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 53 is

(coefficients rounded to three significant digits).

Reference: Problem 53:

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 off 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 pounds per square inch. For 35 pounds per square inch.

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