Question

The squared multiple correlation (R2) between three or more variables should almost always be _____ the SUM of the individual squared bivariate correlations (r2) between each pair of variables?

1) greater than
2) less than
3) equal to
4) cannot be determined

Answer 1

The squared multiple correlation (R2) between three or more variables should almost always be greater than the sum of the individual squared bivariate correlations (r2) between each pair of variables.

Step-by-step explanation:

In general, the squared multiple correlation (R2) between three or more variables should almost always be greater than the sum of the individual squared bivariate correlations (r2) between each pair of variables. This is because R2 represents the proportion of variance in the dependent variable that can be explained by all the independent variables together, while the individual squared bivariate correlations represent the variance explained by each individual pair of variables.