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Pendulum A student experimenting with a pendulum counted
Chapter 9, Problem 20E(choose chapter or problem)
Problem 20E
Pendulum A student experimenting with a pendulum counted the number of full swings the pendulum made in 20 seconds for various lengths of string. Her data are shown below.
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?
Questions & Answers
QUESTION:
Problem 20E
Pendulum A student experimenting with a pendulum counted the number of full swings the pendulum made in 20 seconds for various lengths of string. Her data are shown below.
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?
ANSWER:
Step 1 of 7
The data for number of swings pendulum made in 20 s is shown below:
