Consider the model described by the equation $E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } + \beta _ { 3 } x _ { 1 } x _ { 2 }$ .The slope of the relationship between $E ( y )$ and $x _ { 1 }$ A) is constant for all values of x₂. B) depends on the value of x₂. C) depends on the value of x₁. D) is constant for all values of x₁.

Question

Quizplus · Accepted Answer

The slope of the relationship between $E ( y )$ and $x _ { 1 }$ is given by the coefficient $\beta _{1} + \beta_{3}x_{2}$. Since it includes the term $x_{2}$, the value of the slope will depend on the value of $x_{2}$, and therefore, choice B is the correct answer.

Consider the Model Described by the Equation E(y)=β0+β1x1+β2x2+β3x1x2E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } + \beta _ { 3 } x _ { 1 } x _ { 2 }E(y)=β0​+β1​x1​+β2​x2​+β3​x1​x2​

Consider the Model Described by the Equation $E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } + \beta _ { 3 } x _ { 1 } x _ { 2 }$