Life Without Their Physical Capture and Handling Defined as the Number of Captures Per 100 Trap-Nights

life without their physical capture and handling. In a recent study of
bobcat (Lynx rufus) abundance, camera traps were placed at varying
distances from a road. The data on trapping success from 8 trapping
stations are presented in the table at right. The trapping success is
Remote camera trapping is used to detect and monitor elusive wild- $$\begin{array} { | r | r | } \hline \begin{array} { c } \text { Distance } \\\text { (m) }\end{array} & \begin{array} { c } \text { Trap } \\\text { Success }\end{array} \\\hline 115 & 2.0 \\\hline 326 & 1.6 \\\hline 528 & 2.0 \\\hline 979 & 1.7 \\\hline 1252 & 1.9 \\\hline 1252 & 4.6 \\\hline 1459 & 5.7 \\\hline 2145 & 5.4 \\\hline\end{array}$$ defined as the number of captures per 100 trap-nights.
-When children are discharged from the hospital their parents may still need to provide
substantial care, such as using a feeding tube. It is difficult for parents to know how
far to insert the tube, especially with rapidly growing infants. Health care
professionals believe it may be possible for parents to measure their child's height
and use a regression equation to calculate the appropriate insertion length. At a major
children's hospital, children and adolescents' heights (H) and esophagus lengths (E)
were measured and a regression analysis performed. The data from this analysis is
summarized below: Summary statistics from Regression Analysis Height $( \mathrm { cm } )$ and Esophageal Length (cm)
$\begin{array}{|c|c|c|}\hline & \begin{array}{c}\text { Esophagus } \\\text { Length }(E)\end{array} & \begin{array}{c}\text { Height } \\(H)\end{array} \\\hline \bar{x} & 34 \mathrm{~cm} & 124.5 \mathrm{~cm} \\\hline s & 3.5 \mathrm{~cm} & 19 \mathrm{~cm} \\\hline\end{array}$

$$r = 0.995 , \quad \hat { E } = 11.476 + 0.181 H$$ a) For a child with a height one standard deviation above the mean height, what
would be the predicted esophagus length?
b) What proportion of the variability in esophagus length is accounted for by height?
c) From the information presented above, does it appear that the esophagus length
can be accurately predicted from the height of young patients? Provide statistical
evidence for your response.