{"id":2457,"date":"2023-07-22T05:04:19","date_gmt":"2023-07-22T05:04:19","guid":{"rendered":"https:\/\/statorials.org\/tr\/iki-degiskenli-veri-gercek-ornekleri\/"},"modified":"2023-07-22T05:04:19","modified_gmt":"2023-07-22T05:04:19","slug":"iki-degiskenli-veri-gercek-ornekleri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/iki-degiskenli-veri-gercek-ornekleri\/","title":{"rendered":"Ger\u00e7ek hayatta iki de\u011fi\u015fkenli verilere 5 \u00f6rnek"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u0130ki de\u011fi\u015fkenli veriler,<\/strong> tam olarak iki de\u011fi\u015fken i\u00e7eren bir veri k\u00fcmesini ifade eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu t\u00fcr veriler her zaman ger\u00e7ek d\u00fcnyadaki durumlarda ortaya \u00e7\u0131kar ve bu t\u00fcr verileri analiz etmek i\u00e7in genellikle a\u015fa\u011f\u0131daki y\u00f6ntemleri kullan\u0131r\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Nokta bulutlar\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\">Korelasyon katsay\u0131lar\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\">Basit do\u011frusal regresyon<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler, iki de\u011fi\u015fkenli verilerin ger\u00e7ek hayatta g\u00f6r\u00fcnd\u00fc\u011f\u00fc farkl\u0131 senaryolar\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: \u0130\u015fletme<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u015eirketler genellikle reklama harcanan toplam para ve toplam gelir hakk\u0131nda iki de\u011fi\u015fkenli veriler toplar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir \u015firket birbirini takip eden 12 sat\u0131\u015f \u00e7eyre\u011fi i\u00e7in a\u015fa\u011f\u0131daki verileri toplayabilir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-21981 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bivarie11.png\" alt=\"\" width=\"304\" height=\"373\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu, iki de\u011fi\u015fkenli verilere bir \u00f6rnektir \u00e7\u00fcnk\u00fc tam olarak iki de\u011fi\u015fken hakk\u0131nda bilgi i\u00e7erir: reklam harcamalar\u0131 ve toplam gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u015eirket bu veri setine <a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/\" target=\"_blank\" rel=\"noopener\">basit bir do\u011frusal regresyon modeli<\/a> uydurmaya karar verebilir ve a\u015fa\u011f\u0131daki uygun modeli bulabilir:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Toplam gelir = 14.942,75 + 2,70* (reklam giderleri)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, \u015firkete reklama harcanan her ek dolar i\u00e7in toplam gelirin ortalama 2,70 dolar artt\u0131\u011f\u0131n\u0131 s\u00f6yl\u00fcyor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: T\u0131bbi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">T\u0131bbi ara\u015ft\u0131rmac\u0131lar sa\u011fl\u0131kla ilgili de\u011fi\u015fkenler aras\u0131ndaki ili\u015fkiyi daha iyi anlamak i\u00e7in s\u0131kl\u0131kla iki de\u011fi\u015fkenli veriler toplarlar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir ara\u015ft\u0131rmac\u0131 15 ki\u015fiden a\u015fa\u011f\u0131daki ya\u015f ve kalan kalp at\u0131\u015f h\u0131z\u0131 verilerini toplayabilir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-21984 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bivarie12.png\" alt=\"\" width=\"282\" height=\"430\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Ara\u015ft\u0131rmac\u0131 daha sonra iki de\u011fi\u015fken aras\u0131ndaki korelasyonu hesaplamaya ve bunu <strong>0,812&#8217;ye<\/strong> e\u015fit bulmaya karar verebilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu durum iki de\u011fi\u015fken aras\u0131nda g\u00fc\u00e7l\u00fc pozitif bir ili\u015fkinin oldu\u011funu g\u00f6stermektedir. Yani ya\u015f artt\u0131k\u00e7a kalan kalp at\u0131\u015f h\u0131z\u0131 da tahmin edilebilece\u011fi gibi artma e\u011filimindedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0130lgili:<\/strong><\/span> <a href=\"https:\/\/statorials.org\/tr\" target=\"_blank\" rel=\"noopener\">Ne &#8220;g\u00fc\u00e7l\u00fc&#8221; bir korelasyon olarak kabul edilir?