For a multiple regression model, the following statistics are given: Total variation in y = SSY = 250, SSE = 50, k = 4, n = 20.
The coefficient of determination adjusted for degrees of freedom is:
A) 0.800.
B) 0.747.
C) 0.840.
D) 0.775.

Question

Quizplus · Accepted Answer

The coefficient of determination adjusted for degrees of freedom is given by:

R^2adj = 1 - (SSE/(n-k-1)) / (SSY/(n-1))

Plugging in the values given, we get:

R^2adj = 1 - (50/(20-4-1)) / (250/(20-1))
R^2adj = 0.747

Therefore, the answer is B.

For a Multiple Regression Model, the Following Statistics Are Given