Thursday, July 17, 2014

Single Variable Calculus, Chapter 1, 1.2, Section 1.2, Problem 22

According to a recent study, the chirping rate of crickets a certain species apprears to be related to temperature as shown in the table below.


$
\begin{array}{|c|c|c|c|}
\hline
\text{Temperature} & \text{Chirping rate} & \text{Temperature} & \text{Chirping rate}\\
(^{\circ}\rm{F}) & (\text{chirps/min}) & (^{\circ}\rm{F}) & (\text{chirps\min})\\
\hline
50 &20 &75 &140\\
55 &46 &80 &173\\
60 &79 &85 &198\\
65 &91 &90 &211\\
70 &113 && \\
\hline
\end{array}
$

a.) Make a scatter plot of the data




b.) Find and graph the regression line




c.) Estimate the chirping rate at $100^{\circ}$ F by using the linear model in part (b)

The chirping rate at 100$^\circ F$ is $\approx$ 260 chirps per min.

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