{"id":614,"date":"2023-07-29T08:12:06","date_gmt":"2023-07-29T08:12:06","guid":{"rendered":"https:\/\/statorials.org\/tr\/basit-dogrusal-regresyon-istatistigi\/"},"modified":"2023-07-29T08:12:06","modified_gmt":"2023-07-29T08:12:06","slug":"basit-dogrusal-regresyon-istatistigi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/basit-dogrusal-regresyon-istatistigi\/","title":{"rendered":"Stata&#39;da basit do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Basit do\u011frusal regresyon,<\/strong> a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken x ile yan\u0131t de\u011fi\u015fkeni y aras\u0131ndaki ili\u015fkiyi anlamak i\u00e7in kullanabilece\u011finiz bir y\u00f6ntemdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde Stata&#8217;da basit bir do\u011frusal regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek: Stata&#8217;da Basit Do\u011frusal Regresyon<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Bir araban\u0131n a\u011f\u0131rl\u0131\u011f\u0131 ile galon ba\u015f\u0131na kat etti\u011fi mesafe aras\u0131ndaki ili\u015fkiyi anlamak istedi\u011fimizi varsayal\u0131m. Bu ili\u015fkiyi ara\u015ft\u0131rmak i\u00e7in, a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken olarak a\u011f\u0131rl\u0131\u011f\u0131 ve yan\u0131t de\u011fi\u015fkeni olarak galon ba\u015f\u0131na mili kullanarak basit bir do\u011frusal regresyon ger\u00e7ekle\u015ftirebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">74 farkl\u0131 arabaya ili\u015fkin verileri i\u00e7eren <em>auto<\/em> adl\u0131 veri k\u00fcmesini kullanarak basit bir do\u011frusal regresyon ger\u00e7ekle\u015ftirmek i\u00e7in Stata&#8217;da a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 tamamlay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Verileri y\u00fckleyin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Komut kutusuna a\u015fa\u011f\u0131dakini yazarak verileri y\u00fckleyin:<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>https:\/\/www.stata-press.com\/data\/r13\/auto adresini kullan\u0131n<\/strong><\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Bir veri \u00f6zeti al\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Komut kutusuna a\u015fa\u011f\u0131dakini yazarak, \u00fczerinde \u00e7al\u0131\u015ft\u0131\u011f\u0131n\u0131z verileri h\u0131zl\u0131 bir \u015fekilde anlay\u0131n:<\/span><\/p>\n<blockquote>\n<p> <strong><span style=\"color: #000000;\">\u00f6zetlemek<\/span><\/strong> <\/p>\n<\/blockquote>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5755 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/simpleregressionstata1.png\" alt=\"Stata'daki verileri \u00f6zetleme\" width=\"585\" height=\"406\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Veri setinde 12 farkl\u0131 de\u011fi\u015fken oldu\u011funu g\u00f6rebiliriz ancak \u00f6nemsedi\u011fimiz sadece ikisi <em>mpg<\/em> <em>ve a\u011f\u0131rl\u0131kt\u0131r<\/em> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Verileri g\u00f6rselle\u015ftirin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Basit bir do\u011frusal regresyon ger\u00e7ekle\u015ftirmeden \u00f6nce, bu iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi g\u00f6rselle\u015ftirebilmemiz ve bariz ayk\u0131r\u0131 de\u011ferleri kontrol edebilmemiz i\u00e7in \u00f6ncelikle a\u011f\u0131rl\u0131k ve mpg&#8217;nin da\u011f\u0131l\u0131m grafi\u011fini olu\u015ftural\u0131m. Da\u011f\u0131l\u0131m grafi\u011fi olu\u015fturmak i\u00e7in Komut kutusuna a\u015fa\u011f\u0131dakini yaz\u0131n:<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>mpg a\u011f\u0131rl\u0131k da\u011f\u0131l\u0131m\u0131<\/strong><\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Bu, a\u015fa\u011f\u0131daki da\u011f\u0131l\u0131m grafi\u011fini \u00fcretir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5756 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/simpleregressionstata2.png\" alt=\"Stata'daki da\u011f\u0131l\u0131m grafi\u011fi\" width=\"576\" height=\"417\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Daha y\u00fcksek a\u011f\u0131rl\u0131\u011fa sahip arabalar\u0131n galon ba\u015f\u0131na daha az kilometre kat etme e\u011filiminde oldu\u011funu g\u00f6rebiliriz. Bu ili\u015fkiyi \u00f6l\u00e7mek i\u00e7in \u015fimdi basit bir do\u011frusal regresyon ger\u00e7ekle\u015ftirece\u011fiz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: Basit bir do\u011frusal regresyon ger\u00e7ekle\u015ftirin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken olarak a\u011f\u0131rl\u0131\u011f\u0131 ve yan\u0131t de\u011fi\u015fkeni olarak mpg&#8217;yi kullanarak basit bir do\u011frusal regresyon ger\u00e7ekle\u015ftirmek i\u00e7in Komut kutusuna a\u015fa\u011f\u0131dakini yaz\u0131n.