3. A student experimenting with a pendulum counted the number of full swings the pendulum made in 20 seconds for various lengths of string. Here are her data: Length 6.5 9 11.5 14.5 18 21 24 27 30 37.5 (in) # of 22 20 17 16 14 13 13 12 11 10 Swings 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. X = length y= # of swings The scatterplot looks curved and residual X plot. has possibe pattern. X b. Re-express the data to straighten the scatterplot In X, Inu gave the most random ( answers may vary )residual plot c. Write the LSRL and sketch the residual plot for the appropriate model. Iny = -453 x + 3.962 E Inx d. Estimate the number of swings for a pendulum with a 4-inch string