{"id":1642,"date":"2023-07-25T13:26:30","date_gmt":"2023-07-25T13:26:30","guid":{"rendered":"https:\/\/statorials.org\/tr\/r-egrisi-ayari\/"},"modified":"2023-07-25T13:26:30","modified_gmt":"2023-07-25T13:26:30","slug":"r-egrisi-ayari","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/r-egrisi-ayari\/","title":{"rendered":"R&#39;de e\u011fri uydurma (\u00f6rneklerle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u00c7o\u011funlukla R e\u011frisine en iyi uyan denklemi bulmak isteyebilirsiniz.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-16195\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/courberaccordr1.png\" alt=\"R'de e\u011fri uydurma\" width=\"405\" height=\"368\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki ad\u0131m ad\u0131m \u00f6rnek, <strong>poly()<\/strong> i\u015flevini kullanarak e\u011frilerin R&#8217;deki verilere nas\u0131l s\u0131\u011fd\u0131r\u0131laca\u011f\u0131n\u0131 ve verilere en iyi uyan e\u011frinin nas\u0131l belirlenece\u011fini a\u00e7\u0131klamaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>1. Ad\u0131m: Verileri olu\u015fturun ve g\u00f6rselle\u015ftirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Sahte bir veri k\u00fcmesi olu\u015fturarak ba\u015flayal\u0131m, ard\u0131ndan verileri 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: #008080;\">#create data frame\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (x=1:15,\n                 y=c(3, 14, 23, 25, 23, 15, 9, 5, 9, 13, 17, 24, 32, 36, 46))\n\n<span style=\"color: #008080;\">#create a scatterplot of x vs. y\n<\/span>plot(df$x, df$y, pch= <span style=\"color: #008000;\">19<\/span> , xlab=' <span style=\"color: #ff0000;\">x<\/span> ', ylab=' <span style=\"color: #ff0000;\">y<\/span> ')<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16197 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/courbeajustementr0.png\" alt=\"\" width=\"411\" height=\"374\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Birden Fazla E\u011friyi Ayarlay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra verilere birka\u00e7 polinom regresyon modeli yerle\u015ftirelim ve her modelin e\u011frisini ayn\u0131 \u00e7izimde g\u00f6rselle\u015ftirelim:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#fit polynomial regression models up to degree 5\n<\/span>fit1 &lt;- lm(y~x, data=df)\nfit2 &lt;- lm(y~poly(x,2,raw= <span style=\"color: #008000;\">TRUE<\/span> ), data=df)\nfit3 &lt;- lm(y~poly(x,3,raw= <span style=\"color: #008000;\">TRUE<\/span> ), data=df)\nfit4 &lt;- lm(y~poly(x,4,raw= <span style=\"color: #008000;\">TRUE<\/span> ), data=df)\nfit5 &lt;- lm(y~poly(x,5,raw= <span style=\"color: #008000;\">TRUE<\/span> ), data=df)<\/span>\n\n#create a scatterplot of x vs. y\n<\/span>plot(df$x, df$y, pch=19, xlab=' <span style=\"color: #ff0000;\">x<\/span> ', ylab=' <span style=\"color: #ff0000;\">y<\/span> ')\n\n<span style=\"color: #008080;\">#define x-axis values\n<\/span>x_axis &lt;- seq(1, 15, length= <span style=\"color: #008000;\">15<\/span> )\n\n<span style=\"color: #008080;\">#add curve of each model to plot\n<\/span>lines(x_axis, predict(fit1, data. <span style=\"color: #3366ff;\">frame<\/span> (x=x_axis)), col=' <span style=\"color: #ff0000;\">green<\/span> ')\nlines(x_axis, predict(fit2, data. <span style=\"color: #3366ff;\">frame<\/span> (x=x_axis)), col=' <span style=\"color: #ff0000;\">red<\/span> ')\nlines(x_axis, predict(fit3, data. <span style=\"color: #3366ff;\">frame<\/span> (x=x_axis)), col=' <span style=\"color: #ff0000;\">purple<\/span> ')\nlines(x_axis, predict(fit4, data. <span style=\"color: #3366ff;\">frame<\/span> (x=x_axis)), col=' <span style=\"color: #ff0000;\">blue<\/span> ')\nlines(x_axis, predict(fit5, data. <span style=\"color: #3366ff;\">frame<\/span> (x=x_axis)), col=' <span style=\"color: #ff0000;\">orange<\/span> ')\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16198 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/courbeajustementr2.png\" alt=\"\" width=\"416\" height=\"375\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Hangi e\u011frinin verilere en iyi \u015fekilde uydu\u011funu belirlemek i\u00e7in her modelin <a href=\"https:\/\/statorials.org\/tr\/rdeki-r-kareler-uyar\/\" target=\"_blank\" rel=\"noopener\">d\u00fczeltilmi\u015f R karesine<\/a> bakabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu de\u011fer bize, yorday\u0131c\u0131 de\u011fi\u015fken say\u0131s\u0131na g\u00f6re ayarlanan, modeldeki yorday\u0131c\u0131 de\u011fi\u015fken(ler) taraf\u0131ndan a\u00e7\u0131klanabilecek yan\u0131t de\u011fi\u015fkenindeki varyasyonun y\u00fczdesini belirtir.