Question

What is the quadratic regression equation for the data set?

A. yˆ=0.056x2+1.278x−0.886 B. yˆ=0.056x2+1.278
C. yˆ=0.056x2+1.278x
D. yˆ=0.056x2−1.278x−0.886

Answer 1

your answer is A. yˆ=0.056x2+1.278x−0.886

Answer 2

Option:A is the correct answer.

The quadratic regression equation for the data set is:

A.
`y=0.056x^2+1.278x-0.886`

Explanation:

We are given a set of data value as:

x y

3 3.45

5 6.9

6 8.79

8 12.91

10 17.48

12 22.49

15 30.85

On plotting these points on a scatter plot we see that the line that best fits these data points is a parabola i.e. the equation is a equation of a quadratic function.

The equation of the line of best fit is:

`y=0.056x^2+1.278x-0.886`