question archive It is known that there is a linear relationship between current ambient temperature and frequency at which crickets chirp, although the exact slope and y-intercept depend on the species of cricket

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It is known that there is a linear relationship between current ambient temperature and frequency at which crickets chirp, although the exact slope and y-intercept depend on the species of cricket. For a particular species, 15 measurements for the temperature in Fahrenheit (x) and the number of chirps per second (y) were taken. We get the following summary data:

x=80.04, sx =6.71, y=16.65, sy =1.70, R=0.83.

Note also that the smallest value for x in the sample was 69.4F and the largest was 93.3F.

-(a) Find the least squares line giving the frequency of chirps based on the temperature.

-(b) The current temperature is 83F. Predict the frequency at which a cricket of this species would be chirping.

-(c) On another day, the temperature is 35F. Should we be using our model to predict the number of chirps?

-(d) What does the slope of your model tell you about the relationship between the chirp frequency and the temperature?

-(e) What does the y-intercept of your model tell you? Does this actually make sense to interpret in this case?

-(f) About what percentage of the variability in the chirping frequency is due to temperature changes?