Percentage of variation: The following MINITAB output presents a multiple regression equation.

a. What percentage of the variation in the response is explained by the multiple regression equation?
b. What percentage of the variation in the response is explained by the multiple regression equation, if we account for the number of explanatory variables in the model?
c. Is the multiple regression equation useful for prediction? Explain. Use the a = 0.05 level.

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The regression equation is Y = 5.3296 + 3.6204 x1 + 1.5721 X2 + 2.3328 X3 Predictor Constant X1 X2 X3 Coef 52.042 14686 -1.0333 2.0944 SE Coef 63.533 1.2076 1.1427 0.8783 -0.8191 1.2161 -0.9043 2.3847 0.422 0.238 0.377 0.027 S 44.953 R-sg 40.0% R-sq (adj)-31.0% Analysis of Variance Source Regression Residual Error Total DF 3 20 23 MS 89.723 20.208 29.275 0.015 269.17 404.16 673.33 4.44