<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>a\u011f\u0131rl\u0131\u011f\u0131 mpg&#8217;ye gerile<\/strong><\/span> <\/p>\n<\/blockquote>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5757 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/simpleregressionstata3.png\" alt=\"Stata'da regresyon sonu\u00e7lar\u0131n\u0131 yorumlama\" width=\"605\" height=\"276\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Sonu\u00e7taki en ilgin\u00e7 say\u0131lar\u0131 nas\u0131l yorumlayaca\u011f\u0131n\u0131z a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>R kare:<\/strong> 0,6515. Bu, a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken taraf\u0131ndan a\u00e7\u0131klanabilen yan\u0131t de\u011fi\u015fkenindeki varyans\u0131n oran\u0131d\u0131r. Bu \u00f6rnekte mpg&#8217;deki de\u011fi\u015fimin %65,15&#8217;i a\u011f\u0131rl\u0131kla a\u00e7\u0131klanabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Katsay\u0131s\u0131 (a\u011f\u0131rl\u0131k):<\/strong> -0,006. Bu bize a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkendeki bir birimlik art\u0131\u015fla ili\u015fkili yan\u0131t de\u011fi\u015fkenindeki ortalama de\u011fi\u015fimi anlat\u0131r. Bu \u00f6rnekte, a\u011f\u0131rl\u0131ktaki her bir poundluk art\u0131\u015f, ortalama 0,006 mpg&#8217;lik bir azalmayla ili\u015fkilidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Katsay\u0131 (_cons):<\/strong> 39.44028. Bu bize a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken s\u0131f\u0131r oldu\u011funda yan\u0131t de\u011fi\u015fkeninin ortalama de\u011ferini verir. Bu \u00f6rnekte, bir araban\u0131n a\u011f\u0131rl\u0131\u011f\u0131 s\u0131f\u0131r oldu\u011funda ortalama mpg 39,44028&#8217;dir. Bir araban\u0131n a\u011f\u0131rl\u0131\u011f\u0131 s\u0131f\u0131r olamayaca\u011f\u0131ndan bunu yorumlamak ger\u00e7ekten mant\u0131kl\u0131 de\u011fil, ancak 39.44028 say\u0131s\u0131 bir regresyon denklemi olu\u015fturmak i\u00e7in gereklidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P&gt;|t| (a\u011f\u0131rl\u0131k):<\/strong> 0,000. Bu, a\u011f\u0131rl\u0131k i\u00e7in test istatisti\u011fiyle ili\u015fkili p de\u011feridir. Bu durumda bu de\u011fer 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan a\u011f\u0131rl\u0131k ile mpg aras\u0131nda istatistiksel olarak anlaml\u0131 bir ili\u015fkinin oldu\u011fu sonucuna varabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Regresyon denklemi:<\/strong> Son olarak iki katsay\u0131 de\u011ferini kullanarak bir regresyon denklemi olu\u015fturabiliriz. Bu durumda denklem \u015fu \u015fekilde olacakt\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">tahmin edilen mpg = 39,44028 \u2013 0,0060087*(a\u011f\u0131rl\u0131k)<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u011f\u0131rl\u0131\u011f\u0131 g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda bir araban\u0131n beklenen mpg&#8217;sini bulmak i\u00e7in bu denklemi kullanabiliriz. \u00d6rne\u011fin, 4.000 pound a\u011f\u0131rl\u0131\u011f\u0131ndaki bir araban\u0131n mpg&#8217;si 15.405 olmal\u0131d\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">tahmin edilen mpg = 39,44028 \u2013 0,0060087*(4000) = 15,405<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 5: Sonu\u00e7lar\u0131 rapor edin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Son olarak basit do\u011frusal regresyonumuzun sonu\u00e7lar\u0131n\u0131 bildirmek istiyoruz. \u0130\u015fte bunun nas\u0131l yap\u0131laca\u011f\u0131na dair bir \u00f6rnek:<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\">Bir araban\u0131n a\u011f\u0131rl\u0131\u011f\u0131 ile galon ba\u015f\u0131na kat etti\u011fi mesafe aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7mek i\u00e7in do\u011frusal bir regresyon ger\u00e7ekle\u015ftirildi. Analizde 74 arabadan olu\u015fan bir \u00f6rnek kullan\u0131ld\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Sonu\u00e7lar, a\u011f\u0131rl\u0131k ile mpg aras\u0131nda istatistiksel olarak anlaml\u0131 bir ili\u015fki oldu\u011funu (t = -11,60, p &lt; 0,0001) ve a\u011f\u0131rl\u0131\u011f\u0131n mpg&#8217;de a\u00e7\u0131klanan de\u011fi\u015fkenli\u011fin %65,15&#8217;ini olu\u015fturdu\u011funu g\u00f6sterdi.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Regresyon denklemi \u015fu \u015fekilde ortaya \u00e7\u0131kt\u0131:<\/span><\/p>\n<p> <span style=\"color: #000000;\">tahmin edilen mpg = 39,44 \u2013 0,006 (a\u011f\u0131rl\u0131k)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her ilave pound, ortalama olarak galon ba\u015f\u0131na -0,006 mil d\u00fc\u015f\u00fc\u015fle ili\u015fkilendirildi.<\/span><\/p>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>Basit do\u011frusal regresyon, a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken x ile yan\u0131t de\u011fi\u015fkeni y aras\u0131ndaki ili\u015fkiyi anlamak i\u00e7in kullanabilece\u011finiz bir y\u00f6ntemdir. Bu e\u011fitimde Stata&#8217;da basit bir do\u011frusal regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r. \u00d6rnek: Stata&#8217;da Basit Do\u011frusal Regresyon Bir araban\u0131n a\u011f\u0131rl\u0131\u011f\u0131 ile galon ba\u015f\u0131na kat etti\u011fi mesafe aras\u0131ndaki ili\u015fkiyi anlamak istedi\u011fimizi varsayal\u0131m. Bu ili\u015fkiyi ara\u015ft\u0131rmak i\u00e7in, a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken olarak a\u011f\u0131rl\u0131\u011f\u0131 ve [&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-614","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>Stata&#039;da basit do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir - Statorials<\/title>\n<meta name=\"description\" content=\"Ad\u0131m ad\u0131m \u00f6rnek de dahil olmak \u00fczere Stata&#039;da basit do\u011frusal regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin basit bir a\u00e7\u0131klama.\" \/>\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\/basit-dogrusal-regresyon-istatistigi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Stata&#039;da basit do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir - 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