Suppose that the sample regression line of the first-order model is $\hat { y } = 4 + 3 x _ { 1 } + 2 x _ { 2 }$ .If we examine the relationship between y and x₁ for three different values of x₂,we observe that the effect of x₁ on y remains the same no matter what the value of x₂.

Question

Quizplus · Accepted Answer

The statement suggests that the slope of the regression line for x1 remains constant regardless of the value of x2. This indicates that there is no interaction between x1 and x2 in their effect on y. If this is the case, the effect of x1 on y remains the same regardless of the value of x2. Therefore, the statement is true.

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

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