The table below shows the height, h, in meters, of an object that is thrown off the top of a building as a function of t, the time in seconds after it is thrown.
t | 0.5 | 1 | 1.5 | 2 | 2.5 | 3
h(t) | 73.775 | 87.1 | 97.975 | 106.4 | 112.375 | 115.9
Using your calculator to do a quadratic regression, express the height of the object as a function of the number of seconds that have passed since the object was thrown.
Round all numbers to 1 decimal place.
Using your quadratic regression, how high will the object be 2.6 seconds after it is thrown?
Round to 3 decimal places.
Using your quadratic regression, how long will it take the object to reach 35 meters?
Round to the 3 decimal places.