A multiple linear regression analysis involving 45 observati

A multiple linear regression analysis involving 45 observations resulted in the following leastsquares prediction equation:.

Y hat=.408+1.3387 x1+ 2.1 x2

The SSE for this model is 49. Adding two other independent variables to the model resulted in thefollowing multiple linear regression equation:

Y hat= 1.2+ 3 x1+ 12 x2 + 4 x3+ 8 x4

The SSE for the newer model is 40. At = .05, test to determine if at least one of the two new independent variables make a significant contribution to the multiple regression model.

Solution