The numerator of the correlation coefficient measures the extent to which two variables ______.
A) vary at random
B) vary independently
C) covary
D) none of these

Question

Quizplus · Accepted Answer

The numerator of the correlation coefficient measures the covariance between two variables, meaning the extent to which they vary together in a predictable way. Therefore, option C - "covary" - is the correct choice. Options A and B - "vary at random" and "vary independently" - suggest that there is no relationship between the variables, which is not necessarily true for correlated variables. Option D - "none of these" - is too vague and not accurate.

The Numerator of the Correlation Coefficient Measures the Extent to Which