# Question

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?

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?

## Answer to relevant Questions

Refer to the Journal of Experimental Psychology-Applied (June 2000) name-retrieval study, presented in Exercise. The data for the study are saved in the NAMEGAME2 file. a. Find a 99% confidence interval for the mean recall ...In fitting a least squares line to n = 15 data points, the following quantities were computed: SSxx = 55, SSyy = 198, SSxy = -88, x̄ = 1.3, and y-bar = 35. a. Find the least squares line. b. Graph the least squares line. c. ...In Chance (Winter 2000), statistician Howard Wainer and two students compared men's and women's winning times in the Boston Marathon. One of the graphs used to illustrate gender differences is reproduced below. The ...Suppose you fit the first-order multiple-regression model y = β0 + β1x1 + β2x2 + ε to n = 25 data points and obtain the prediction equation y = 6.4 + 3.1x1 + .92x2 The estimated standard deviations of the sampling ...Because the coefficient of determination, R2, always increases when a new independent variable is added to a model, it is tempting to include many variables in the model in order to force R2 to be near 1. However, doing so ...Post your question

0