question 11 1 pts what is the quadratic regression equation for the data set? x 6 3 10 3 5 15 9 y 100 110 50…

question 11 1 pts what is the quadratic regression equation for the data set? x 6 3 10 3 5 15 9 y 100 110 50 90 120 30 70 y = -0.175x^{2}+3.786x + 121.119 y = -0.175x - 3.786 y = -0.175x^{2}-3.786x + 121.119 y = -0.175(3.786)^{x}

question 11 1 pts what is the quadratic regression equation for the data set? x 6 3 10 3 5 15 9 y 100 110 50 90 120 30 70 y = -0.175x^{2}+3.786x + 121.119 y = -0.175x - 3.786 y = -0.175x^{2}-3.786x + 121.119 y = -0.175(3.786)^{x}

Answer

Explanation:

Step1: Recall quadratic regression form

The general form of a quadratic regression equation is $y = ax^{2}+bx + c$.

Step2: Analyze options

The second option $y=-0.175x - 3.786$ is a linear equation. The fourth option $y=-0.175(3.786)^{x}$ is an exponential equation. We are looking for a quadratic form. For the first option $y=-0.175x^{2}+3.786x + 121.119$ and the third option $y=-0.175x^{2}-3.786x + 121.119$, the correct quadratic - regression form has the $x^{2}$ term, $x$ term and a constant term. By the nature of quadratic regression, the first option $y=-0.175x^{2}+3.786x + 121.119$ is in the correct quadratic - regression form.

Answer:

$y=-0.175x^{2}+3.786x + 121.119$