Suppose two interrelated independent variables each has a .30 bivariate correlation with a dependent variable, and their combined multiple correlation with the dependent variable is .40.Then:
A)The two variables combined account for 60 percent of the variation in the dependent variable.
B)The two variables combined account for 18 percent of the variation in the dependent variable.
C)The two variables combined account for 16 percent of the variation in the dependent variable.
D)The two variables combined account for 70% of the variation in the dependent variable.

Question

Quizplus · Accepted Answer

The squared multiple correlation coefficient gives the proportion of variance in the dependent variable that is explained by the combined effects of the independent variables. In this case, the squared multiple correlation coefficient would be (.40)^2 = .16, which means the two variables combined account for 16% of the variation in the dependent variable.

Suppose Two Interrelated Independent Variables Each Has a