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: $\begin{array}{cc}\hline \text { Number of Grunts } & \text { Age (days) } \\\hline 83 & 118 \\61 & 134 \\32 & 148 \\37 & 153 \\56 & 160 \\33 & 167 \\55 & 176 \\10 & 182 \\13 & 188 \\\hline\end{array}$

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.