Suppose that the sample regression line of the first-order model is .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

According to the question, the sample regression line of the first-order model is given, but there is no information about the coefficient of x₁. Therefore, we cannot conclude anything about the effect of x₁ on y. However, the question states that the relationship between y and x₂ is examined for four different values of x₂, and it is observed that only the coefficient of x₂ changes in the equations produced. This implies that the effect of x₁ on y remains the same no matter what the value of x₂. Therefore, the correct choice is B.

Suppose That the Sample Regression Line of the First-Order Model