If 49% of the total variability of Y is accounted for by X , what is the value of r ?
A) 0.49
B) 0.51
C) 0.70
D) 0.30

Question

Quizplus · Accepted Answer

The coefficient of determination (r-squared) gives us the proportion of the total variability in Y that can be explained by X. Therefore, if 49% of the total variability of Y is accounted for by X, then the coefficient of determination is 0.49. Taking the square root of this value gives us the correlation coefficient (r). So, √0.49 = 0.70, therefore the answer is C.

If 49% of the Total Variability of Y Is Accounted