(c) True of False. If Var(U) = o and Var(U|X.) = X²o?, and we usethe homoskedastic-only formula to compute the standard errors, thenthe OLS estimator B1 will be unbiased but inconsistent.(d) Suppose that you know Bo B1. Derive a formula for the least squaresestimator of B1.!! Question 3. Basics about OLS.You have a dataset of i.i.d. observations (Y,, X;), whereY; = Bo + B1 X; + U4.Suppose that the three key assumptions of OLS hold. In particular, E(U;|X;) =0.(a) Prove that E(U) = 0.(b) Prove that E(X?U.) = 0.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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You have a dataset of i.i.d. observations (Y, X), where Y; = Bo + B1 X; + U4. %3D Suppose that the three key assumptions of OLS hold. In particular, E(U,|X;) = 0. %3D