Tire mileage. Using quadratic regression on a graphing calculator, show that the quadrat...

Tire mileage. Using quadratic regression on a graphing calculator, show that the quadratic function that best fits the data on tire mileage in Problem 61 is

Reference:

Tire mileage. An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds per square inch) and mileage (in thousands of miles):

A mathematical model for the data is given by

(A) Complete the following table. Round values of f(x) to one decimal place.

(B) Sketch the graph of f and the mileage data in the same coordinate system.

(C) Use values of the modeling function rounded to two decimal places to estimate the mileage for a tire pressure of 31 lbs/sq in. and for 35 lbs/sq in.

(D) Write a brief description of the relationship between tire pressure and mileage.