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