Suppose that the sample regression line of the first-order model is $\hat { y } = 8 + 2 x _ { 1 } + 3 x _ { 2 }$ .If we examine the relationship between y and x₁ for four different values of x₂,we observe that the: A) only difference in the four equations produced is the coefficient of x₂. B) effect of x₁ on y remains the same no matter what the value of x₂. C) effect of x₁ on y remains the same no matter what the value of x₁. D) Cannot answer this question without more information.

Question

Quizplus · Accepted Answer

The sample regression line of the first-order model $\hat { y } = 8 + 2 x _ { 1 } + 3 x _ { 2 }$ indicates that the effect of x1 on y is 2, and the effect of x2 on y is 3. The question asks about the relationship between y and x1 for four different values of x2. Since there is no indication that x2 interacts with x1, the effect of x1 on y would remain the same regardless of the value of x2. Therefore, the answer is B.

Suppose That the Sample Regression Line of the First-Order Model y^=8+2x1+3x2\hat { y } = 8 + 2 x _ { 1 } + 3 x _ { 2 }y^​=8+2x1​+3x2​

Suppose That the Sample Regression Line of the First-Order Model $\hat { y } = 8 + 2 x _ { 1 } + 3 x _ { 2 }$