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Econ140 Cheat Sheet (DRAFT) by

Linear Regression and multilinear regression

This is a draft cheat sheet. It is a work in progress and is not finished yet.

Multi Linear Regression

Exampl­e:E­duc­ation VS Salary
Claim
wagei = B 0 + B1educi + B 2experi + ui
Yi = 0 + B1*X1i + ... + B kXki + ui
 
Key assump­tion: E[ui |X1i ...Xki] = 0
assume that all other factors are uncorr­elated with X1...Xk .
 
Bj = dY /dXj, j=1...k
holding all other factors fixed.

OLSEs for MLR

min b0;b1;b2 Xn i=1 (Yi 􀀀 b0 􀀀 b1X1i 􀀀 b2X2i )2 = SSR

OLSEs for MLR

min b0;b1;b2 Xn i=1 (Yi 􀀀 b0 􀀀 b1X1i 􀀀 b2X2i )2 = SSR