8. Use the multiple regression output shown to answer the following questions. The regression equation is: Y = 9.77 0.775X1 + 0.062X2 - 0.221X3 Predictor Coef SE Coef T P Constant 9.771 7.132 1.37 0.184 X1 0.7747 0.3201 2.42 0.025 X2 0.0642 0.1686 0.37 0.716 X3 -0.2214 0.1730 -1.28 0.214 S = 5.04975   R - Sq = 14.9%   R - Sq (adj) = 2.8% Analysis of Variance Source DF SS MS F P Regression 3 94.1 31.35 1.23 0.322 Residual Error 21 535.5 25.5     Total 24 629.6     (a) What is R2 for this model? Do we expect to increase, decrease, or remain the same if we eliminate the variable chosen in part (a)? What type of change in would indicate that removing the variable in part (a) was a GOOD idea? What type of change in would indicate that removing the variable in part (a) was a BAD idea? b) What is the p-value for ANOVA for the original 3-predictor model? Is the p-value most likely to increase, decrease, or remain the same if we eliminate the variable chosen in part (a)? What type of change in the p-value for ANOVA would indicate that removing the variable in part (a) was a GOOD idea? What type of change in the p-value for ANOVA would indicate that removing the variable in part (a) was a BAD idea? c) What is the F-statistic from ANOVA for this model? Is the F-statistic most likely to increase, decrease, or remain the same if we eliminate the variable chosen in part (a)? What type of change in the F-statistic for ANOVA would indicate that removing the variable in part (a) was a good idea?

8. Use the multiple regression output shown to answer the following questions.

The regression equation is:

Y = 9.77 0.775X1 + 0.062X2 - 0.221X3

S = 5.04975   R - Sq = 14.9%   R - Sq (adj) = 2.8%

(a) What is R² for this model? Do we expect to increase, decrease, or remain the same if we eliminate the variable chosen in part (a)? What type of change in would indicate that removing the variable in part (a) was a GOOD idea? What type of change in would indicate that removing the variable in part (a) was a BAD idea?

b) What is the p-value for ANOVA for the original 3-predictor model?
Is the p-value most likely to increase, decrease, or remain the same if we eliminate the variable chosen in part (a)? What type of change in the p-value for ANOVA would indicate that removing the variable in part (a) was a GOOD idea? What type of change in the p-value for ANOVA would indicate that removing the variable in part (a) was a BAD idea?

c) What is the F-statistic from ANOVA for this model? Is the F-statistic most likely to increase, decrease, or remain the same if we eliminate the variable chosen in part (a)? What type of change in the F-statistic for ANOVA would indicate that removing the variable in part (a) was a good idea?