Question

Crickets make their chirping noise by sliding one wing cover very rapidly back and forth over the other. Biologists have long been aware of a linear relationship between temperature and the frequency with which a cricket chirps, although the slope and intercept varies between species. Listed below are 15 frequency- temperature observations recorded for the striped ground cricket, Nemobius fasciatus fasciatus. Find a 95% Confidence Interval for mean when x= 16.

X Chirps Y Temp (F)

20 88.6

16 71.6

19.8 93.3

18.4   84.3

17.1 80.6

15.5 75.2

14.7 69.7

17.1   82

15.4 69.4

16.2 83.3

15 79.6

17.2 82.6

16 80.6

17 83.5

14.4 76.3

From scatter plot: y = 25.23 + 3.29x

Answer 1