Refer to the previous exercise. a. Set up indicator variables for a regression model so that an

Question:

Refer to the previous exercise.

a. Set up indicator variables for a regression model so that an F test for the regression parameters is equivalent to the ANOVA test comparing the three means.
b. Express the null hypothesis both in terms of population means and in terms of regression parameters for the model in part a.
c. The sample means were 18, 15, and 12. Explain why the prediction equation is = 12 + 6x1 + 3x2. Interpret the three parameter estimates in this equation.