If the coefficient of correlation is 0.90, then the percentage of the variation in the dependent variable y that is explained by the variation in the independent variable x is:
A) 90%
B) 81%
C) 0.90%
D) 0.81%
E) none of these

Question

Quizplus · Accepted Answer

The coefficient of determination (r-squared) is equal to the coefficient of correlation squared. Therefore, if the coefficient of correlation is 0.90, then the coefficient of determination is 0.81, which means that 81% of the variation in the dependent variable y is explained by the variation in the independent variable x.

If the Coefficient of Correlation Is 0