The value of is a measure of the. $r ^ { 2 }$
A)extent to which two variables share a common variance
B)precision with which one variable predicts the value of the other
C)degree of linear association between two variables
D)degree of nonlinear association between two variables

Question

Quizplus · Accepted Answer

The value of $r ^ { 2 }$ represents the proportion of variance in one variable that can be explained by the variance in the other variable. In other words, it measures the extent to which the two variables share a common variance. Therefore, Option A is the correct choice. Option B refers to the correlation coefficient $r$, but it does not capture the full meaning of $r ^ { 2 }$. Option C is partially correct because $r ^ { 2 }$ does measure the degree of association between two variables, but it specifically pertains to linear association. Option D is incorrect because $r ^ { 2 }$ is only used to measure linear association, not nonlinear association.

The Value of Is a Measure of The r2r ^ { 2 }r2

The Value of Is a Measure of The $r ^ { 2 }$