A, B, and C are three explanatory variables in a multiple linear regression with n = 28 cases. Display shows the residual sum of squares and degrees of freedom for all models.

a) calculate the estimate of ^2 for each model.

b) calculate the adjusted R^2 for each model.

c) calculate the Cp statistic for each model.

d) calculate the BIC for each model.

model RSS df p

1 None 8100 27 1

2 A 6240 26 2

3 B 5980 26 2

4 C 6760 26 2

5 AB 5500 25 3

6 AC 5250 25 3

7 BC 5750 25 3

8 ABC 5160 24 4