Refer to the American Journal of Physics (June 2010) study of sound waves in a spherical cavity, Exercise. 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.
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?