Crickets make their chirping sound by sliding one wing cover very rapidly back and forth over the other. Biologists have long been aware that there is a linear relationship between temperature and the frequency with which a cricket chirps, although the slope and y-intercept of the relationship vary from species to species. The following table lists fifteen frequency-temperature observations recorded for the striped ground cricket, Nemobius fasciatus fasciatus (135). Plot these data and find the equation of the least squares line, y = a +bx. Suppose a cricket of this species is observed to chirp eighteen times per second. What would be the estimated temperature? For the data in the table, the sums needed are:

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15 15 Σ Xi = 249.8 ΣΧ-4.200.56 15 15 Vi = 1.200.6 〉Xīy;=20.127.47 Observation Chirps per Second, Temperature, Number y (F) 20.0 16.0 19.8 18.4 17.1 15.5 14.7 17.1 15.4 16.2 15.0 17.2 16.0 17.0 14.4 88.6 71.6 93.3 84.3 80.6 75.2 69.7 82.0 69.4 83.3 79.6 82.6 80.6 83.5 76.3 10 12 13 14 15