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculated adjusted R-squared of each model\n<\/span>summary(fit1)$adj. <span style=\"color: #3366ff;\">r<\/span> . <span style=\"color: #3366ff;\">squared<\/span>\nsummary(fit2)$adj. <span style=\"color: #3366ff;\">r<\/span> . <span style=\"color: #3366ff;\">squared<\/span>\nsummary(fit3)$adj. <span style=\"color: #3366ff;\">r<\/span> . <span style=\"color: #3366ff;\">squared<\/span>\nsummary(fit4)$adj. <span style=\"color: #3366ff;\">r<\/span> . <span style=\"color: #3366ff;\">squared<\/span>\nsummary(fit5)$adj. <span style=\"color: #3366ff;\">r<\/span> . <span style=\"color: #3366ff;\">squared<\/span>\n\n[1] 0.3144819\n[1] 0.5186706\n[1] 0.7842864\n[1] 0.9590276\n[1] 0.9549709\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonu\u00e7tan, en y\u00fcksek d\u00fczeltilmi\u015f R-kare de\u011ferine sahip modelin, d\u00fczeltilmi\u015f R-kare de\u011feri <strong>0,959<\/strong> olan d\u00f6rd\u00fcnc\u00fc derece polinom oldu\u011funu g\u00f6rebiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>3. Ad\u0131m: Son e\u011friyi g\u00f6rselle\u015ftirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Son olarak d\u00f6rd\u00fcnc\u00fc derece polinom modelinin e\u011frisiyle bir da\u011f\u0131l\u0131m grafi\u011fi olu\u015fturabiliriz:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create a scatterplot of x vs. y\n<\/span>plot(df$x, df$y, pch=19, xlab=' <span style=\"color: #ff0000;\">x<\/span> ', ylab=' <span style=\"color: #ff0000;\">y<\/span> ')\n\n<span style=\"color: #008080;\">#define x-axis values\n<\/span>x_axis &lt;- seq(1, 15, length= <span style=\"color: #008000;\">15<\/span> )\n\n<span style=\"color: #008080;\">#add curve of fourth-degree polynomial model\n<\/span>lines(x_axis, predict(fit4, data. <span style=\"color: #3366ff;\">frame<\/span> (x=x_axis)), col=' <span style=\"color: #ff0000;\">blue<\/span> ')\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-16195\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/courberaccordr1.png\" alt=\"R'de e\u011fri uydurma\" width=\"405\" height=\"368\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Bu sat\u0131r\u0131n denklemini ayn\u0131 zamanda <strong>Summary()<\/strong> fonksiyonunu kullanarak da elde edebiliriz:<\/span><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>summary(fit4)\n\nCall:\nlm(formula = y ~ poly(x, 4, raw = TRUE), data = df)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-3.4490 -1.1732 0.6023 1.4899 3.0351 \n\nCoefficients:\n                         Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) -26.51615 4.94555 -5.362 0.000318 ***\npoly(x, 4, raw = TRUE)1 35.82311 3.98204 8.996 4.15e-06 ***\npoly(x, 4, raw = TRUE)2 -8.36486 0.96791 -8.642 5.95e-06 ***\npoly(x, 4, raw = TRUE)3 0.70812 0.08954 7.908 1.30e-05 ***\npoly(x, 4, raw = TRUE)4 -0.01924 0.00278 -6.922 4.08e-05 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 2.424 on 10 degrees of freedom\nMultiple R-squared: 0.9707, Adjusted R-squared: 0.959 \nF-statistic: 82.92 on 4 and 10 DF, p-value: 1.257e-07\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">E\u011frinin denklemi a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n<p> <span style=\"color: #000000;\">y = -0,0192x <sup>4<\/sup> + 0,7081x <sup>3<\/sup> \u2013 8,3649x <sup>2<\/sup> + 35,823x \u2013 26,516<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu denklemi, modeldeki yorday\u0131c\u0131 de\u011fi\u015fkenlere dayal\u0131 olarak <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener\">yan\u0131t de\u011fi\u015fkeninin<\/a> de\u011ferini tahmin etmek i\u00e7in kullanabiliriz. \u00d6rne\u011fin, <em>x<\/em> = 4 ise <em>y<\/em> = <strong>23,34<\/strong> olaca\u011f\u0131n\u0131 tahmin ederiz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">y = -0,0192(4) <sup>4<\/sup> + 0,7081(4) <sup>3<\/sup> \u2013 8,3649(4) <sup>2<\/sup> + 35,823(4) \u2013 26,516 = 23,34<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/polinom-regresyonu-1\/\" target=\"_blank\" rel=\"noopener\">Polinom Regresyona Giri\u015f<br \/><\/a> <a href=\"https:\/\/statorials.org\/tr\/polinom-regresyon-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de Polinom Regresyon (Ad\u0131m Ad\u0131m)<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rde-sira-islevi\/\">R&#8217;de seq i\u015flevi nas\u0131l kullan\u0131l\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00c7o\u011funlukla R e\u011frisine en iyi uyan denklemi bulmak isteyebilirsiniz. A\u015fa\u011f\u0131daki ad\u0131m ad\u0131m \u00f6rnek, poly() i\u015flevini kullanarak e\u011frilerin R&#8217;deki verilere nas\u0131l s\u0131\u011fd\u0131r\u0131laca\u011f\u0131n\u0131 ve verilere en iyi uyan e\u011frinin nas\u0131l belirlenece\u011fini a\u00e7\u0131klamaktad\u0131r. 1. Ad\u0131m: Verileri olu\u015fturun ve g\u00f6rselle\u015ftirin Sahte bir veri k\u00fcmesi olu\u015fturarak ba\u015flayal\u0131m, ard\u0131ndan verileri g\u00f6rselle\u015ftirmek i\u00e7in bir da\u011f\u0131l\u0131m grafi\u011fi olu\u015ftural\u0131m: #create data frame df &lt;- [&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-1642","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 E\u011fri Uydurma (\u00d6rneklerle) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, R&#039;deki bir nokta bulutuna bir e\u011frinin nas\u0131l s\u0131\u011fd\u0131r\u0131laca\u011f\u0131 birka\u00e7 \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\/r-egrisi-ayari\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R&#039;de E\u011fri Uydurma (\u00d6rneklerle) - 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