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

(a) Which variable might we try eliminating first to possibly improve this model?
(b) What is R² for this model? Do we expect R² to increase, decrease, or remain the same if we eliminate the variable chosen in part (a)? What type of change in R² would indicate that removing the variable chosen in part (a) was a good idea? A bad idea?
(c) What is the p-value for ANOVA for the original3-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 chosen in part (a) was a good idea? A bad idea?

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The regression equation is Y = 9.78 + 0.244 X1 + 0.065 X2 - 0.219 X3 Coef SE Coef 9.781 Predictor т Constant 4.047 2.42 0.025 х1 1.37 0.184 0.2440 0.1777 X2 0.0653 0.1771 0.37 0.716 0.1706 X3 -0.2186 -1.28 0.214 R-Sq = 15.0% S= 4.93734 R-Sq(adj) = 2.9% Analysis of Variance DF MS 30.11 Source Regression 3 90.32 1.23 0.322 Residual Error 21 511.92 24.38 602.24 Total 24