1 if level 2 1 if level 3 MINITAB was used to fit the model below to n = 15 data points, where x, = and % = Complete parts a through d. 0 if not 0 if not y = Po + ByX1 + P2x2 + = Click the icon to view the MINITAB output a. Report the least squares prediction equation. *= [ +(0) *+ (]% (Type integers or decimals.) b. Interpret the values of By and B2- By estimates the difference in the mean value of the variable between level and the base level of the |qualitative variable. By estimates the difference in the mean value of the variable between level | | and the base level of the qualitative variable. - X C. Interpret the following hypotheses in terms of Hy , H2, and By. Data table Ho: 1 = P2 =0 H. : At least one of the parameters , and By differs from 0. The regression equation is The hypothesis Ho: By = 82 =0 is the same as Ho: Y =70.0 + 17.4 X1+ 40.8 X2 The hypothesis He: At least one of the parameters , and Ply differs from 0 is the same as He: Predictor Coef SE Coef T Constant 70.000 4.071 17.19 0.000 d. Conduct the hypothesis test of part c. Use a= 0.05. What is the test statistic? X1 17.400 5.895 2.95 0.012 X2 40.600 5.895 6.89 0.000 The test statistic is (Type an integer or a decimal.) 5 =9.128 R-Sq = 80.5% R-Sq(adj) = 77.3% What is the p-value? Analysis of Variance The p-value is Source DF SS MS P (Type an integer or a decimal.) Regression 2 4131.5 2085.8 24.80 0.000 Residual Error 12 1000.0 83.3 What is the conclusion from the hypothesis test? Total 14 5131.5