Question: One case in the sample has Y = 50, X1 = 19, X2 = 56, X3 = 12, X4 = 85, and X5 = 106.

One case in the sample has Y = 50, X1 = 19, X2 = 56, X3 = 12, X4 = 85, and X5 = 106. What is the predicted response for this case? What is the residual?

Refer to the multiple regression output shown:

The regression equation is Y = - 61 + 4.71 X1 - 0.25 X2 + 6.46 X3 + 1.50 X4 - 1.32 X5 Predictor Coef SE Coef т Constant

The regression equation is Y = - 61 + 4.71 X1 - 0.25 X2 + 6.46 X3 + 1.50 X4 - 1.32 X5 Predictor Coef SE Coef Constant -60.7 105.7 -0.57 0.575 X1 4.715 2.235 2.11 0.053 X2 -0.253 1.178 -0.21 0.833 X 6.459 2.426 2.66 0.019 X4 1.5011 0.4931 3.04 0.009 -1.3151 X5 0.8933 -1.47 0.163 S= 32.4047 R-Sq = 77.9% R-Sq(adj) = 70.0% Analysis of Variance Source DF MS Regression 5 51799 10360 9.87 0.000 Residual Error 14 14701 1050 Total 66500 19

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