220B_mid11

220B_mid11 - 1 Econ 220B, Winter 2011 James Hamilton...

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Unformatted text preview: 1 Econ 220B, Winter 2011 James Hamilton Midterm Exam DIRECTIONS: No books or notes of any kind are allowed. Answer all questions on separate paper. 150 points are possible on this exam. 1.) (55 points total) An economist is interested in comparing the wages earned by male and female workers. Let x t 1 = 1 if worker t is male otherwise x t 2 = 1 if worker t is female otherwise y t = wage earned by worker t. We have an observed sample of t = 1 , ..., T workers of whom n M are male and n F are female, so that n M + n F = T. Consider the following regression model: y t = x t 1 1 + x t 2 2 + t | X N ( , 2 I T ) . a.) (15 points) Calculate the OLS estimates of 1 and 2 . What is the relation between the OLS estimate b 1 and the average wage earned by male workers in the sample? b.) (15 points) Propose an unbiased estimate of 2 . (You do not need to prove that it is unbiased just state the formula)....
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This note was uploaded on 03/02/2012 for the course ECON 220b taught by Professor Hamilton,j during the Spring '08 term at UCSD.

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220B_mid11 - 1 Econ 220B, Winter 2011 James Hamilton...

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