38. Refer to Problem 37. Consider the linear model using predictor variables X1,X2, and X4. That is, Y = 0 + 1X1 + 2X2 +

38. Refer to Problem 37. Consider the linear model using predictor variables X1,X2, and X4. That is, Y = β0 + β1X1 + β2X2 + β4X4 + ε

(a) Fit the above regression model to the data in Problem 37.

(b) Construct an ANOVA table, and use it to test the hypothesis H0 : β1 = β2 =

β4 = 0. Use α = 0.05.

(c) Find a 95% confidence interval for each of the regression coefficients in the model for this problem.