An indication of no linear relationship between two variables x and y would be:
A) a coefficient of correlation of 1
B) a coefficient of correlation of 0
C) a coefficient of correlation of -1
D) a coefficient of determination of 1
E) 0.5

Question

Quizplus · Accepted Answer

A coefficient of correlation of 0 indicates no linear relationship between the two variables x and y. A coefficient of correlation of 1 or -1 indicates a perfect positive or negative linear relationship, respectively. A coefficient of determination of 1 indicates that all the variability in y can be explained by x, but it does not necessarily indicate a linear relationship between x and y. A value of 0.5 does not provide enough information about the linear relationship between x and y.

An Indication of No Linear Relationship Between Two Variables X