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The following scatter plot represents the height of a basketball in seconds during a free throw shot. Height of Basketball (ft) 18 (4, 15.4) 16 (3, 14) (5, 14) 14 (2, 12.9) (6, 11) 12 10 Height (ft) 4 (0,6.3) 1 (1, 9.3) 2 3 Time (sec) s 9 7

The following scatter plot represents the height of a basketball in seconds during a free throw shot. Height of Basketball (ft) 18 (4, 15.4) 16 (3, 14) (5, 14) 14 (2, 12.9) (6, 11) 12 10 Height (ft) 4 (0,6.3) 1 (1, 9.3) 2 3 Time (sec) s 9 7

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. The following scatter plot represents the height of a basketball in seconds during a free throw shot. Height of Basketball (ft) 18 (4, 15.4) 16 (3, 14) (5, 14) 14 (2, 12.9) (6, 11) 12 10 Height (ft) (0,6.3) (1,9.3) 4 2 2 3 5 6 7 Time (sec) (a) A student chose to model the data with the function, y = 0.9286x +9.0571. Why is a quadratic model more appropriate for this data? Explain your answer in complete sentences. (b) Use a graphing calculator or other technology to write a function that better models the data in the scatter plot. Round each term to the nearest ten-thousandth. X
Transcribed Image Text:2. The following scatter plot represents the height of a basketball in seconds during a free throw shot. Height of Basketball (ft) 18 (4, 15.4) 16 (3, 14) (5, 14) 14 (2, 12.9) (6, 11) 12 10 Height (ft) (0,6.3) (1,9.3) 4 2 2 3 5 6 7 Time (sec) (a) A student chose to model the data with the function, y = 0.9286x +9.0571. Why is a quadratic model more appropriate for this data? Explain your answer in complete sentences. (b) Use a graphing calculator or other technology to write a function that better models the data in the scatter plot. Round each term to the nearest ten-thousandth. X
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