A multiple regression model has the form: $\hat { Y }$ = 5.25 + 2.5x₁ + 4x₂.As x₂ increases by 1 unit,holding x₁ constant,then the value of y will increase by: A) 2.5 units. B) 7.75 units. C) 4 units on average. D) 11.75 units on average.

Question

Quizplus · Accepted Answer

The coefficient of $x_{2}$ in the regression equation is 4, indicating that for each one-unit increase in $x_{2}$, holding $x_{1}$ constant, the predicted value of $y$ ($\hat{Y}$) increases by 4 units on average.

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

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