Using a calculator, we find the quadratic regression equation, and find that the height at 5.1 seconds is of 879.57 feet.
<h3>How to find the equation of quadratic regression using a calculator?</h3>
To find the equation, we need to insert the points (x,y) in the calculator.
In this problem, the points are given as follows:
(0.4, 64), (0.8, 122), (1.2, 175), (1.6, 223), (2.3, 301).
Inserting these points into a calculator, the equation is:
y = 3.47231343x² + 157.1327045x - 12.12067446.
The height at 5.1 seconds is of:
y = 3.47231343(5.1)² + 157.1327045(5.1) - 12.12067446.
y = 879.57.
More can be learned about regression equations at brainly.com/question/17261411
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