{"id":4138,"date":"2023-07-13T08:30:26","date_gmt":"2023-07-13T08:30:26","guid":{"rendered":"https:\/\/statorials.org\/tr\/tablodan-dogrusal-regresyon-denklemini-bulun\/"},"modified":"2023-07-13T08:30:26","modified_gmt":"2023-07-13T08:30:26","slug":"tablodan-dogrusal-regresyon-denklemini-bulun","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/tablodan-dogrusal-regresyon-denklemini-bulun\/","title":{"rendered":"Bir tablodan do\u011frusal regresyon denklemi nas\u0131l bulunur?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Genellikle bir veri tablosundan do\u011frusal bir regresyon denklemi bulmak isteyebilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin a\u015fa\u011f\u0131daki veri tablosunu ald\u0131\u011f\u0131n\u0131z\u0131 varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-32869 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/equation_from_table1.png\" alt=\"\" width=\"151\" height=\"326\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki ad\u0131m ad\u0131m \u00f6rnek, bu veri tablosundan do\u011frusal bir regresyon denkleminin nas\u0131l bulunaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: X*Y, X <sup>2<\/sup> ve Y <sup>2&#8217;yi<\/sup> hesaplay\u0131n<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u00d6ncelikle her sat\u0131r i\u00e7in a\u015fa\u011f\u0131daki metrikleri hesaplayaca\u011f\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">x*y<\/span><\/li>\n<li> <span style=\"color: #000000;\"><sup>x2<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\">ve <sup>2<\/sup><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki ekran g\u00f6r\u00fcnt\u00fcs\u00fc bunun nas\u0131l yap\u0131laca\u011f\u0131n\u0131 g\u00f6sterir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-32870 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/etable1.png\" alt=\"\" width=\"403\" height=\"355\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: \u03a3X, \u03a3Y, \u03a3X*Y, \u03a3X <sup>2<\/sup> ve \u03a3Y <sup>2&#8217;yi<\/sup> hesaplay\u0131n<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Daha sonra her s\u00fctunun toplam\u0131n\u0131 hesaplayaca\u011f\u0131z:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-32871 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/etable2.png\" alt=\"\" width=\"460\" height=\"378\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: b <sub>0&#8217;\u0131<\/sub> hesaplay\u0131n<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Regresyon denkleminin kesim noktas\u0131n\u0131 (b <sub>0<\/sub> ) hesaplama form\u00fcl\u00fc \u015f\u00f6yledir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">b <sub>0<\/sub> = ((\u03a3y)(\u03a3x <sup>2<\/sup> ) \u2013 (\u03a3x)(\u03a3xy)) \/ (n(\u03a3x <sup>2<\/sup> ) \u2013 (\u03a3x) <sup>2<\/sup> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">b <sub>0<\/sub> = ((128)(831) \u2013 (85)(1258)) \/ (10(831) \u2013 (85) <sup>2<\/sup> )<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>b0<\/sub> = -0,518<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Not<\/strong> : Form\u00fclde <em>n<\/em> , toplam g\u00f6zlem say\u0131s\u0131n\u0131 temsil etmektedir. Bu \u00f6rnekte toplamda 10 g\u00f6zlem vard\u0131.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: b <sub>1&#8217;i<\/sub> hesaplay\u0131n<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Regresyon denkleminin e\u011fimini (b <sub>1)<\/sub> hesaplama form\u00fcl\u00fc \u015f\u00f6yledir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">b <sub>1<\/sub> = (n(\u03a3xy) \u2013 (\u03a3x)(\u03a3y)) \/ (n(\u03a3x <sup>2<\/sup> ) \u2013 (\u03a3x) <sup>2<\/sup> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">b <sub>1<\/sub> = (10(1258) \u2013 (85)(128)) \/ (10(831) \u2013 (85) <sup>2<\/sup> )<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>b1<\/sub> = 1,5668<\/strong><\/span><\/li>\n<\/ul>\n<h2> <span style=\"color: #000000;\"><strong>Ad\u0131m 5: Do\u011frusal regresyon denklemini yaz\u0131n<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Son do\u011frusal regresyon denklemi \u015fu \u015fekilde yaz\u0131labilir:<\/span><\/p>\n<ul>\n<li> <strong><span style=\"color: #000000;\">\u0177 = b <sub>0<\/sub> + b <sub>1<\/sub> x<\/span><\/strong><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla do\u011frusal regresyon denklemimiz \u015fu \u015fekilde yaz\u0131l\u0131r:<\/span><\/p>\n<ul>\n<li> <strong><span style=\"color: #000000;\">\u0177 = -0,518 + 1,5668x<\/span><\/strong><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Tablodaki de\u011ferleri <a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">basit do\u011frusal regresyon hesaplay\u0131c\u0131s\u0131na<\/a> yerle\u015ftirerek bu cevab\u0131n do\u011fru oldu\u011funu do\u011frulayabiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-32872 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/etable3.png\" alt=\"\" width=\"364\" height=\"635\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Hesap makinesindeki do\u011frusal regresyon denkleminin manuel olarak hesaplad\u0131\u011f\u0131m\u0131z denklemle e\u015fle\u015fti\u011fini g\u00f6rebiliriz.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> A\u015fa\u011f\u0131daki e\u011fitimler do\u011frusal regresyon hakk\u0131nda ek bilgi sa\u011flar:<\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/\" target=\"_blank\" rel=\"noopener\">Basit Do\u011frusal Regresyona Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">\u00c7oklu Do\u011frusal Regresyona Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/regresyon-katsayilari-nasil-yorumlanir\/\" target=\"_blank\" rel=\"noopener\">Regresyon katsay\u0131lar\u0131 nas\u0131l yorumlan\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Genellikle bir veri tablosundan do\u011frusal bir regresyon denklemi bulmak isteyebilirsiniz. \u00d6rne\u011fin a\u015fa\u011f\u0131daki veri tablosunu ald\u0131\u011f\u0131n\u0131z\u0131 varsayal\u0131m: A\u015fa\u011f\u0131daki ad\u0131m ad\u0131m \u00f6rnek, bu veri tablosundan do\u011frusal bir regresyon denkleminin nas\u0131l bulunaca\u011f\u0131n\u0131 g\u00f6sterir. Ad\u0131m 1: X*Y, X 2 ve Y 2&#8217;yi hesaplay\u0131n \u00d6ncelikle her sat\u0131r i\u00e7in a\u015fa\u011f\u0131daki metrikleri hesaplayaca\u011f\u0131z: x*y x2 ve 2 A\u015fa\u011f\u0131daki ekran g\u00f6r\u00fcnt\u00fcs\u00fc bunun nas\u0131l [&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-4138","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>Bir tablodan do\u011frusal regresyon denklemi nas\u0131l bulunur - Statoryaller<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, ad\u0131m ad\u0131m bir \u00f6rnekle veri tablosundan do\u011frusal regresyon denkleminin nas\u0131l bulunaca\u011f\u0131 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\/tablodan-dogrusal-regresyon-denklemini-bulun\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Bir tablodan do\u011frusal regresyon denklemi nas\u0131l bulunur - 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