Statıstıcs Iı Deneme Sınavı Sorusu #1016334

A teacher has created a simple linear regression model for a problem with two variables. The total variation in the model is partitioned as follows: SST = SSR+SSE = 780+ 320 What is the value of the coefficient of determination in this problem?


0.24 

0.29

0.32

0.78

0.71


Yanıt Açıklaması:

Since the components of the total variation is already given then the coefficient of determination for this problem is as follows: r 2 = explained variation/ total variation = SSR / SST =  = 780/ 780+ 320 = 0.71. Therefore, we can say that the 71% of the variability in the dependent variable can be accounted to the independent variable. The correct answer is E.

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