A multiple regression model has the form $\hat { Y }$ = b₀ + b₁x₁ + b₂x₂.The coefficient b₁ is interpreted as the: A) estimated change in y per unit change in x₁. B) estimated change in y per unit change in x₁,holding x₂constant. C) estimated change in y per unit change in x₁,when x₁ and x₂ values are correlated. D) estimated change in y per unit change in x₂,holding x₁ constant.

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Quizplus · Accepted Answer

The coefficient b₁ is the estimated change in y per unit change in x₁, holding x₂ constant. This is because b₁ is the coefficient for the x₁ term in the model, and multiple regression coefficients represent the change in y associated with a one-unit increase in the corresponding predictor variable, holding all other predictor variables constant.

A Multiple Regression Model Has the Form Y^\hat { Y }Y^

A Multiple Regression Model Has the Form $\hat { Y }$