In a Study of Feeding Behavior, Zoologists Recorded the Number

Essay

In a study of feeding behavior, zoologists recorded the number of grunts of a warthog feeding by a lake in the 15 minute period following the addition of food. The data showing the number of grunts and and the age of the warthog (in days) are listed below:

$\begin{array}{cc}\hline \text { Number of Grunts } & \text { Age (days) } \\\hline 90 & 125 \\68 & 141 \\39 & 155 \\44 & 160 \\63 & 167 \\40 & 174 \\62 & 183 \\17 & 189 \\20 & 195 \\\hline\end{array}$
a. Write the equation of a straight-line model relating number of grunts $( y )$ to age $( x )$ .
b. Give the least squares prediction equation.
c. Give a practical interpretation of the value of $\hat { \beta } _ { 0 }$ , if possible.
d. Give a practical interpretation of the value of $\hat { \beta } _ { 1 }$ , if possible.