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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The Answer of 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?

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

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