Statıstıcs Iı Deneme Sınavı Sorusu #1016263

Pearson’s correlation coefficient is found -0.48 in a problem. What is the coefficient of determination?


0,23

-0,52

0,77

0,52

0,48 


Yanıt Açıklaması:

The coefficient of determination is calculated by using the square of Pearson’s correlation coefficient, r2 .The coefficient of determination in the same problem is r2 = (-0.48)2 = 0.23. The practical meaning of this result can be written as follows: “the independent variable in this problem explains the 23% of the variability of the dependent variable”. If we consider the total variability of dependent variable as 100%, it means that there is still 77% of unaccounted variability for the dependent variable. There must be some other effects on the variability of the dependent variable. The correct answer is A. 

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