{"id":1213,"date":"2023-07-27T06:42:18","date_gmt":"2023-07-27T06:42:18","guid":{"rendered":"https:\/\/statorials.org\/tr\/elle-coklu-dogrusal-regresyon\/"},"modified":"2023-07-27T06:42:18","modified_gmt":"2023-07-27T06:42:18","slug":"elle-coklu-dogrusal-regresyon","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/elle-coklu-dogrusal-regresyon\/","title":{"rendered":"Elle \u00e7oklu do\u011frusal regresyon (ad\u0131m ad\u0131m)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u00c7oklu do\u011frusal regresyon,<\/a> iki veya daha fazla \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fken ile bir <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener noreferrer\">yan\u0131t de\u011fi\u015fkeni<\/a> aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7mek i\u00e7in kullanabilece\u011fimiz bir y\u00f6ntemdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde \u00e7oklu do\u011frusal regresyonun manuel olarak nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: elle \u00e7oklu do\u011frusal regresyon<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir yan\u0131t de\u011fi\u015fkeni <em>y<\/em> ve iki tahmin de\u011fi\u015fkeni x <sub>1<\/sub> ve x <sub>2&#8217;den<\/sub> olu\u015fan a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12005 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multbyhand1.png\" alt=\"\" width=\"223\" height=\"193\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu veri k\u00fcmesine \u00e7oklu do\u011frusal regresyon modelini s\u0131\u011fd\u0131rmak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 tamamlay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: x <sub>1<\/sub> <sup>2<\/sup> , x <sub>2<\/sub> <sup>2<\/sup> , x <sub>1<\/sub> y, x <sub>2<\/sub> y ve x <sub>1<\/sub> x <sub>2&#8217;yi<\/sub> hesaplay\u0131n.<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12006 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multbyhand2.png\" alt=\"Elle \u00e7oklu do\u011frusal regresyon\" width=\"668\" height=\"239\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Regresyon toplamlar\u0131n\u0131 hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra a\u015fa\u011f\u0131daki regresyon toplam\u0131 hesaplamalar\u0131n\u0131 ger\u00e7ekle\u015ftirin:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><sub>\u03a3x12<\/sub> <sup>=<\/sup><\/span> <span style=\"color: #000000;\"><sup>\u03a3X12<\/sup> <sub>\u2013<\/sub> ( <sub>\u03a3X1<\/sub> ) <sup>2<\/sup> \/n = 38,767 \u2013 (555) <sup>2\/8<\/sup> = <strong>263,875<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><sub>\u03a3x22<\/sub> <sup>=<\/sup><\/span> <span style=\"color: #000000;\"><sup>\u03a3X22<\/sup> <sub>\u2013<\/sub> ( <sub>\u03a3X2<\/sub> ) <sup>2<\/sup> \/n = 2823 \u2013 (145) <sup>2\/8<\/sup> = <strong>194,875<\/strong><\/span><\/li>\n<li> \u03a3 <span style=\"color: #000000;\">x <sub>1<\/sub><\/span> <span style=\"color: #000000;\"><sub>y<\/sub> <sub>=<\/sub> <strong>\u03a3<\/strong><\/span><\/li>\n<li> \u03a3 <span style=\"color: #000000;\">x <sub>2<\/sub><\/span> <span style=\"color: #000000;\"><sub>y<\/sub> <sub>=<\/sub> <strong>\u03a3<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><sub>\u03a3<\/sub> <sub>x<\/sub> <sub>1<\/sub> <sub>x<\/sub> <strong>2<\/strong><\/span> <span style=\"color: #000000;\"><sub>=<\/sub> <sub>\u03a3<\/sub><\/span> <\/li>\n<\/ul>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12007 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multbyhand3.png\" alt=\"Elle yap\u0131lan \u00e7oklu do\u011frusal regresyon \u00f6rne\u011fi\" width=\"667\" height=\"278\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: b <sub>0<\/sub> , b <sub>1<\/sub> ve b <sub>2&#8217;yi<\/sub> hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">b <sub>1&#8217;i<\/sub> hesaplamak i\u00e7in kullan\u0131lan form\u00fcl \u015f\u00f6yledir: [(\u03a3x <sub>2<\/sub> <sup>2<\/sup> )(\u03a3x <sub>1<\/sub> y) \u2013 (\u03a3x <sub>1<\/sub> x <sub>2<\/sub> )(\u03a3x <sub>2<\/sub> y)] \/ [(\u03a3x <sub>1<\/sub> <sup>2<\/sup> )(\u03a3x <sub>2<\/sub> <sup>2<\/sup> ) \u2013 (\u03a3x <sub>1<\/sub> x <sub>2<\/sub> ) <sup>2<\/sup> ]<\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Yani, <strong>b <sub>1<\/sub><\/strong> = [(194,875)(1162,5) \u2013 (-200,375)(-953,5)] \/ [(263,875) (194,875) \u2013 (-200,375) <sup>2<\/sup> ] = <strong>3,148<\/strong><\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">b <sub>2&#8217;yi<\/sub> hesaplama form\u00fcl\u00fc \u015f\u00f6yledir: [(\u03a3x <sub>1<\/sub> <sup>2<\/sup> )(\u03a3x <sub>2<\/sub> y) \u2013 (\u03a3x <sub>1<\/sub> x <sub>2<\/sub> )(\u03a3x <sub>1<\/sub> y)] \/ [(\u03a3x <sub>1<\/sub> <sup>2<\/sup> )(\u03a3x <sub>2<\/sub> <sup>2<\/sup> ) \u2013 (\u03a3x <sub>1<\/sub> x <sub>2<\/sub> ) <sup>2<\/sup> ]<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yani, <strong>b <sub>2<\/sub><\/strong> = [(263,875)(-953,5) \u2013 (-200,375)(1152,5)] \/ [(263,875) (194,875) \u2013 (-200,375) <sup>2<\/sup> ] = <strong>-1,656<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">b <sub>0&#8217;\u0131<\/sub> hesaplama form\u00fcl\u00fc \u015f\u00f6yledir: <span style=\"text-decoration: overline;\">y<\/span> \u2013 b <sub>1<\/sub> <span style=\"text-decoration: overline;\">X<\/span> <sub>1<\/sub> \u2013 b <sub>2<\/sub> <span style=\"text-decoration: overline;\">X<\/span> <sub>2<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\">B\u00f6ylece, <strong>b <sub>0<\/sub><\/strong> = 181,5 \u2013 3,148(69,375) \u2013 (-1,656)(18,125) = <strong>-6,867<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 5: Tahmin edilen do\u011frusal regresyon denklemine b <sub>0<\/sub> , b <sub>1<\/sub> ve b <sub>2&#8217;yi<\/sub> yerle\u015ftirin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Tahmin edilen do\u011frusal regresyon denklemi \u015fu \u015fekildedir: \u0177 = b <sub>0<\/sub> + b <sub>1<\/sub> *x <sub>1<\/sub> + b <sub>2<\/sub> *x <sub>2<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fimizde <strong>\u0177 = -6,867 + 3,148x <sub>1<\/sub> \u2013 1,656x <sub>2<\/sub><\/strong><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00c7oklu do\u011frusal regresyon denklemi nas\u0131l yorumlan\u0131r<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bu tahmini do\u011frusal regresyon denklemini \u015fu \u015fekilde yorumlayabilirsiniz: \u0177 = -6,867 + 3,148x <sub>1<\/sub> \u2013 1,656x <sub>2<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><sub>b0<\/sub> = -6,867<\/strong> . Her iki yorday\u0131c\u0131 de\u011fi\u015fken de s\u0131f\u0131ra e\u015fit oldu\u011funda y&#8217;nin ortalama de\u011feri -6,867&#8217;dir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><sub>b1<\/sub> = 3,148<\/strong> . X <sub>2&#8217;nin sabit kald\u0131\u011f\u0131 varsay\u0131ld\u0131\u011f\u0131nda, x 1&#8217;deki<\/sub> <sub>bir<\/sub> birimlik art\u0131\u015f, y&#8217;deki ortalama 3,148 birimlik art\u0131\u015fla ili\u015fkilidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><sub>b2<\/sub> = -1,656<\/strong> . x <sub>1&#8217;in<\/sub> sabit kald\u0131\u011f\u0131 varsay\u0131ld\u0131\u011f\u0131nda, x <sub>2&#8217;deki<\/sub> bir birimlik art\u0131\u015f, y&#8217;deki ortalama 1.656 birimlik azalmayla ili\u015fkilidir.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Ek kaynaklar<\/span><\/strong><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u00c7oklu Do\u011frusal Regresyona Giri\u015f<\/a><br \/> Elle basit do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00c7oklu do\u011frusal regresyon, iki veya daha fazla \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fken ile bir yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7mek i\u00e7in kullanabilece\u011fimiz bir y\u00f6ntemdir. Bu e\u011fitimde \u00e7oklu do\u011frusal regresyonun manuel olarak nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r. \u00d6rnek: elle \u00e7oklu do\u011frusal regresyon Bir yan\u0131t de\u011fi\u015fkeni y ve iki tahmin de\u011fi\u015fkeni x 1 ve x 2&#8217;den olu\u015fan a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m: [&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-1213","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>Elle \u00c7oklu Do\u011frusal Regresyon (Ad\u0131m Ad\u0131m) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, \u00e7oklu do\u011frusal regresyonun manuel olarak nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi ad\u0131m ad\u0131m 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\/elle-coklu-dogrusal-regresyon\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Elle \u00c7oklu Do\u011frusal Regresyon (Ad\u0131m Ad\u0131m) - 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