Final answer:
An r2 of .4 means that the DV has accounted for 40% of the variance in the IV.
Step-by-step explanation:
An r2 of .4 means that the DV has accounted for 16% of the variance in the IV.
The coefficient of determination, or r2, represents the proportion of the variance in the dependent variable (DV) that can be explained by the independent variable (IV). To calculate the percentage of variance accounted for, you can square the correlation coefficient (r) and multiply it by 100. In this case, since r2 = .4, we have (.4) x 100 = 40%. Therefore, the statement is false, as the DV has accounted for 40%, not 16%, of the variance in the IV.