5. (25 pts) Given the following results on Sum of Squares Regression (SSReg) obtained from Regressions of Y on X1, X2, and X3. Note SSTO from the model was computed to be equal to 231.00 Predictors SSReg a) Compute SSR(X2 |X1, X3), that is the additional Sum of Squares Regression X1 115.07 obtained by including X2 in the Regression model after X1 and X3 were already X2 76.19 included in the model. X3 21.84 X1 X2 198.41 b) Compute Isy2.13 and provide an interpretation of the result. X1 X3 130.51 X2 X3 80.78 c) Write the first row of the X matrix associated with the reduced (restricted) model that tests HO: B, = 0 X1 X2 X3 199.86 The first observation from the data set used in the analysis is provided below. Y X1 X2 X3 Obs # 1 10 2113 1985 64.7 d) Compute the Type I Sum of Squares for X1 e) Compute the Type Ill Sum of Squares for X1