For this problem and other problem answer questions based on

For this problem and other problem answer questions based on this intercorrelational matrix.

Variable 1

Variable 2

Variable 3

Variable 1

Variable 2

- .18

Variable 3

- .30

.27

Variable 4

- .74*

.60*

.34

Note: * = p < .05

What is the proportion of variance in variable 1 that is predicted by variable 3?

Solution

Proportion of variance explained (if we predict variable 1 by variable 3) is same as square of correlation coefficient between 2, i.e, R^2 = -0.3^2 = 0.09 or 9%