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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)
0.40.4 6464
0.80.8 122122
1.21.2 175175
1.61.6 223223
2.32.3 301301

Respuesta :

Using a calculator, we find the quadratic regression equation, and find that the height at 5.1 seconds is of 879.57 feet.

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.

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 https://brainly.com/question/17261411

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