If there is a very strong correlation between two variables then the coefficient of determination must be
A)much larger than 1, if the correlation is positive
B)much smaller than -1, if the correlation is negative
C)any value larger than 1
D)None of these alternatives is correct.

Question

Quizplus · Accepted Answer

The coefficient of determination (r-squared) can only take values between 0 and 1, and represents the proportion of variability in one variable that can be explained by the other variable. Therefore, it cannot be much larger than 1 or smaller than -1.

If There Is a Very Strong Correlation Between Two Variables