Suppose that the sample regression equation of a model is $\tilde { y } = 4 + 1.5 x _ { 1 } + 2 x _ { 2 } - x _ { 1 } x _ { 2 }$ .If we examine the relationship between x₁ and y for four different values of x₂,we observe that the four equations produced differ only in the intercept term.

Question

Quizplus · Accepted Answer

The interaction term $-x_1x_2$ affects the slope of the relationship between $x_1$ and $y$ for different values of $x_2$, not just the intercept.

Suppose That the Sample Regression Equation of a Model Is y~=4+1.5x1+2x2−x1x2\tilde { y } = 4 + 1.5 x _ { 1 } + 2 x _ { 2 } - x _ { 1 } x _ { 2 }y~​=4+1.5x1​+2x2​−x1​x2​

Suppose That the Sample Regression Equation of a Model Is $\tilde { y } = 4 + 1.5 x _ { 1 } + 2 x _ { 2 } - x _ { 1 } x _ { 2 }$