Question

For a certain professional basketball team, 32% of the variability in the team’s points scored per game is explained by the total salary of the opposing team. For this particular team, which of the following could be the correlation between their points scored per game and the salary of the opposing team?

A. 1 - Square root of o.32 = 0.434
B. 1- 0.32^2 = 0.998
C.- square root of 0.32 = -0.566
D. - 0.32^2 = -0.102

Answer 1

Answer: Option C

Explanation:

Correlation, r, is a measure of linear association between two variables. Coefficient of determination, r^{2}, is a measure of how much of the variability in one variable can be "explained by" variation in the other.

32% of the variability in the team’s points scored per game means $r^{^{2}}$ =0.32

and hence r=$\pm \sqrt{0.32}$ and that gives option C -0.566.