Time in Seconds  1  2.5  3.5  4  4.5   Height of Ball  111  123  91  63  27     Answer the following questions: Write the quadratic regression equation for the data. Define your variables. Include the units. Round to 2 decimal places if necessary.  What is the height of the building? include the units. What is the maximum height of the ball and what time does it occur? Answer in a complete sentence.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 6PPS
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A ball is kicked off the top of a building. The table gives the height, in feet, of the ball t seconds after it is kicked. 

 

  Time in Seconds

 1

 2.5

 3.5

 4

 4.5

  Height of Ball

 111

 123

 91

 63

 27

 

 

Answer the following questions:

  1. Write the quadratic regression equation for the data. Define your variables. Include the units. Round to 2 decimal places if necessary. 
  2. What is the height of the building? include the units.
  3. What is the maximum height of the ball and what time does it occur? Answer in a complete sentence.
  4. How long will it take for the ball to hit the ground? (Assuming no one else interferes with its path.) Write the equation you used to solve this this question. Answer in a complete sentence. Round to 2 decimal places.
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