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

question 68

Essay

Given the multiple regression equation, Y^{^} = a + b₁X₁ + b₂X_2, 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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