Hyla chrysoscelis is a type of tree frog with a distinct mating call. field biologists wanted to know if the temperature of its natural habitat affects the frog’s mating call, so they sampled 28 frogs and measured the ground temperature where they sat and their mating call frequency. the correlation between ground temperature and mating call frequency was r = 0.76. the ground temperatures had a mean of 27.1˚c and a standard deviation of 3.20˚c. the frequency of the mating calls had a mean of 45.1 notes/sec and a standard deviation of 3.9 notes/sec.

a) assuming all relevant assumptions were met, find the ols linear regression equation for predicting mating call frequency based on ground temperature.

b) interpret the coefficient estimates of your model in the context of the problem.

c) if a frog was sitting on 30˚c ground and had call frequency of 52 notes/sec, what is this frog’s residual?

d) is ground temperature a significant linear predictor of mating call frequency? include all steps for full credit. given: sebi = 0.67