Given the Multiple Regression Equation,Ŷ = a + B₁X₁

question 75

Essay

Given the multiple regression equation,Ŷ = a + b₁X₁ + b₂X_2,and the bivariate equation Ŷ = 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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