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Given the Multiple Regression Equation, Y^ = a + B1X1

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Given the multiple regression equation, Y^ = a + b1X1 + b2X2, and the bivariate equation Y^ = a + bX, why is the partial regression coefficient, b1, different from the regression coefficient, b, obtained by regressing Y on only X1?

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This happens because X1 and X2 are usually c...

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