A rocket is shot off from a launcher. The accompanying table represents the height of the rocket at given times, where x is time, in seconds, and y is height, in feet. Write a quadratic regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the height, to the nearest foot, at a time of 8.2 seconds. Left time in seconds, right height in feet 0.8 195
1.3 306
1.9 424
2.5 545
3.6 707
4.24 785