For the multiple regression model $\hat { Y }$ = 50 + 25x₁ - 10x₂ + 8x₃,if x₂ were to increase by 5,holding x₁ and x₃ constant,the value of y would: A) increase by 5. B) increase by 50. C) decrease on average by 5. D) decrease on average by 50.

Question

Quizplus · Accepted Answer

According to the regression model, an increase in x₂ leads to a decrease in the predicted value of $\hat { Y }$ by 10. Therefore, if x₂ were to increase by 5, the predicted value of $\hat { Y }$ would decrease by (10*5) = 50.

For the Multiple Regression Model Y^\hat { Y }Y^ = 50 + 25x1 - 10x2 + 8x3,if X2 Were

For the Multiple Regression Model $\hat { Y }$ = 50 + 25x₁ - 10x₂ + 8x₃,if X₂ Were