{"id":1406,"date":"2023-07-26T12:37:50","date_gmt":"2023-07-26T12:37:50","guid":{"rendered":"https:\/\/statorials.org\/tr\/rdeki-kukla-degiskenler\/"},"modified":"2023-07-26T12:37:50","modified_gmt":"2023-07-26T12:37:50","slug":"rdeki-kukla-degiskenler","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rdeki-kukla-degiskenler\/","title":{"rendered":"R&#39;de kukla de\u011fi\u015fkenler nas\u0131l olu\u015fturulur (ad\u0131m ad\u0131m)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/regresyon-kukla-degiskenleri\/\" target=\"_blank\" rel=\"noopener\">Kukla de\u011fi\u015fken,<\/a> kategorik bir de\u011fi\u015fkeni iki de\u011ferden birini alan say\u0131sal bir de\u011fi\u015fken olarak temsil edebilmemiz i\u00e7in regresyon analizinde olu\u015fturdu\u011fumuz bir de\u011fi\u015fken t\u00fcr\u00fcd\u00fcr: s\u0131f\u0131r veya bir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu ve <em>geliri<\/em> tahmin etmek i\u00e7in <em>ya\u015f<\/em> ve <em>medeni durumu<\/em> kullanmak istedi\u011fimizi varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13944 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mannequin4.png\" alt=\"\" width=\"246\" height=\"309\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><em>Medeni durumu<\/em> bir regresyon modelinde yorday\u0131c\u0131 de\u011fi\u015fken olarak kullanmak i\u00e7in onu kukla de\u011fi\u015fkene d\u00f6n\u00fc\u015ft\u00fcrmemiz gerekir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u015fu anda \u00fc\u00e7 farkl\u0131 de\u011fer alabilen kategorik bir de\u011fi\u015fken oldu\u011fundan (&#8220;Bekar&#8221;, &#8220;Evli&#8221; veya &#8220;Bo\u015fanm\u0131\u015f&#8221;) <em>k<\/em> -1 = 3-1 = 2 kukla de\u011fi\u015fken olu\u015fturmam\u0131z gerekiyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu kukla de\u011fi\u015fkeni olu\u015fturmak i\u00e7in, en s\u0131k g\u00f6r\u00fcnd\u00fc\u011f\u00fc i\u00e7in temel de\u011fer olarak &#8220;Tek&#8221; b\u0131rakabiliriz. \u0130\u015fte <em>medeni durumu<\/em> kukla de\u011fi\u015fkenlere nas\u0131l d\u00f6n\u00fc\u015ft\u00fcrece\u011fimiz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13950 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mannequin6.png\" alt=\"\" width=\"615\" height=\"311\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde, R&#8217;de bu kesin veri k\u00fcmesi i\u00e7in kukla de\u011fi\u015fkenlerin nas\u0131l olu\u015fturulaca\u011f\u0131 ve ard\u0131ndan bu kukla de\u011fi\u015fkenleri \u00f6ng\u00f6r\u00fcc\u00fc olarak kullanarak regresyon analizinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi konusunda ad\u0131m ad\u0131m bir \u00f6rnek sunulmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>1. Ad\u0131m: Verileri olu\u015fturun<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00d6ncelikle R&#8217;de veri k\u00fcmesini olu\u015ftural\u0131m:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame<\/span>\ndf &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (income=c(45000, 48000, 54000, 57000, 65000, 69000,\n                          78000, 83000, 98000, 104000, 107000),\n                 age=c(23, 25, 24, 29, 38, 36, 40, 59, 56, 64, 53),\n                 status=c('Single', 'Single', 'Single', 'Single',\n                          'Married', 'Single', 'Married', 'Divorced',\n                          'Divorced', 'Married', 'Married'))\n\n<span style=\"color: #008080;\">#view data frame\n<\/span>df\n\n   income age status\n1 45000 23 Single\n2 48000 25 Single\n3 54000 24 Single\n4 57000 29 Single\n5 65000 38 Married\n6 69000 36 Single\n7 78000 40 Married\n8 83000 59 Divorced\n9 98000 56 Divorced\n10 104000 64 Married\n11 107000 53 Married<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Kukla De\u011fi\u015fkenleri Olu\u015fturun<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra, kukla de\u011fi\u015fkenleri tan\u0131mlamak i\u00e7in R&#8217;deki <strong>ifelse()<\/strong> fonksiyonunu kullanabiliriz ve ard\u0131ndan regresyon modelini olu\u015fturmak i\u00e7in kullanmak istedi\u011fimiz son veri \u00e7er\u00e7evesini tan\u0131mlayabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create dummy variables<\/span>\nmarried &lt;- <span style=\"color: #3366ff;\">ifelse<\/span> (df$status <span style=\"color: #993300;\">==<\/span> ' <span style=\"color: #008000;\">Married<\/span> ', 1, 0)\ndivorced &lt;- <span style=\"color: #3366ff;\">ifelse<\/span> (df$status <span style=\"color: #993300;\">==<\/span> ' <span style=\"color: #008000;\">Divorced<\/span> ', 1, 0)\n\n<span style=\"color: #008080;\">#create data frame to use for regression\n<\/span>df_reg &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (income = df$income,\n                     age = df$age,\n                     married = married,\n                     divorced = divorced)\n\n<span style=\"color: #008080;\">#view data frame\n<\/span>df_reg\n\n   income age married divorced\n1 45000 23 0 0\n2 48000 25 0 0\n3 54000 24 0 0\n4 57000 29 0 0\n5 65000 38 1 0\n6 69000 36 0 0\n7 78000 40 1 0\n8 83000 59 0 1\n9 98000 56 0 1\n10 104000 64 1 0\n11 107000 53 1 0\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Do\u011frusal Regresyon Ger\u00e7ekle\u015ftirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Son olarak, \u00e7oklu do\u011frusal regresyon modeline uyum sa\u011flamak i\u00e7in <strong>lm()<\/strong> fonksiyonunu kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create regression model\n<\/span>model &lt;- <span style=\"color: #3366ff;\">lm<\/span> (income ~ age + married + divorced, data=df_reg)\n\n<span style=\"color: #008080;\">#view regression model output\n<\/span>summary(model)\n\nCall:\nlm(formula = income ~ age + married + divorced, data = df_reg)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-9707.5 -5033.8 45.3 3390.4 12245.4 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)   \n(Intercept) 14276.1 10411.5 1.371 0.21266   \nage 1471.7 354.4 4.152 0.00428 **\nmarried 2479.7 9431.3 0.263 0.80018   \ndivorced -8397.4 12771.4 -0.658 0.53187   \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 8391 on 7 degrees of freedom\nMultiple R-squared: 0.9008, Adjusted R-squared: 0.8584 \nF-statistic: 21.2 on 3 and 7 DF, p-value: 0.0006865\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Tak\u0131lan regresyon \u00e7izgisi \u015fu \u015fekilde ortaya \u00e7\u0131k\u0131yor:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Gelir = 14.276,1 + 1.471,7*(ya\u015f) + 2.479,7*(evli) \u2013 8.397,4*(bo\u015fanm\u0131\u015f)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir bireyin ya\u015f\u0131na ve medeni durumuna g\u00f6re tahmini gelirini bulmak i\u00e7in bu denklemi kullanabiliriz. \u00d6rne\u011fin, 35 ya\u015f\u0131nda ve evli bir ki\u015finin tahmini geliri <strong>68.264 ABD Dolar\u0131<\/strong> olacakt\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Gelir = 14.276,2 + 1.471,7*(35) + 2.479,7*(1) \u2013 8.397,4*(0) = 68.264 ABD Dolar\u0131<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tablodaki regresyon katsay\u0131lar\u0131n\u0131 \u015fu \u015fekilde yorumlayabilirsiniz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Kesi\u015fme:<\/strong> Kesi\u015fme, s\u0131f\u0131r ya\u015f\u0131ndaki tek bir ki\u015finin ortalama gelirini temsil eder. A\u00e7\u0131k\u00e7as\u0131 s\u0131f\u0131r y\u0131la sahip olamazs\u0131n\u0131z, dolay\u0131s\u0131yla bu \u00f6zel regresyon modelinde kesi\u015fimi tek ba\u015f\u0131na yorumlaman\u0131n bir anlam\u0131 yoktur.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Ya\u015f:<\/strong> Ya\u015ftaki her y\u0131ll\u0131k art\u0131\u015f, gelirde ortalama 1.471,70 ABD dolar\u0131 art\u0131\u015fla ili\u015fkilidir. P de\u011feri (0,004) 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan ya\u015f, gelirin istatistiksel olarak anlaml\u0131 bir g\u00f6stergesidir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Evli:<\/strong> Evli bir ki\u015fi, bekar bir ki\u015fiden ortalama 2.479,70 $ daha fazla kazan\u0131yor. P de\u011feri (0,800) 0,05&#8217;ten k\u00fc\u00e7\u00fck olmad\u0131\u011f\u0131ndan bu fark istatistiksel olarak anlaml\u0131 de\u011fildir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Bo\u015fanm\u0131\u015f:<\/strong> Bo\u015fanm\u0131\u015f bir ki\u015fi, bekar bir ki\u015fiden ortalama 8.397,40 dolar daha az kazan\u0131yor. P de\u011feri (0,532) 0,05&#8217;ten k\u00fc\u00e7\u00fck olmad\u0131\u011f\u0131ndan bu fark istatistiksel olarak anlaml\u0131 de\u011fildir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Her iki kukla de\u011fi\u015fken de istatistiksel olarak anlaml\u0131 olmad\u0131\u011f\u0131ndan, gelire \u00f6ng\u00f6r\u00fcc\u00fc bir de\u011fer katmad\u0131\u011f\u0131 i\u00e7in <em>medeni durumu<\/em> bir yorday\u0131c\u0131 olarak modelden \u00e7\u0131karabilirdik.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kukla de\u011fi\u015fken, kategorik bir de\u011fi\u015fkeni iki de\u011ferden birini alan say\u0131sal bir de\u011fi\u015fken olarak temsil edebilmemiz i\u00e7in regresyon analizinde olu\u015fturdu\u011fumuz bir de\u011fi\u015fken t\u00fcr\u00fcd\u00fcr: s\u0131f\u0131r veya bir. \u00d6rne\u011fin, a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu ve geliri tahmin etmek i\u00e7in ya\u015f ve medeni durumu kullanmak istedi\u011fimizi varsayal\u0131m: Medeni durumu bir regresyon modelinde yorday\u0131c\u0131 de\u011fi\u015fken olarak kullanmak i\u00e7in onu kukla [&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-1406","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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