Chapter 13.3, Problem 14E

For the following data set:

1. Construct the multiple regression equation $\hat{y}=b0+b_1{x}_1+b_2{x}_2+b_3{x}_3+b_4{x}_4$.
2. Predict the value of y when $x_1=15.3,x_2=4.7,x_3=0.6,x_4=8.2$.
3. What percentage of the variation my is explained by the model?
4. Is the model useful for prediction? Why or why not? Use the $\alpha =0.05$ level.
5. Test $H_0:{\beta }_1=0$ versus $H_1:{\beta }_1\ne 0$ at the $\alpha =0.05$ level. Can you reject $H_0$ ? Repeat for ${\beta }_2$ and ${\beta }_3$.