Question: Take the simple regression model Y Xe, X 2 R, E[e j X] 0. Define 2i E e2 i j Xi
Take the simple regression model Y Æ X¯Åe, X 2 R, E[e j X] Æ 0. Define ¾2i
Æ E
£
e2 i
j Xi
¤
and ¹3i Æ E
£
e3 i
j Xi
¤
and consider the OLS coefficient b¯. Find E h¡ b¯¡¯
¢3 j X i
.
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