Question

Which equation is a quadratic model for the data set? Hint: Use a graphing calculator or a spreadsheet program.

Data table

Answer 1

Equation for the quadratic model for the data set is;

`y = 1.0774x^2-0.9393x+0.6905`

Explanation:

A Quadratic regression is the process of finding the equation of the parabola that best fits the set of data.

An equation is in the form of:
`y=ax^2+bx+c` where a≠0.

You just enter the x-coordinates and y-coordinates in your graphing calculator and

then do a quadratic regression.

The equation of the parabola that best approximates the points is

:

`y = 1.0774x^2-0.9393x+0.6905`

Now, plot the graph of the above equation as shown below in the figure.

Also you can see that the
`R^2` value for the above data is, 0.994