Question: The following MINITAB output presents a multiple regression equation y = b0 + b1x1 + b2x2 + b3x3. Test H0 : i = 0 versus

The following MINITAB output presents a multiple regression equation

̂y = b0 + b1x1 + b2x2 + b3x3. Test H0 : βi = 0 versus H1: βi ≠ 0 for i = 1, 2, 3.

Use the

α = 0.05 level. The regression equation is Y3.4105 +0.9543 X1 +0.2970 X2 + 2.6126 X3

The regression equation is Y3.4105 +0.9543 X1 +0.2970 X2 + 2.6126 X3 Predictor Coef SE Coef T _ P Constant 3.4105 0.5832 5.8475 0.000 X1 0.9543 0.2975 3.2074 0.008 X2 0.2970 0.5796 0.5124 0.619 X3 2.6136 0.4252 6.1461 0.000 S = 1.8421 Analysis of Variance R-Sq = 81.2% R-Sq (adj) = 76.0% Source DF SS MS F _P Regression 3 160.71 53.570 15.787 0.000 Residual Error 11 37.327 3.3934 Total 14 198.04

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