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A regular-size girls' basketball was bounced from a certain height. The following data was collected and rounded to the nearest hundredth. Time (t) Height (ft) 0.01 0.11 0.21 0.31 0.41 0.51 1.88 3.05 4.13 4.91 5.37 5.50 0.61 5.31 0.71 4.82 0.81 4.00 0.91 2.97 (a) Use regression to find a quadratic model for the data. (Round the regression parameters to two decimal places.) H = Use the regression model to answer parts (b). (b) When will the ball first be 3.28 feet off the ground? (Round your answer to 3 decimal places.) seconds (c) In the box below type the equation that you need to solve in order to answer part (b).

A regular-size girls' basketball was bounced from a certain height. The following data was collected and rounded to the nearest hundredth. Time (t) Height (ft) 0.01 0.11 0.21 0.31 0.41 0.51 1.88 3.05 4.13 4.91 5.37 5.50 0.61 5.31 0.71 4.82 0.81 4.00 0.91 2.97 (a) Use regression to find a quadratic model for the data. (Round the regression parameters to two decimal places.) H = Use the regression model to answer parts (b). (b) When will the ball first be 3.28 feet off the ground? (Round your answer to 3 decimal places.) seconds (c) In the box below type the equation that you need to solve in order to answer part (b).

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 18T
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A regular-size girls' basketball was bounced from a certain height. The following data was collected and rounded to the nearest hundredth.

A regular-size girls' basketball was bounced from a certain height. The following data was collected and rounded to the nearest hundredth. Time (t) Height (ft) 0.01 1.88 3.05 0.11 0.21 4.13 0.31 4.91 0.41 5.37 0.51 5.50 0.61 5.31 0.71 4.82 0.81 4.00 0.91 2.97 (a) Use regression to find a quadratic model for the data. (Round the regression parameters to two decimal places.) H = Use the regression model to answer parts (b). (b) When will the ball first be 3.28 feet off the ground? (Round your answer to 3 decimal places.) seconds (c) In the box below type the equation that you need to solve in order to answer part (b).
Transcribed Image Text:A regular-size girls' basketball was bounced from a certain height. The following data was collected and rounded to the nearest hundredth. Time (t) Height (ft) 0.01 1.88 3.05 0.11 0.21 4.13 0.31 4.91 0.41 5.37 0.51 5.50 0.61 5.31 0.71 4.82 0.81 4.00 0.91 2.97 (a) Use regression to find a quadratic model for the data. (Round the regression parameters to two decimal places.) H = Use the regression model to answer parts (b). (b) When will the ball first be 3.28 feet off the ground? (Round your answer to 3 decimal places.) seconds (c) In the box below type the equation that you need to solve in order to answer part (b).
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