{"id":2181,"date":"2023-07-23T09:00:43","date_gmt":"2023-07-23T09:00:43","guid":{"rendered":"https:\/\/statorials.org\/tr\/polinom-regresyonu-ne-zaman-kullanilir\/"},"modified":"2023-07-23T09:00:43","modified_gmt":"2023-07-23T09:00:43","slug":"polinom-regresyonu-ne-zaman-kullanilir","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/polinom-regresyonu-ne-zaman-kullanilir\/","title":{"rendered":"Polinom regresyonunu ne zaman kullanmal\u0131s\u0131n\u0131z?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Polinom regresyon,<\/strong> yorday\u0131c\u0131 de\u011fi\u015fken(ler) ile yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ili\u015fki do\u011frusal olmad\u0131\u011f\u0131nda bir regresyon modeline uymak i\u00e7in kullanabilece\u011fimiz bir tekniktir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir polinom regresyon modeli a\u015fa\u011f\u0131daki formu al\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Y = \u03b2 <sub>0<\/sub> <sup>+<\/sup> \u03b2 <sub>1<\/sub> X + \u03b2 <sub>2<\/sub> X <sup>2<\/sup> + \u2026 + \u03b2 <sub>h<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\">Pratikte, <a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/\" target=\"_blank\" rel=\"noopener\">do\u011frusal regresyon<\/a> gibi daha basit bir model yerine polinom regresyonunu mu kullanman\u0131z gerekti\u011fini belirlemenin \u00fc\u00e7 basit yolu vard\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>1. Tahmin de\u011fi\u015fkeninin ve yan\u0131t de\u011fi\u015fkeninin da\u011f\u0131l\u0131m grafi\u011fini olu\u015fturun<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Polinom regresyonunu kullanman\u0131z gerekip gerekmedi\u011fini belirlemenin en kolay yolu, tahmin de\u011fi\u015fkeni ve yan\u0131t de\u011fi\u015fkeninin basit bir da\u011f\u0131l\u0131m grafi\u011fini olu\u015fturmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir \u00f6\u011frencinin final s\u0131nav\u0131nda alaca\u011f\u0131 notu tahmin etmek i\u00e7in &#8220;\u00e7al\u0131\u015fma saatleri&#8221; tahmin de\u011fi\u015fkenini kullanmak istedi\u011fimizi varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir regresyon modeli yerle\u015ftirmeden \u00f6nce, ilk olarak s\u0131nav sonu\u00e7lar\u0131na g\u00f6re \u00e7al\u0131\u015f\u0131lan saatlerin da\u011f\u0131l\u0131m grafi\u011fini olu\u015fturabiliriz. Da\u011f\u0131l\u0131m grafi\u011fimizin \u015f\u00f6yle g\u00f6r\u00fcnd\u00fc\u011f\u00fcn\u00fc varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20136 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quandpol1.png\" alt=\"\" width=\"436\" height=\"405\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00c7al\u0131\u015f\u0131lan saatlerle s\u0131nav sonu\u00e7lar\u0131 aras\u0131ndaki ili\u015fki <strong>do\u011frusal<\/strong> g\u00f6r\u00fcnmektedir, bu nedenle bu veri setine basit bir do\u011frusal regresyon modeli uydurmak mant\u0131kl\u0131 olacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak da\u011f\u0131l\u0131m grafi\u011finin asl\u0131nda a\u015fa\u011f\u0131daki gibi g\u00f6r\u00fcnd\u00fc\u011f\u00fcn\u00fc varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20137 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quandpol2.png\" alt=\"\" width=\"436\" height=\"397\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu ili\u015fki biraz daha <strong>do\u011frusal olmayan<\/strong> bir ili\u015fki gibi g\u00f6r\u00fcn\u00fcyor, bu da bize bunun yerine polinom regresyon modelini yerle\u015ftirmenin ak\u0131ll\u0131ca olabilece\u011fini s\u00f6yl\u00fcyor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>2. Tak\u0131lan ve kalan de\u011ferlerin grafi\u011fini olu\u015fturun<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Polinom regresyonunu kullanman\u0131z gerekip gerekmedi\u011fini belirlemenin ba\u015fka bir yolu, veri setine do\u011frusal bir regresyon modeli s\u0131\u011fd\u0131rmak ve ard\u0131ndan model i\u00e7in <strong>art\u0131klara kar\u015f\u0131 uydurulmu\u015f de\u011ferlerin bir grafi\u011fini<\/strong> olu\u015fturmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Art\u0131klarda net bir do\u011frusal olmayan e\u011filim varsa bu, polinom regresyonunun verilere daha iyi uyum sa\u011flayabilece\u011fini g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, yorday\u0131c\u0131 de\u011fi\u015fken olarak \u00e7al\u0131\u015f\u0131lan saatleri ve yan\u0131t de\u011fi\u015fkeni olarak s\u0131nav