{"id":4618,"date":"2023-07-09T14:43:59","date_gmt":"2023-07-09T14:43:59","guid":{"rendered":"https:\/\/statorials.org\/tr\/rde-standartlastirilmis-regresyon-katsayilari\/"},"modified":"2023-07-09T14:43:59","modified_gmt":"2023-07-09T14:43:59","slug":"rde-standartlastirilmis-regresyon-katsayilari","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rde-standartlastirilmis-regresyon-katsayilari\/","title":{"rendered":"R&#39;de standartla\u015ft\u0131r\u0131lm\u0131\u015f regresyon katsay\u0131lar\u0131 nas\u0131l hesaplan\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Tipik olarak, <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon-r\/\" target=\"_blank\" rel=\"noopener\">\u00e7oklu do\u011frusal regresyon<\/a> uygulad\u0131\u011f\u0131m\u0131zda, model \u00e7\u0131kt\u0131s\u0131nda elde edilen regresyon katsay\u0131lar\u0131 <strong>standartla\u015ft\u0131r\u0131lmaz<\/strong> , yani en uygun \u00e7izgiyi bulmak i\u00e7in ham verileri kullan\u0131rlar.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>model &lt;- lm(price ~ age + sqfeet, data=df)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bununla birlikte, her bir yorday\u0131c\u0131 de\u011fi\u015fkeni ve yan\u0131t de\u011fi\u015fkenini <strong>standartla\u015ft\u0131rmak<\/strong> (her de\u011fi\u015fkenin ortalama de\u011ferini orijinal de\u011ferlerden \u00e7\u0131kararak ve ard\u0131ndan bunu de\u011fi\u015fkenlerin standart sapmas\u0131na b\u00f6lerek) ve ard\u0131ndan bir regresyon \u00e7al\u0131\u015ft\u0131rmak m\u00fcmk\u00fcnd\u00fcr; bu da \u015fu sonucu verir: <strong>standartla\u015ft\u0131r\u0131lm\u0131\u015f regresyon katsay\u0131lar\u0131<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">R&#8217;de standartla\u015ft\u0131r\u0131lm\u0131\u015f regresyon katsay\u0131lar\u0131n\u0131 hesaplaman\u0131n en basit yolu, modeldeki her de\u011fi\u015fkeni standartla\u015ft\u0131rmak i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/rde-olcek-islevi\/\" target=\"_blank\" rel=\"noopener\">Scale()<\/a> i\u015flevini kullanmakt\u0131r:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>model &lt;- lm(scale(price) ~ scale(age) + scale(sqfeet), data=df)<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, standartla\u015ft\u0131r\u0131lm\u0131\u015f regresyon katsay\u0131lar\u0131n\u0131n pratikte nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h2> <strong>\u00d6rnek: R&#8217;de standartla\u015ft\u0131r\u0131lm\u0131\u015f regresyon katsay\u0131lar\u0131 nas\u0131l hesaplan\u0131r?<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">12 evin ya\u015f\u0131, metrekaresi ve sat\u0131\u015f fiyat\u0131na ili\u015fkin bilgileri 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\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (age=c(4, 7, 10, 15, 16, 18, 24, 28, 30, 35, 40, 44),\n                 sqfeet=c(2600, 2800, 1700, 1300, 1500, 1800,\n                          1200, 2200, 1800, 1900, 2100, 1300),\n                 price=c(280000, 340000, 195000, 180000, 150000, 200000,\n                         180000, 240000, 200000, 180000, 260000, 140000))\n\n<span style=\"color: #008080;\">#view data frame\n<\/span>df\n\n   age square feet price\n1 4 2600 280000\n2 7 2800 340000\n3 10 1700 195000\n4 15 1300 180000\n5 16 1500 150000\n6 18 1800 200000\n7 24 1200 180000\n8 28 2200 240000\n9 30 1800 200000\n10 35 1900 180000\n11 40 2100 260000\n12 44 1300 140000\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Daha sonra tahmin de\u011fi\u015fkenleri olarak <strong>ya\u015f<\/strong> ve <strong>metrekareyi<\/strong> ve yan\u0131t de\u011fi\u015fkeni olarak <strong>fiyat\u0131<\/strong> kullanarak \u00e7oklu do\u011frusal regresyon uygulad\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit regression model\n<\/span>model &lt;- lm(price ~ age + sqfeet, data=df)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(model)\n\nCall:\nlm(formula = price ~ age + sqfeet, data = df)\n\nResiduals:\n   Min 1Q Median 3Q Max \n-32038 -10526 -6139 21641 34060 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 34736.54 37184.32 0.934 0.374599    \nage -409.83 612.46 -0.669 0.520187    \nsqfeet 100.87 15.75 6.405 0.000125 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 24690 on 9 degrees of freedom\nMultiple R-squared: 0.8508, Adjusted R-squared: 0.8176 \nF-statistic: 25.65 on 2 and 9 DF, p-value: 0.0001916\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Model sonu\u00e7lar\u0131ndan <strong>standartla\u015ft\u0131r\u0131lmam\u0131\u015f regresyon katsay\u0131lar\u0131n\u0131<\/strong> g\u00f6rebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Kesi\u015fme: <strong>34736,54<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Ya\u015f: <strong>-409.83<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Metrekare: <strong>100,87<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0130lk bak\u0131\u015fta, regresyon tablosundaki katsay\u0131s\u0131 <strong>-409.833<\/strong> oldu\u011fundan, metrekare tahmin de\u011fi\u015fkeni i\u00e7in sadece <strong>100.866<\/strong> olan ya\u015f\u0131n gayrimenkul fiyat\u0131 \u00fczerinde \u00e7ok daha b\u00fcy\u00fck bir etkiye sahip oldu\u011fu g\u00f6r\u00fclmektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bununla birlikte, standart hata ya\u015fa g\u00f6re metrekareye g\u00f6re \u00e7ok daha b\u00fcy\u00fckt\u00fcr; bu nedenle kar\u015f\u0131l\u0131k gelen p de\u011feri asl\u0131nda ya\u015fa g\u00f6re b\u00fcy\u00fck (p = 0,520) ve metrekareye g\u00f6re k\u00fc\u00e7\u00fckt\u00fcr (p = 0,000).<\/span><\/p>\n<p> <span style=\"color: #000000;\">Regresyon katsay\u0131lar\u0131ndaki a\u015f\u0131r\u0131 farkl\u0131l\u0131klar\u0131n nedeni, iki de\u011fi\u015fken i\u00e7in \u00f6l\u00e7eklerdeki a\u015f\u0131r\u0131 farkl\u0131l\u0131klardan kaynaklanmaktad\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Ya\u015fa<\/strong> g\u00f6re de\u011ferler 4 ile 44 ya\u015f aras\u0131nda de\u011fi\u015fmektedir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Metrekare<\/strong> de\u011ferleri 1.200 ile 2.800 aras\u0131nda de\u011fi\u015fmektedir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bunun yerine ham verileri <strong>normalle\u015ftirdi\u011fimizi<\/strong> ve yeni bir regresyon modeline uydu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#standardize each variable and fit regression model\n<\/span>model_std &lt;- lm(scale(price) ~ scale(age) + scale(sqfeet), data=df)\n\n<span style=\"color: #008080;\">#turn off scientific notation<\/span>\noptions(scipen= <span style=\"color: #008000;\">999<\/span> )\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(model_std)\n\nCall:\nlm(formula = scale(price) ~ scale(age) + scale(sqfeet), data = df)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-0.5541 -0.1820 -0.1062 0.3743 0.5891 \n\nCoefficients:\n                            Estimate Std. Error t value Pr(&gt;|t|)\n(Intercept) -0.0000000000000002253 0.1232881457926768426 0.000 1.000000\nscale(age) -0.0924421263946849786 0.1381464029075653854 -0.669 0.520187\nscale(sqfeet) 0.8848591938302141635 0.1381464029075653577 6.405 