A baseball is thrown upward, and its height measured at 0.5-second intervals using a strobe light. The resulting data are given the table. (Let y be the height of the baseball in ft and x the time in seconds since it is thrown.) Time (s) Height (ft) 4.2 0.5 26.1 1.0 40.1 1.5 46.0 2.0 43.9 2.5 33.7 3.0 15.8 (a) Draw a scatter plot of the data. y 70 60 5of 40 50 40 30 30 20 20 10 10 y 70 50 60 40 50 30 40 30 20 10 20 10 2 3 O-1 What degree polynomial is appropriate for modeling the data? (b) Find a polynomial model that best fits the data. (Round all numerical values to three decimal places.)
A baseball is thrown upward, and its height measured at 0.5-second intervals using a strobe light. The resulting data are given the table. (Let y be the height of the baseball in ft and x the time in seconds since it is thrown.) Time (s) Height (ft) 4.2 0.5 26.1 1.0 40.1 1.5 46.0 2.0 43.9 2.5 33.7 3.0 15.8 (a) Draw a scatter plot of the data. y 70 60 5of 40 50 40 30 30 20 20 10 10 y 70 50 60 40 50 30 40 30 20 10 20 10 2 3 O-1 What degree polynomial is appropriate for modeling the data? (b) Find a polynomial model that best fits the data. (Round all numerical values to three decimal places.)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 2E: Planetary Velocity The following table gives the mean velocity of planets in their orbits versus...
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