The estimated regression equation for a model involving two independent variables and 10 observations follows:\[\hat{y} = 33.0798 + 0.6071x_1 + 0.7058x_2\]**a. Interpret \(b_1\) and \(b_2\) in this estimated regression equation (to 4 decimals).**- \(b_1 =\) (input box)(Selection menu for interpretation)Options:- \(y\) changes by 0.6071 when \(x_1\) increases by 1 unit and \(x_2\) stays the same- \(y\) changes by 0.6071 when \(x_2\) increases by 1 unit and \(x_1\) stays the same- \(y\) changes by 0.7058 when \(x_1\) increases by 1 unit and \(x_2\) stays the same- \(y\) changes by 0.7058 when \(x_2\) increases by 1 unit and \(x_1\) stays the same- \(b_2 =\) (input box)### Explanation:This regression equation involves two independent variables, \(x_1\) and \(x_2\). The coefficients \(b_1\) and \(b_2\) represent the expected change in the dependent variable \(y\) for a one-unit increase in each respective independent variable, holding the other variable constant. The given options allow selection for correct interpretation of these coefficients. **Estimated Regression Equation for Two Independent Variables**The estimated regression equation for a model involving two independent variables and 10 observations is as follows:\[\hat{y} = 33.0798 + 0.6071x_1 + 0.7058x_2\]### a. Interpretation of Coefficients \(b_1\) and \(b_2\)Interpret \(b_1\) and \(b_2\) in this estimated regression equation (to 4 decimals).\(b_1 = \) - [Select your answer -]\(b_2 = \) - [Select your answer -]### b. EstimationEstimate \(y\) when \(x_1 = 180\) and \(x_2 = 310\) (to 3 decimals).\[\]

Answered: Image /qna-images/answer/f05cbf95-cb1b-4a33-a42d-d7b4b553b2f8.jpg

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 regression equation relating dexterity scores (x) and productivity scores (y) for the employees of a company is ŷ=5.43+3.43x. Ten pairs of data were used to obtain the equation. The same data yield r=0.383 and ȳ=55.42. What is the best predicted productivity score for a person whose dexterity score is 30 (round to the nearest hundredth)?
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The estimated regression equation for a model involving two independent variables and 10 observations follows. ŷ = 32.4394 + 0.5695x1 + 0.7347x2 a. Interpret b1 and b2 in this estimated regression equation (to 4 decimals). b. Estimate y when x1 = 180 and x2 = 310 (to 3 decimals).
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A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=ax+b a=-0.904 b=39.953 r2=0.4096 r=-0.64 Use this to predict the number of situps a person who watches 0.5 hours of TV can do (to one decimal place) > Next Question hp Ce
The linear regression equation for predicting systolic blood pressure from age is as follows: y = 42 + 2.5x . Find the residual for a person who is 21 years of age with a systolic blood pressure of 91.9.
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