27 Sound waves from a basketball. The American Journal ofPhysics (June 2010) did a study of sound...

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27 Sound waves from a basketball. The American Journal ofPhysics (June 2010) did a study of sound waves in a spherical cavity. The frequencies of sound waves (estimated using a mathematical formula) resulting from the first 24 resonances (echoes) after striking a basketball with a metal rod are reproduced in the following table and saved in the BBALL file. Recall that the researcher expects the sound wave frequency to increase as the number of resonances increases.

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a. Hypothesize a model for frequency ( y ) as a function of number of resonances ( x ) that proposes a linearly increasing relationship.

b. According to the researcher’s theory, will the slope of the line be positive or negative?

c. Estimate the beta parameters of the model and (if possible) give a practical interpretation of each.

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