A correlation coefficient is equal to .30.Using the concept of coefficient of determination,the variance accounted for by chance,error,and other unexplained factors would be:
A) approximately 91%.
B) approximately 30%.
C) approximately 3%.
D) None of these

Question

Quizplus · Accepted Answer

The coefficient of determination is calculated as the square of the correlation coefficient. Thus, for a correlation coefficient of .30, the coefficient of determination would be .30^2 = .09, meaning 9% of the variance is explained by the relationship. Therefore, 100% - 9% = 91% of the variance is accounted for by chance, error, and other unexplained factors.

A Correlation Coefficient Is Equal to