<\/p>\n
Basit bir do\u011frusal regresyon modelinin R kare (R 2<\/sup> ) de\u011ferinin karek\u00f6k\u00fcn\u00fc alarak iki de\u011fi\u015fken aras\u0131ndaki korelasyon katsay\u0131s\u0131n\u0131<\/a> bulabilirsiniz.<\/span><\/p>\n Basit do\u011frusal regresyon modelinin korelasyon katsay\u0131s\u0131 = \u221a R 2<\/sup><\/span><\/span><\/p>\n Regresyon modelindeki e\u011fim katsay\u0131s\u0131n\u0131n i\u015fareti, korelasyon katsay\u0131s\u0131n\u0131n pozitif mi yoksa negatif mi oldu\u011funu g\u00f6sterir.<\/span><\/p>\n A\u015fa\u011f\u0131daki \u00f6rnekler, pratikte bir regresyon modelinin R kare de\u011ferinden korelasyon katsay\u0131s\u0131n\u0131n nas\u0131l bulunaca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n Not<\/strong> : Bir regresyon modelinin R-kare de\u011ferine ayn\u0131 zamanda belirleme katsay\u0131s\u0131 da denir.<\/span><\/p>\n Tahmin edici de\u011fi\u015fken olarak \u00e7al\u0131\u015f\u0131lan saatleri<\/strong> ve yan\u0131t de\u011fi\u015fkeni olarak s\u0131nav puanlar\u0131n\u0131<\/strong> kullanarak basit bir do\u011frusal regresyon modeli uygulad\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m.<\/span><\/p>\n Modelden a\u015fa\u011f\u0131daki \u00e7\u0131kt\u0131y\u0131 ald\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m:<\/span><\/p>\n D\u00fczeltilmi\u015f regresyon denklemi<\/strong> : s\u0131nav puan\u0131 = 65,55 + 2,78 (\u00e7al\u0131\u015fma saati)<\/span><\/p>\n Regresyon modelinin R karesi (R 2<\/sup> )<\/strong> : 0,7845<\/span><\/p>\n Modelin R-kare de\u011feri bize s\u0131nav puanlar\u0131ndaki de\u011fi\u015fimin y\u00fczde ka\u00e7\u0131n\u0131n \u00e7al\u0131\u015f\u0131lan saatlerle a\u00e7\u0131klanabilece\u011fini s\u00f6yler.<\/span><\/p>\n Bu \u00f6rnekte \u00e7al\u0131\u015f\u0131lan saatlerin s\u0131nav puanlar\u0131ndaki de\u011fi\u015fimin %78,45’ini a\u00e7\u0131klayabildi\u011fini g\u00f6r\u00fcyoruz.<\/span><\/p>\n \u00c7al\u0131\u015f\u0131lan saatlerle s\u0131nav sonu\u00e7lar\u0131 aras\u0131ndaki korelasyon katsay\u0131s\u0131n\u0131 bulmak i\u00e7in R 2’nin<\/sup> karek\u00f6k\u00fcn\u00fc alabiliriz:<\/span><\/p>\n Korelasyon katsay\u0131s\u0131 = \u221a R 2<\/sup><\/span> = \u221a 0,7845<\/span> = 0,8857<\/strong><\/span><\/p>\n Regresyon denkleminde \u00e7al\u0131\u015f\u0131lan saatlerin i\u015fareti pozitif oldu\u011fundan bu korelasyon katsay\u0131s\u0131 pozitiftir.<\/span><\/p>\n Dolay\u0131s\u0131yla \u00e7al\u0131\u015f\u0131lan saat ile s\u0131nav puan\u0131 aras\u0131ndaki korelasyon katsay\u0131s\u0131 0,8857’dir<\/strong> .<\/span><\/p>\n Tahmin de\u011fi\u015fkeni olarak ya\u015f\u0131<\/strong> (y\u0131l cinsinden) ve tepki de\u011fi\u015fkeni olarak maksimum bench press’i<\/strong> (pound cinsinden) kullanarak basit bir do\u011frusal regresyon modeli uygulad\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m.