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

Essay

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.
-a) What is the least squares line for predicting trap success using
the distance from the road?
b) Sketch the least squares line on the
scatter plot. c) What is the value of $r ^ { 2 } ?$ Interpret this value in the context of this problem. d) One of the trap sites is 1459 meters from the road. Calculate the residual for this
trap site.
e) Suppose that the trap sites you analyzed above are representative of the
population of all trap sites. In general, do you think the linear model is a good
model for these data? Justify your answer by appealing to the scatterplot and
other summary statistics.