### Regression Equation AnalysisThe estimated regression equation for a model involving two independent variables and 10 observations is as follows:\[ \hat{y} = 29.1270 + 0.5906x_1 + 0.4980x_2 \]#### a. Interpret $ b_1 $ and $ b_2 $ in this estimated regression equation.- **$ b_1 $** represents the change in the dependent variable $ \hat{y} $ for a one-unit change in the independent variable $ x_1 $, keeping $ x_2 $ constant. - **$ b_2 $** represents the change in the dependent variable $ \hat{y} $ for a one-unit change in the independent variable $ x_2 $, keeping $ x_1 $ constant.#### b. Predict $ y $ when $ x_1 = 180 $ and $ x_2 = 310 $ (to 2 decimals).*The box is provided to input your calculated prediction based on the given values for $ x_1 $ and $ x_2 $.*

The dependent variable is y. The independent variables are x1 and x2. This is multiple regression…

Answered: The estimated regression equation for a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The estimated regression equation for a model involving two independent variables and 10 observations follows. ŷ = 29.1270 + .5906x, + .4980x, a. Interpret bị and bz in this estimated regression equation. b1 Select b2 Select b. Predict y when x1 = 180 and x2 - 310 (to 2 decimals).