Suppose that the sample regression line of a first-order model is $ = 4 + 3 x _ { 1 } + 2 x _ { 2 }$ . If we examine the relationship between y and $x _ { 1 }$ for three different values of $x _ { 2 }$ , we observe that the effect of $x _ { 1 }$ on $y$ remains the same no matter what the value of $x _ { 2 }$ .

Question

Quizplus · Accepted Answer

If the effect of $x_1$ on $y$ remains the same for all different values of $x_2$, then it indicates that there is no interaction between $x_1$ and $x_2$ in the model. In other words, the model is additive and the effect of each predictor is independent of the other predictors. Therefore, the statement is true.

Suppose That the Sample Regression Line of a First-Order Model =4+3x1+2x2 = 4 + 3 x _ { 1 } + 2 x _ { 2 }=4+3x1​+2x2​

Suppose That the Sample Regression Line of a First-Order Model $= 4 + 3 x _ { 1 } + 2 x _ { 2 }$