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 10.75 dollars. Price (x) Profit (y)
9.509.50 58095809
11.0011.00 66936693
15.5015.50 91749174
21.5021.50 87118711
25.2525.25 67336733
27.5027.50 50135013