E) If we run the regression Y1 = a + Bz + Yy2 + u, where E[u] = 0, Cov(z, u) = 0, and Cov(y2, u) 0, we can test the endogeneity of the regressor y2 by running a regression of the residual from regression û, on a constant and y2: Oo + 01Y2 + w, and testing the null hypothesis Ho : 01 = 0.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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For ALL the following statements, evaluate each statement as either TRUE or FALSE. Then, justify your answer with a careful explanation. Please note that explanations may also involve mathematical and/or graphical illus- trations.

(c) If we run the regression
Y1 = a + Bz + Yy2 + u,
where E[u] = 0, Cov(z, u) = 0, and Cov(y2, u) # 0, we can test the endogeneity of the regressor y2 by running
a regression of the residual from regression
û, on a constant and y2:
û = 0 + 01Y2 + w,
and testing the null hypothesis Ho : 01 = 0.
Transcribed Image Text:(c) If we run the regression Y1 = a + Bz + Yy2 + u, where E[u] = 0, Cov(z, u) = 0, and Cov(y2, u) # 0, we can test the endogeneity of the regressor y2 by running a regression of the residual from regression û, on a constant and y2: û = 0 + 01Y2 + w, and testing the null hypothesis Ho : 01 = 0.
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