Answer
$y=-4.69444x^3+50.0238x^2-132.71x+97$
Work Step by Step
We enter the data into a graphing calculator and make a scatter plot. The points indicate a cubic model.
We use the cubic regression to obtain the model:
$$y=-4.69444x^3+50.0238x^2-132.71x+97.$$
We check the model by graphing it in the same viewing window as the data.