(b) Regardless of your proposed model in (a), consider model where 1, if categor

Question

(b) Regardless of your proposed model in (a), consider model where 1, if category 1 1, if category 2 The Minitab outputs for this model are shown below Predictor Constant Coef SE Coef -0.8365 0.5518 -1.52 0.133 0.96327 0.06980 13.80 0.000 0.1502 0.7522 0.20 0.842 1.7934 0.77322.32 0.023 -0.10888 0.01341 -8.12 0.000 0.06482 0.09948 0.65 0.516 0.06783 0.08818 0.77 0.444 0.00630 0.01829 0.34 0.731 0.09402 0.01780 5.28 0.000 z1*x2 22 x 2 S. 1.88621 R-Sq 95.3% R-Sq ( adj ) 94.9% - . Analvsis of Variance DF Source Regression Residual Error 91 323.76 Total MS 8 6586.58 823.32 3.56 99 6910.34

Explanation / Answer

it is given that the z1 = 1 otherwise it is 0 , likewise for z2

so we can create the regression model as

y = -0.8365 +0.9632*x +0.1502*z1 +1.7934*z2 -0.10888*x2 +0.06482*z1x + 0.06783z2x +0.00630z1x2 +0.0942z2x2

, here in the model z3 is zero , this means that for z3 , we can put z1 and z2 as zero in the above equation

y = -0.8365 +0.9632*x -0.10888*x2

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