   # The estimated regression equation for a model involving two independent variables and 10 observations follows. ŷ = 29.1270 + .5906 x 1 + .4980 x 2 a. Interpret b 1 and b 2 in this estimated regression equation. b. Predict y when x 1 = 180 and x 2 = 310. ### Essentials Of Statistics For Busin...

9th Edition
David R. Anderson + 4 others
Publisher: South-Western College Pub
ISBN: 9780357045435

#### Solutions

Chapter
Section ### Essentials Of Statistics For Busin...

9th Edition
David R. Anderson + 4 others
Publisher: South-Western College Pub
ISBN: 9780357045435
Chapter 15.2, Problem 1E
Textbook Problem
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## The estimated regression equation for a model involving two independent variables and 10 observations follows.ŷ = 29.1270 + .5906x1 + .4980x2 a. Interpret b1 and b2 in this estimated regression equation. b. Predict y when x1 = 180 and x2 = 310.

a.

To determine

Interpret b1 and b2 in the estimated regression equation.

### Explanation of Solution

Calculation:

The estimated regression equation for two independent variables and for 10 observations is given as y^=29.1270+0.5906x1+0.4980x2.

Multiple linear regression model:

A multiple linear regression model is given as y^=b0+b1x1+...+bpxp where y^ is the predicted value of response or dependent variable, and x1,x2,...,xp are the k predictor variables. The quantities b1,b2,...,bp are the estimated slopes corresponding to x1,x2,...,xp respectively and b0 is the estimated intercept of the line, from the sample data

b.

To determine

Predict y when x1=180 and x2=310.

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