 &lt;- data$hours^2\n\n<span style=\"color: #008080;\">#fit quadratic regression model<\/span>\nquadraticModel &lt;- lm(happiness ~ hours + hours2, data=data)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(quadraticModel)\n\nCall:\nlm(formula = happiness ~ hours + hours2, data = data)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-6.2484 -3.7429 -0.1812 1.1464 13.6678 \n\nCoefficients:\n             Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) -18.25364 6.18507 -2.951 0.0184 *  \nhours 6.74436 0.48551 13.891 6.98e-07 ***\nhours2 -0.10120 0.00746 -13.565 8.38e-07 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 6.218 on 8 degrees of freedom\nMultiple R-squared: 0.9602, Adjusted R-squared: 0.9502 \nF-statistic: 96.49 on 2 and 8 DF, p-value: 2.51e-06\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Modelin a\u00e7\u0131klad\u0131\u011f\u0131 mutluluktaki toplam varyans <b>%96,02&#8217;ye<\/b> y\u00fckseldi.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Modelin verilere ne kadar iyi uydu\u011funu g\u00f6rselle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki kodu kullanabiliriz:<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create sequence of hour values<\/span>\nhourValues &lt;- seq(0, 60, 0.1)\n\n<span style=\"color: #008080;\">#create list of predicted happiness levels using quadratic model\n<\/span>happinessPredict &lt;- predict(quadraticModel, list(hours=hourValues, hours2=hourValues^2))\n\n<span style=\"color: #008080;\">#create scatterplot of original data values\n<\/span>plot(data$hours, data$happiness, pch=16)\n<span style=\"color: #008080;\">#add predicted lines based on quadratic regression model<\/span>\nlines(hourValues, happinessPredict, col='blue')\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8619 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadratiquer2.png\" alt=\"R'de \u0130kinci Dereceden Regresyon Da\u011f\u0131l\u0131m Grafi\u011fi\" width=\"399\" height=\"368\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130kinci dereceden regresyon \u00e7izgisinin veri de\u011ferlerine olduk\u00e7a iyi uyum sa\u011flad\u0131\u011f\u0131n\u0131 g\u00f6rebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 5: \u0130kinci dereceden regresyon modelini yorumlay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir \u00f6nceki ad\u0131mda ikinci dereceden regresyon modelinin sonucunun \u015f\u00f6yle oldu\u011funu g\u00f6rd\u00fck:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>Coefficients:\n             Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) -18.25364 6.18507 -2.951 0.0184 *  \nhours 6.74436 0.48551 13.891 6.98e-07 ***\nhours2 -0.10120 0.00746 -13.565 8.38e-07 ***\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Burada sunulan katsay\u0131lara dayanarak d\u00fczeltilmi\u015f ikinci dereceden regresyon \u015fu \u015fekilde olacakt\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Mutluluk = -0,1012 (saat) <sup>2<\/sup> + 6,7444 (saat) \u2013 18,2536<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu denklemi, bir bireyin haftada ka\u00e7 saat \u00e7al\u0131\u015ft\u0131\u011f\u0131 g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda tahmin edilen mutlulu\u011funu bulmak i\u00e7in kullanabiliriz.<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">\u00d6rne\u011fin haftada 60 saat \u00e7al\u0131\u015fan bir ki\u015finin mutluluk d\u00fczeyi <strong>22,09<\/strong> olacakt\u0131r:<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">Mutluluk = -0,1012(60) <sup>2<\/sup> + 6,7444(60) \u2013 18,2536 = 22,09<\/span><\/p>\n<p> <span style=\"color: #000000;\">Haftada 30 saat \u00e7al\u0131\u015fan bir ki\u015finin ise mutluluk d\u00fczeyi <strong>92,99<\/strong> olmal\u0131d\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Mutluluk = -0,1012(30) <sup>2<\/sup> + 6,7444(30) \u2013 18,2536 = 92,99<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130ki de\u011fi\u015fkenin do\u011frusal bir ili\u015fkisi oldu\u011funda, ili\u015fkilerini \u00f6l\u00e7mek i\u00e7in s\u0131kl\u0131kla basit do\u011frusal regresyon kullanabiliriz. Bununla birlikte, iki de\u011fi\u015fken ikinci dereceden bir ili\u015fkiye sahip oldu\u011funda, ili\u015fkilerini \u00f6l\u00e7mek i\u00e7in ikinci dereceden regresyonu kullanabiliriz. Bu e\u011fitimde R&#8217;de ikinci dereceden regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r. \u00d6rnek: R&#8217;de ikinci dereceden regresyon \u00c7al\u0131\u015f\u0131lan saat say\u0131s\u0131 ile bildirilen mutluluk aras\u0131ndaki ili\u015fkiyi anlamak istedi\u011fimizi [&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-784","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 - Statorialsde ikinci dereceden regresyon nas\u0131l ger\u00e7ekle\u015ftirilir?<\/title>\n<meta name=\"description\" content=\"Ad\u0131m ad\u0131m bir \u00f6rnek de dahil olmak \u00fczere, R&#039;de ikinci dereceden regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin basit bir a\u00e7\u0131klama.\" \/>\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\/ikinci-dereceden-regresyon-r\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R - 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