Pierce XXXXXXXXXXmechanically measured the frequency (the number of wing vibrations per second) of chirps (or pulses of sound) made by a striped ground cricket, at various ground temperatures. Since...

Pierce (1948) mechanically measured the frequency (the number of wing vibrations per second) of chirps (or pulses of sound) made by a striped ground cricket, at various ground temperatures. Since crickets are ectotherms (cold-blooded), the rate of their philosophical processes and their overall metabolism are influenced by temperature. Consequently, there is a reason to believe that temperature would have a profound affect on aspects of their behavior, such as chirp frequency. In general, it was found that crickets did not sing at temperatures colder than 60°F or warmer than 100°F. In the following data let X= chirps/sec for the striped ground cricket and Y= temperature in degrees of Fahrenheit.

X   19      19.8        18.4     17.1     15.5    14.7     17.1    15.4    16.2    15   17.2    16     17     14.4

Y    71.6     93.3    84.3    80.6     75.2    69.7    82     69.4    83.3     79.6    82.6     80.6     83.5    76.3

n=14; sigma X; sigma y; sigma x²; (sigma x)²; sigma xy; xbar 16.63; y bar 79.43; beta₀hat 41.13; beta₁hat 2.30

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what does y hat=?

Find the best predicted temperature of a cricket his chart frequency is 18.5. Use two decimal places:?