In the first-order regression model ŷ = 12 + 6x₁ +8x₂ + 4x₁x₂, a unit increase in x₁ increases the value of $y$ on average by 6 units.

Name: In the first-order regression model ŷ = 12 + 6x 1 +8x 2 + 4x 1 x 2 , a unit increase in x 1 increases the value of $y$ on average by 6 units.
Brand: Quizplus
Rating: 4.9 (36 reviews)

Question

Quizplus · Accepted Answer

In the given model, the effect of a unit increase in x₁ on ŷ is not only 6 but also depends on the interaction term 4x₁x₂, so it is 6 + 4x₂.

In the First-Order Regression Model ŷ = 12 + 6x1 yyy

In the First-Order Regression Model ŷ = 12 + 6x₁ $y$