Using quadratic regression on a graphing calculator, show that the quadratic function that best fits the data
Question:
Using quadratic regression on a graphing calculator, show that the quadratic function that best fits the data on tire mileage in Problem 65 is
f(x) = -0.518x2 + 33.3x - 481
Problem 65
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
f(x) = -0.518x2 + 33.3x - 481
(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 the modeling function f(x) to estimate the mileage for a tire pressure of 31 lbs/sq in. and for 35 lbs/sq in. Round answers to two decimal places.
(D) Write a brief description of the relationship between tire pressure and mileage.
Step by Step Answer:
College Mathematics For Business Economics, Life Sciences, And Social Sciences
ISBN: 978-0134674148
14th Edition
Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker