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Your Textbook Discussed the Regression Model When X Is a Binary

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Your textbook discussed the regression model when X is a binary variable
Yi = ?0 + ?iDi + ui, i = 1,..., n
Let Y represent wages, and let D be one for females, and 0 for males. Using the OLS formula for the intercept coefficient, prove that β0^\widehat { \beta 0 } is the average wage for males.

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