In a Study of Feeding Behavior, Zoologists Recorded the Number

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: $\begin{array}{cc}\hline \text { Number of Grunts } & \text { Age (days) } \\\hline 82 & 117 \\60 & 133 \\31 & 147 \\36 & 152 \\55 & 159 \\32 & 166 \\54 & 175 \\9 & 181 \\12 & 187 \\\hline\end{array}$

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.