POS 3713 Chapter Notes - Chapter 9: Multicollinearity, Standard Deviation, Covariance

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The majority of social science is multiple regression analyses. Bivariate population regression model: yi = + i + ui. Multiple population regression model: yi = + 1 i + b2zi + ui. In both, the coe cient in front of the variable x ( in the two-variable model, 1 in the multiple regression model) represents the slope e ect of x on y. In the multiple regression case, though, 1 actually represents that e ect of x on y while holding constant the e ects of z. Multiple regression suggests the formula for a plane instead of a line. 1 represents more than the e ect of n ; in the multiple regression formula, it represents the e ect of x on y while controlling for the e ect of z. The coe cient 2 represents the e ect of z on y while controlling for the e ect of x.

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