Chapter 15.5, Problem 20E

Refer to the data presented in exercise 2. The estimated regression equation for these data is

$\hat{y}=-18.37+2.01x_1+4.74x_2$

Here SST = 15,182.9, SSR = 14,052.2, $s_{b_1}=.2471$, and $s_{b_2}=.9484$.

1. a. Test for a significant relationship among x₁, x₂, and y. Use α = .05.
2. b. Is β₁ significant? Use α = .05.
3. c. Is β₂ significant? Use α = .05.
   1. 1. Consider the following data for a dependent variable y and two independent variables, x₁ and x₂.

1. a. Develop an estimated regression equation relating y to x₁. Predict y if x₁ = 47.
2. b. Develop an estimated regression equation relating y to x₂. Predict y if x₂ = 10.
3. c. Develop an estimated regression equation relating y to x₁ and x₂. Predict y if x₁ = 47 and x₂ = 10.