Chapter 15.5, Problem 19E

In exercise 1, the following estimated regression equation based on 10 observations was presented.

$\hat{y}=29.1270+.5906x_1+.4980x_2$

Here SST = 6724.125, SSR = 6216.375, $s_{b_1}=.0813$, and $s_{b_2}=.0567$.

1. a. Compute MSR and MSE.
2. b. Compute F and perform the appropriate F test. Use α = .05.
3. c. Perform a t test for the significance of β₁. Use α = .05.
4. d. Perform a t test for the significance of β₂. Use α = .05.
   1. 1. The estimated regression equation for a model involving two independent variables and 10 observations follows.

$\hat{y}=29.1270+.5906x_1+.4980x_2$

1. a. Interpret b₁ and b₂ in this estimated regression equation.
2. b. Predict y when x₁ = 180 and x₂ = 310.