For the following regression equation $\tilde { y } = 20 + 8 x _ { 1 } + 5 x _ { 2 } + 3 x _ { 1 } x _ { 2 }$ ,which combination of x₁ and x₂,respectively,results in the largest average value of y? A) 3 and 5 B) 5 and 3 C) 6 and 3 D) 3 and 6

Question

Quizplus · Accepted Answer

The interaction term $3x_1x_2$ contributes significantly to the value of $\tilde{y}$. The combination of $x_1 = 6$ and $x_2 = 3$ maximizes this term, resulting in the largest average value of $\tilde{y}$.

For the Following Regression Equation y~=20+8x1+5x2+3x1x2\tilde { y } = 20 + 8 x _ { 1 } + 5 x _ { 2 } + 3 x _ { 1 } x _ { 2 }y~​=20+8x1​+5x2​+3x1​x2​

For the Following Regression Equation $\tilde { y } = 20 + 8 x _ { 1 } + 5 x _ { 2 } + 3 x _ { 1 } x _ { 2 }$