In a Study of Feeding Behavior, Zoologists Recorded the Number

question 47

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.

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Definitions:

Axons

Long, slender projections of nerve cells that transmit electrical impulses away from the neuron's cell body to other neurons or muscles.

Dendrites

The branched projections of a neuron that receive electrochemical signals from other neural cells and transmit these signals toward the cell body.

Newborn Sleeps

Refers to the sleep patterns and behaviors of newborns, often characterized by short cycles of sleep and wakefulness throughout a 24-hour period.

Hours

Units of time equivalent to 60 minutes, used to measure the duration of events or the length of the day.