Chapter 5 Polynomials and Polynomial Functions - 5.9 Write Polynomial Functions and Models - Guided Practice for Example 4 - Page 396: 5

$y=2.71296x^3-25.4683x^2+71.8188x-45.6667$

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: $$y=2.71296x^3-25.4683x^2+71.8188x-45.6667.$$ We check the model by graphing it in the same viewing window as the data.