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Given the Multiple Regression Equation,Ŷ = A+b₁X₁+b₂X₂,and the Bivariate Equation

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Essay

Given the multiple regression equation,Ŷ = a+b₁X₁+b₂X₂,and the bivariate equation Ŷ = a+bX₁,why is the partial regression coefficient,b₁,different from the regression coefficient,b,obtained by regressing Y on only X₁?


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