Suppose that the sample regression equation of a model is $\tilde { y } = 4.7 + 2.2 x _ { 1 } + 2.6 x _ { 2 } - x _ { 1 } x _ { 2 }$ .If we examine the relationship between y and x₂ for x₁ = 1,2,and 3,we observe that the three equations produced not only differ in the intercept term,but the coefficient of x₂ also varies.

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Quizplus · Accepted Answer

This statement is true because the sample regression equation includes the term -x1x2, which indicates that the relationship between y and x1 varies depending on the value of x2. Therefore, the coefficient of x2 will affect the intercept and coefficient of x1 in the regression equation, leading to different equations for different values of x2.

Suppose That the Sample Regression Equation of a Model Is y~=4.7+2.2x1+2.6x2−x1x2\tilde { y } = 4.7 + 2.2 x _ { 1 } + 2.6 x _ { 2 } - x _ { 1 } x _ { 2 }y~​=4.7+2.2x1​+2.6x2​−x1​x2​

Suppose That the Sample Regression Equation of a Model Is $\tilde { y } = 4.7 + 2.2 x _ { 1 } + 2.6 x _ { 2 } - x _ { 1 } x _ { 2 }$