<\/span><\/p>\n Modelden a\u015fa\u011f\u0131daki \u00e7\u0131kt\u0131y\u0131 ald\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m:<\/span><\/p>\n D\u00fczeltilmi\u015f regresyon denklemi<\/strong> : maksimum bench press = 240,11 \u2013 1,24 (ya\u015f)<\/span><\/p>\n Regresyon modelinin R karesi (R 2<\/sup> )<\/strong> : 0,4773<\/span><\/p>\n Modelin R-kare de\u011feri bize, en y\u00fcksek bench press poundundaki de\u011fi\u015fimin y\u00fczde ka\u00e7\u0131n\u0131n ya\u015fa g\u00f6re a\u00e7\u0131klanabilece\u011fini s\u00f6yler.<\/span><\/p>\n Bu \u00f6rnekte ya\u015f\u0131n, maksimum bench press miktar\u0131ndaki de\u011fi\u015fimin %47,73’\u00fcn\u00fc a\u00e7\u0131klayabildi\u011fini g\u00f6r\u00fcyoruz.<\/span><\/p>\n Ya\u015f ile maksimum bench press aras\u0131ndaki korelasyon katsay\u0131s\u0131n\u0131 bulmak i\u00e7in R2’nin<\/sup> karek\u00f6k\u00fcn\u00fc alabiliriz:<\/span><\/p>\n Korelasyon katsay\u0131s\u0131 = \u221a R 2<\/sup><\/span> = \u221a 0,4773<\/span> = 0,6909<\/strong><\/span><\/p>\n Regresyon denkleminde ya\u015f\u0131n i\u015fareti negatif oldu\u011fundan bu korelasyon katsay\u0131s\u0131 negatiftir.<\/span><\/p>\n Dolay\u0131s\u0131yla ya\u015f ile maksimum bench press aras\u0131ndaki korelasyon katsay\u0131s\u0131 -0,6909’dur<\/strong> .<\/span><\/p>\n A\u015fa\u011f\u0131daki e\u011fitimler korelasyon katsay\u0131lar\u0131 hakk\u0131nda ek bilgi sa\u011flar:<\/span><\/p>\n \u201cG\u00fc\u00e7l\u00fc\u201d bir korelasyon olarak kabul edilen \u015fey nedir?<\/a> Basit bir do\u011frusal regresyon modelinin R kare (R 2 ) de\u011ferinin karek\u00f6k\u00fcn\u00fc alarak iki de\u011fi\u015fken aras\u0131ndaki korelasyon katsay\u0131s\u0131n\u0131 bulabilirsiniz. Basit do\u011frusal regresyon modelinin korelasyon katsay\u0131s\u0131 = \u221a R 2 Regresyon modelindeki e\u011fim katsay\u0131s\u0131n\u0131n i\u015fareti, korelasyon katsay\u0131s\u0131n\u0131n pozitif mi yoksa negatif mi oldu\u011funu g\u00f6sterir. A\u015fa\u011f\u0131daki \u00f6rnekler, pratikte bir regresyon modelinin R kare de\u011ferinden korelasyon katsay\u0131s\u0131n\u0131n nas\u0131l […]<\/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-4602","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"\n \u00d6rnek 1: R2’den<\/sup> korelasyon katsay\u0131s\u0131n\u0131n bulunmas\u0131 (e\u011fim pozitif oldu\u011funda)<\/strong><\/span><\/h2>\n
\u00d6rnek 2: R2’den<\/sup> korelasyon katsay\u0131s\u0131n\u0131n bulunmas\u0131 (e\u011fim negatif oldu\u011funda)<\/strong><\/span><\/h2>\n
Ek kaynaklar<\/strong><\/span><\/h2>\n
Korelasyonu ne zaman kullanmal\u0131s\u0131n\u0131z?<\/a>
Korelasyon t testi nas\u0131l yap\u0131l\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"