If the coefficient of correlation is 0.90, what is the percentage of the variation in the dependent variable y that is explained by the variation in the independent variable x?
A) 90%
B) 81%
C) 0.90%
D) 0.81%

Question

Quizplus · Accepted Answer

The coefficient of correlation squared (r^2) gives the proportion of the variation in the dependent variable y that is explained by the variation in the independent variable x. Therefore, r^2 = 0.90^2 = 0.81, which translates to 81% of the variation in y being explained by x. Choice B is the closest option to 81%.

If the Coefficient of Correlation Is 0