102 Sound waves from a basketball. Refer to the American Journal of Physics (June 2010) study of sound waves in a spherical cavity, Exercise 27 . The frequencies of sound waves resulting from the first 24 resonances (echoes)

after striking a basketball with a metal rod are saved in the BBALL file. You fit a straight-line model relating frequency ( y ) to number of resonances ( x ) in Exercise 27.

a. Use the model to predict the sound wave frequency for the 10th resonance.

b. Form a 90% confidence interval for the prediction, part a . Interpret the result.

c. Suppose you want to predict the sound wave frequency for the 30th resonance. What are the dangers in making this prediction with the fitted model?