3.The research shows that both X₁ and X₂ are theoretically valid, meaning that theyboth belong in the true regression relationship.Yi Bo + B₁X1i + B₂X₂i + EiThe researcher decides to estimate two regressions for the sample:Y₁ = Bo + B₁X₁i + EiY₁ = Bo + B₂X2i + €₁Would the estimated regression coefficients for ₁ and ₂ be the same as if the researchershad estimated the true regression relationship? How will the error term compare betweenmodels? How will the R-squared values for these two regressions compare to the R-squaredof the true relationship? Explain and support your answers with relevant formulas.

Given information: The information about multiple linear regression model is given.

Answered: The research shows that both X₁ and X2…

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 research shows that both X₁ and X2 are theoretically valid, meaning that they both belong in the true regression relationship. Yi = Bo + BiXi + B2X2i+ €i The researcher decides to estimate two regressions for the sample: Y = Bo + BıX + Gi Y₁ = Bo + B₂X2i + €₁