Quadratic Regression

Question

Company X tried selling widgets at various prices to see how much profit they would make. The following table shows the widget selling price, x, and the total profit earned at that price, y. Write a quadratic regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the profit, to the nearest dollar, for a selling price of 11.75 dollars.  

Price x	Profit y
$4.75	497.31
$7.25	847.13
$9.50	783.10
$12.00	290.99
$17.75	-2,523

 

Enter the coefficients of the regression equation:

  +  + 

Using this equation, find the profit, to the nearest dollar, for a selling price of 11.75 dollars.

$ 

Answer 1

How does this table work? A profit of 497 for a price of 4.75?