The Minitab printout below resulted from fitting the following model to n = 15 data points: y = 0 + 1x1 + 2x2 +

The Minitab printout below resulted from fitting the following model to n = 15 data points:
y = β0 + β1x1 + β2x2 + ε
where

a. Report the least squares prediction equation.
b. Interpret the values of β1 and β2.
c. Interpret the following hypotheses in terms of μ1, μ2, and μ3:

H0: β1 = β2 = 0
Ha: At least one of the parameters β1 and β2 differs from 0
d. Conduct the hypothesis test of part c.

Xi ={l if level 2 10 if not 1 if level 3 x2 = 10 if not The regreasion equation is Y 80.0 +16.8 X1 40.4 X2 Predictor Conatant 80.000 4.082 19.60 0.000 X1 X2 Coef SE Coef 16.800 5.774 2.91 0.013 40.400 5.774 7.00 0.000 S 9.129 R-Sq 80.5% R-Sq (adj) 77.24 = = Analysis of Var iance DF Source Regression Residual Ecror 12 1000.0 83.3 Total MS 2 4118.9 2059.5 24.72 0.000 14 5118.9