Question

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 5.1 seconds. Time in Seconds (x) Height in Feet (y) 1 256 1.5 372 2 475 2.5 574 3.2 707

Answer 1

Approximately 1068 ft.

1) Considering the table and following formulas, we can fill it in:

Now let's apply those formulas:

2) Inserting the data, on the table we have (with the aid of an algebraic calculation system, the following variables:

3) Let's now plug the value of x= 5.1 so that we can find the height, into the equation: