We wish to model the salary (Y) of architects at a specific firm based on their years of experience (X1), and their years of schooling (X2). We took a sample of size n = 50. 8. Complete the ANOVA table for the first order model, Y = Bo+B1X1+ B2X2+ . Round answers to 2 decimal places where necessary. Source Df Regression 2 SS Error 360 Total 1684 MS F 86.42 9. Complete the ANOVA table for the complete second order model with interaction, Y=Bo+B1X1+ B2X2 + B3X1 + B4X2 + BsX1X2 + E. Round answers to 2 decimal places where necessary. Source Regression 5 Df SS MS F 281.4 Error 277 6.295 Total 49 10. What are the hypotheses being tested to see if the squared terms and the interaction term are significant to the model when taken together? (Partial F test) a) Ho: B1 B2 B3 = 0 vs. Ha: at least one #0 b) Ho: B1 B2 c) Ho: Bo 0 B3 B4 B5 =0 vs. H: at least one #0 vs. H: Bo #0 d) Ho: B3 B4 s = 0 vs. Ha: at least one #0 11. What is the value of the test statistic for the partial f-test in question 10? Round your answer to 2 decimal places. 12. What is the critical value for the test in question 10 using = 0.05? 13. If the partial F-test is found to be significant (if we reject Ho), what conclusion should be made? a) The squared and interaction variables are significant and should remain in the model b) The squared and interaction variables are not significant and should be removed from the model c) X is insignificant and should be removed from the model d) A constant term, o, is not needed in the model