In a multiple regression analysis involving 5 independent variables and 30 observations, SSR = 360 and SSE = 40.The multiple coefficient of determination is
A) .80.
B) .90.
C) .25.
D) .15.

Question

Quizplus · Accepted Answer

The multiple coefficient of determination (R-squared) is the proportion of variance in the dependent variable that can be explained by the independent variables. It is calculated as 1 - (SSE / SST), where SST is the total sum of squares. Since we are not given SST, we can't calculate R-squared directly. However, we can use the fact that SSR + SSE = SST. So, SST = 360 + 40 = 400. Therefore, R-squared = 1 - (40/400) = 0.9 or 90%. The best choice is B.

In a Multiple Regression Analysis Involving 5 Independent Variables and 30