puan\u0131n\u0131 kullanarak do\u011frusal bir regresyon modeli uygulad\u0131\u011f\u0131m\u0131z\u0131 ve ard\u0131ndan art\u0131klara kar\u015f\u0131 uydurulmu\u015f de\u011ferlerin a\u015fa\u011f\u0131daki grafi\u011fini olu\u015fturdu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20139 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quandpol4.png\" alt=\"\" width=\"436\" height=\"421\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Art\u0131klar, net bir model olmadan s\u0131f\u0131r etraf\u0131nda rastgele da\u011f\u0131lm\u0131\u015ft\u0131r; bu, do\u011frusal bir modelin verilere uygun bir uyum sa\u011flad\u0131\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak, uydurulmu\u015f de\u011ferlerin art\u0131klara kar\u015f\u0131 grafi\u011finin asl\u0131nda a\u015fa\u011f\u0131daki gibi g\u00f6r\u00fcnd\u00fc\u011f\u00fcn\u00fc varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20138 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quandpol3.png\" alt=\"\" width=\"440\" height=\"438\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Grafikten, art\u0131klarda net bir do\u011frusal olmayan model oldu\u011funu g\u00f6rebiliriz; art\u0131klar bir &#8220;U&#8221; \u015fekli sergiler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu bize, bu belirli veri i\u00e7in do\u011frusal bir modelin uygun olmad\u0131\u011f\u0131n\u0131 ve bunun yerine polinom regresyon modelinin uygulanmas\u0131n\u0131n ak\u0131ll\u0131ca olabilece\u011fini s\u00f6yler.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>3. Modelin d\u00fczeltilmi\u015f R-kare de\u011ferini hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Polinom regresyonunu kullanman\u0131z gerekip gerekmedi\u011fini belirlemenin ba\u015fka bir yolu da hem do\u011frusal regresyon modelini hem de polinom regresyon modelini s\u0131\u011fd\u0131rmak ve her iki model i\u00e7in uygun R-kare de\u011ferlerini hesaplamakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">D\u00fczeltilmi\u015f R-kare, modeldeki yorday\u0131c\u0131 de\u011fi\u015fkenlerin say\u0131s\u0131na g\u00f6re <em>ayarlanan<\/em> , yan\u0131t de\u011fi\u015fkenindeki modeldeki yorday\u0131c\u0131 de\u011fi\u015fkenler taraf\u0131ndan a\u00e7\u0131klanabilen varyans\u0131n oran\u0131n\u0131 temsil eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">En y\u00fcksek d\u00fczeltilmi\u015f R karesine sahip model, yan\u0131t de\u011fi\u015fkenindeki de\u011fi\u015fimi a\u00e7\u0131klamak i\u00e7in yorday\u0131c\u0131 de\u011fi\u015fken(ler)i en iyi \u015fekilde kullanabilen modeli temsil eder.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde farkl\u0131 istatistiksel yaz\u0131l\u0131mlar kullan\u0131larak polinom regresyonunun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/polinom-regresyonu-1\/\" target=\"_blank\" rel=\"noopener\">Polinom Regresyona Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/polinom-regresyon-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de polinom regresyonu nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/polinom-regresyon-pitonu\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da polinom regresyonu nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/polinom-regresyon-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de Polinom Regresyon Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Polinom regresyon, yorday\u0131c\u0131 de\u011fi\u015fken(ler) ile yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ili\u015fki do\u011frusal olmad\u0131\u011f\u0131nda bir regresyon modeline uymak i\u00e7in kullanabilece\u011fimiz bir tekniktir. Bir polinom regresyon modeli a\u015fa\u011f\u0131daki formu al\u0131r: Y = \u03b2 0 + \u03b2 1 X + \u03b2 2 X 2 + \u2026 + \u03b2 h Pratikte, do\u011frusal regresyon gibi daha basit bir model yerine polinom regresyonunu [&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-2181","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>Polinom regresyonunu ne zaman kullanmal\u0131s\u0131n\u0131z? - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, polinom regresyonun do\u011frusal regresyona kar\u015f\u0131 ne zaman kullan\u0131laca\u011f\u0131n\u0131 \u00f6rneklerle 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\/polinom-regresyonu-ne-zaman-kullanilir\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Polinom regresyonunu ne zaman kullanmal\u0131s\u0131n\u0131z? 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