0.000125\n                 \n(Intercept)      \nscale(age)       \nscale(sqfeet)***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 0.4271 on 9 degrees of freedom\nMultiple R-squared: 0.8508, Adjusted R-squared: 0.8176 \nF-statistic: 25.65 on 2 and 9 DF, p-value: 0.0001916\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bu tablodaki regresyon katsay\u0131lar\u0131 <strong>standartla\u015ft\u0131r\u0131lm\u0131\u015ft\u0131r<\/strong> , yani bu regresyon modeline uymak i\u00e7in standartla\u015ft\u0131r\u0131lm\u0131\u015f veriler kullan\u0131lm\u0131\u015ft\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tablodaki katsay\u0131lar\u0131n yorumlanma \u015fekli \u015fu \u015fekildedir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Metrekarenin sabit kald\u0131\u011f\u0131 varsay\u0131ld\u0131\u011f\u0131nda, <strong>ya\u015ftaki<\/strong> bir standart sapmal\u0131k art\u0131\u015f, ev fiyat\u0131nda <strong>0,092<\/strong> standart sapmal\u0131k bir d\u00fc\u015f\u00fc\u015fle ili\u015fkilidir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Ya\u015f\u0131n sabit kald\u0131\u011f\u0131 varsay\u0131ld\u0131\u011f\u0131nda <strong>, metrekaredeki<\/strong> bir standart sapmal\u0131k art\u0131\u015f, ev fiyat\u0131ndaki <strong>0,885<\/strong> standart sapmal\u0131k art\u0131\u015fla ili\u015fkilidir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Art\u0131k konut fiyatlar\u0131 \u00fczerinde metrekarenin ya\u015ftan \u00e7ok daha b\u00fcy\u00fck bir etkiye sahip oldu\u011funu g\u00f6rebiliyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not<\/strong> : Her yorday\u0131c\u0131 de\u011fi\u015fkenin p de\u011ferleri \u00f6nceki regresyon modelindekilerle tamamen ayn\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Hangi son modelin kullan\u0131laca\u011f\u0131na karar verirken, bir evin fiyat\u0131n\u0131 tahmin etmede <strong>metrekare boyutunun<\/strong> <strong>ya\u015f\u0131ndan<\/strong> \u00e7ok daha \u00f6nemli oldu\u011funu art\u0131k biliyoruz.<\/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\u011fitimler regresyon modelleri hakk\u0131nda ek bilgi sa\u011flar:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/regresyon-yorumlama-tablosunu-okuyun\/\" target=\"_blank\" rel=\"noopener noreferrer\">Regresyon tablosu nas\u0131l okunmal\u0131 ve yorumlanmal\u0131d\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/regresyon-katsayilari-nasil-yorumlanir\/\" target=\"_blank\" rel=\"noopener noreferrer\">Regresyon katsay\u0131lar\u0131 nas\u0131l yorumlan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-p-degeri\/\" target=\"_blank\" rel=\"noopener\">Do\u011frusal regresyonda P de\u011ferleri nas\u0131l yorumlan\u0131r<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tipik olarak, \u00e7oklu do\u011frusal regresyon uygulad\u0131\u011f\u0131m\u0131zda, model \u00e7\u0131kt\u0131s\u0131nda elde edilen regresyon katsay\u0131lar\u0131 standartla\u015ft\u0131r\u0131lmaz , yani en uygun \u00e7izgiyi bulmak i\u00e7in ham verileri kullan\u0131rlar. model &lt;- lm(price ~ age + sqfeet, data=df) Bununla birlikte, her bir yorday\u0131c\u0131 de\u011fi\u015fkeni ve yan\u0131t de\u011fi\u015fkenini standartla\u015ft\u0131rmak (her de\u011fi\u015fkenin ortalama de\u011ferini orijinal de\u011ferlerden \u00e7\u0131kararak ve ard\u0131ndan bunu de\u011fi\u015fkenlerin standart sapmas\u0131na b\u00f6lerek) [&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-4618","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - 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