Pendulum a student experimenting with a pendulum counted the number of full swings the pendulum made in 20 seconds for various for various length of string. Her data are shown below.
Length(in.). 6.5 9 11.5 14.5 18 21 24 27 30 37.5
Number of swings 22 20 17 16 14 13 12 11 10
- A)Explain why a linear model is not appropriate for using the length of a pendulum to predict the number of Swings in 20 seconds.
- B)Re- express the data to straighten the scatterplot.
- C)Create an appropriate model.
- D)Estimate the number of swings for a pendulum with a 4-inch string.
- E)Estimate the number of swings for a pendulum with a 48-inch string.
- F)How much confidence do you place in these predictions? Why?
book
stats data and models 4th edition
Question 20 and page 267
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