<\/a><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 3: akademisyenler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ara\u015ft\u0131rmac\u0131lar hangi de\u011fi\u015fkenlerin \u00fcniversite \u00f6\u011frencisi performans\u0131n\u0131 etkiledi\u011fini anlamak i\u00e7in s\u0131kl\u0131kla iki de\u011fi\u015fkenli veriler toplar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir ara\u015ft\u0131rmac\u0131 belirli bir s\u0131n\u0131ftaki \u00f6\u011frenciler i\u00e7in haftal\u0131k \u00e7al\u0131\u015f\u0131lan saat say\u0131s\u0131 ve buna kar\u015f\u0131l\u0131k gelen genel not ortalamas\u0131 hakk\u0131nda veri toplayabilir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-21987 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bivarie14.png\" alt=\"\" width=\"285\" height=\"424\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra bu iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi g\u00f6rselle\u015ftirmek i\u00e7in basit bir da\u011f\u0131l\u0131m grafi\u011fi olu\u015fturabilir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-21986 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bivarie13-1.png\" alt=\"\" width=\"589\" height=\"393\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fken aras\u0131nda a\u00e7\u0131k\u00e7a pozitif bir ili\u015fki vard\u0131r: Haftada \u00e7al\u0131\u015f\u0131lan saat say\u0131s\u0131 artt\u0131k\u00e7a \u00f6\u011frencinin genel not ortalamas\u0131 da artma e\u011filimindedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 4: Ekonomi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0130ktisat\u00e7\u0131lar genellikle iki sosyoekonomik de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi anlamak i\u00e7in iki de\u011fi\u015fkenli veriler toplarlar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin bir iktisat\u00e7\u0131 belirli bir \u015fehirdeki bireylerin toplam e\u011fitim s\u00fcresi ve toplam y\u0131ll\u0131k geliri hakk\u0131nda veri toplayabilir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-21988 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bivarie15.png\" alt=\"\" width=\"291\" height=\"302\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra a\u015fa\u011f\u0131daki basit do\u011frusal regresyon modelini uyarlamaya karar verebilir:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Y\u0131ll\u0131k gelir = -45.353 + 7.120*(\u00d6\u011frenim y\u0131l\u0131)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, ekonomiste, her ek e\u011fitim y\u0131l\u0131 i\u00e7in y\u0131ll\u0131k gelirin ortalama 7.120 dolar artt\u0131\u011f\u0131n\u0131 s\u00f6yl\u00fcyor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 5: Biyoloji<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Biyologlar genellikle iki de\u011fi\u015fkenin bitkiler veya hayvanlar aras\u0131nda nas\u0131l bir ili\u015fki oldu\u011funu anlamak i\u00e7in iki de\u011fi\u015fkenli veriler toplarlar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin bir biyolog, farkl\u0131 b\u00f6lgelerdeki toplam ya\u011f\u0131\u015f ve toplam bitki say\u0131s\u0131 hakk\u0131nda veri toplayabilir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-21990 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bivarie16.png\" alt=\"\" width=\"296\" height=\"298\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Biyolog daha sonra iki de\u011fi\u015fken aras\u0131ndaki korelasyonu hesaplamaya ve bunu <strong>0,926&#8217;ya<\/strong> e\u015fit bulmaya karar verebilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu durum iki de\u011fi\u015fken aras\u0131nda g\u00fc\u00e7l\u00fc pozitif bir ili\u015fkinin oldu\u011funu g\u00f6stermektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yani daha y\u00fcksek ya\u011f\u0131\u015f, bir b\u00f6lgedeki bitki say\u0131s\u0131n\u0131n artmas\u0131yla yak\u0131ndan ili\u015fkilidir.<\/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\u011fitimler, iki de\u011fi\u015fkenli veriler ve bunlar\u0131n nas\u0131l analiz edilece\u011fi hakk\u0131nda ek bilgi sa\u011flar.<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/iki-degiskenli-analiz\/\" target=\"_blank\" rel=\"noopener\">\u0130ki De\u011fi\u015fkenli Analize Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/tek-degiskenli-analiz\/\" target=\"_blank\" rel=\"noopener\">Tek De\u011fi\u015fkenli Analize Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/pearson-korelasyon-katsayisi-1\/\" target=\"_blank\" rel=\"noopener\">Pearson Korelasyon Katsay\u0131s\u0131na Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/\" target=\"_blank\" rel=\"noopener\">Basit Do\u011frusal Regresyona Giri\u015f<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130ki de\u011fi\u015fkenli veriler, tam olarak iki de\u011fi\u015fken i\u00e7eren bir veri k\u00fcmesini ifade eder. Bu t\u00fcr veriler her zaman ger\u00e7ek d\u00fcnyadaki durumlarda ortaya \u00e7\u0131kar ve bu t\u00fcr verileri analiz etmek i\u00e7in genellikle a\u015fa\u011f\u0131daki y\u00f6ntemleri kullan\u0131r\u0131z: Nokta bulutlar\u0131 Korelasyon katsay\u0131lar\u0131 Basit do\u011frusal regresyon A\u015fa\u011f\u0131daki \u00f6rnekler, iki de\u011fi\u015fkenli verilerin ger\u00e7ek hayatta g\u00f6r\u00fcnd\u00fc\u011f\u00fc farkl\u0131 senaryolar\u0131 g\u00f6stermektedir. \u00d6rnek 1: \u0130\u015fletme [&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-2457","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>Ger\u00e7ek Hayattaki \u0130ki De\u011fi\u015fkenli Verilere 5 \u00d6rnek - 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