Question

During one game, the Dallas Cowboys punter was called upon to punt the ball eight times. On one of these punts, the punter struck the ball at his own 30-yard line. The height, h of the ball above the field as a function of time , t, in seconds can be partially modeled by the following table:
t
0
0.6
1.2
1.8
2.4
3.0
h(t)
2.50
28.56
43.10
46.12
37.12
17.60

Use your graphing calculator, to obtain a quadratic regression function for these data. Round the values of a,b, and c to four decimal places.

Answer 1

Using a calculator, the quadratic regression equation for the data is given by:

h(t) = -15.9752t² + 52.8875t + 2.5536.

How to find the equation of quadratic regression using a calculator?

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points (t, h(t)) are given as follows:

(0, 2.5), (0.6, 28.56), (1.2, 43.10), (1.8, 46.12), (2.4, 37.12), (3, 17.6).

Inserting these points into the calculator, the quadratic regression equation for the data is given by:

h(t) = -15.9752t² + 52.8875t + 2.5536.

More can be learned about quadratic regression at https://brainly.com/question/24028025
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