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 tenth. Using this equation, find the height, to the nearest foot, at a time of 7.7 seconds.
Time in Seconds (x) Height in Feet (y)
0.60.6 127127
1.41.4 281281
2.42.4 433433
2.82.8 488488
3.83.8 602602
4.44.4 655655