In the first-order regression model $\tilde { y } = 12 + 6 x _ { 1 } + 8 x _ { 2 } + 4 x _ { 1 } x _ { 2 }$ ,a unit increase in x₁ increases the value of y on average by 6 units.

Question

Quizplus · Accepted Answer

In the given model, the term $4x_1x_2$ indicates an interaction between $x_1$ and $x_2$, so the effect of $x_1$ on $y$ depends on the value of $x_2$.

In the First-Order Regression Model y~=12+6x1+8x2+4x1x2\tilde { y } = 12 + 6 x _ { 1 } + 8 x _ { 2 } + 4 x _ { 1 } x _ { 2 }y~​=12+6x1​+8x2​+4x1​x2​

In the First-Order Regression Model $\tilde { y } = 12 + 6 x _ { 1 } + 8 x _ { 2 } + 4 x _ { 1 } x _ { 2 }$