Question

What equation is a quadratic model for the data set? X 4, 10, 13, 17, 8, 12, 6 y 20, 86, 174, 274, 72, 135, 44

Answer 1

Option C is correct.

`y = 0.9673x^2-0.8475x + 10.4334` is an quadratic model equation for the data set

Explanation:

To find the equation of the quadratic model for the given data set:

x y

4 20

10 86

13 174

17 274

8 72

12 135

6 44

• We begin by entering the data into a graphing utility and displaying the scatter plot, as shown below in the figure.
• In the scatter plot, you can see that the data appears to follow a parabolic pattern.

• Using the feature of a graphing utility, you can find the quadratic model as shown below.

Therefore, the quadratic model for the given data is given by;

`y = 0.9673x^2-0.8475x + 10.4334`