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?

Length (in.) 6.5 9 11.5 9 11.5 14.5 18 21 24 27 30 37.5 Number of Swings 22 22 20 17 16 14 13 13 12 11 10