How many possible correlation coefficients could result in a coefficient of determination of exactly .49?
A) 1
B) 2
C) 3
D) 4

Question

Quizplus · Accepted Answer

The coefficient of determination (r²) is equal to the square of the correlation coefficient (r). Therefore, we need to find all possible values of r that when squared give us .49.

r = √.49 = ±0.7

So, there are two possible correlation coefficients that could result in a coefficient of determination of exactly .49: +0.7 and -0.7.

How Many Possible Correlation Coefficients Could Result in a Coefficient