Question

Use technology to find the quadratic regression curve through the given points. HINT [See Example 5.] (Round all coefficients to four decimal places.)

{(2, 0), (-3, 7), (-6, 4)}

Answer 1

The given coordinate pairs are
(2,0), (-3,7) and (-6,4).

We want to fit a quadratic polynomial to the data which is of the form
f(x) = ax² + bx + c

From the curve fitting program, obtain the curve fitting coefficients as
a = -0.3000
b = -1.7000
c = 4.6000

That is,
f(x) = -0.3000*x² - 1.7000*x + 4.6000.
A graph of the given data and the fitted quadratic function is shown below.