A multiple regression model has the estimated form $\hat { y }$ = 7 + 2x₁ + 9x₂ As x₁ increases by 1 unit (holding x₂ constant), y is expected to A) increase by 9 units. B) decrease by 9 units. C) increase by 2 units. D) decrease by 2 units.

Question

Quizplus · Accepted Answer

In a multiple regression model, the coefficient of a variable represents the expected change in the dependent variable for a one-unit increase in that variable, holding other variables constant. Here, the coefficient of x₁ is 2, so y is expected to increase by 2 units for a 1-unit increase in x₁.

A Multiple Regression Model Has the Estimated Form y^\hat { y }y^​

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