Question

An automobile tire manufacturer collected the data in the table relating tire pressure X (in pounds per square inch) andmileage (in thousands of miles). Use quadratic regression on a graphing utility to find the quadratic function f(x) that bestfits the datax Mileage28 4530 5032 5634 5130 41f(x)=k+x+O(Round to three decimal places as needed.)

Answer 1

Step 1

Graph the function using the values in the table

Step 2

Find the quadratic function that best fits the data set from the graph

$\begin{gathered} f(x)=-0.517857x^2+33.3929x-484.343 \\ To\text{ 3 d.p, f(x) = -0.}518x^2+33.393x-484.343 \end{gathered}$

Hence,

$\text{f(x) = -0.}518x^2+33.393x-484.343$