*66. Pendulum A student experimenting with a pendulum counted ssure the number of full swings the pendulum made in 20 seconds for eable various lengths of string. Her data are shown here. He Length (in.) 6.5 9 11.5 14.5 18 21 24 27 30 37.5 Number of le, Swings 22 |20 17 16 14 13 |13 12 11 10 een 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 the 48-inch string. me f) How much confidence do you place in these predictions? in- Why? 's'd