Compute and Interpret the Coefficient of Determination
-In a Study $\mathrm { R } ^ { 2 }$

question 170

Short Answer

Compute and Interpret the Coefficient of Determination
-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 weekly number of grunts and the age of the warthog (in days) are listed below. Find and interpret the value of $\mathrm { R } ^ { 2 }$ .
$\begin{array}{cc}\hline \text { Number of Grunts } & \text { Age (days) } \\\hline 82 & 117 \\60 & 133 \\31 & 147 \\36 & 152 \\55 & 159 \\32 & 166 \\54 & 175 \\9 & 181 \\12 & 187 \\\hline\end{array}$

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Definitions:

Levels of Conceptualization

The different stages or depths at which ideas, theories, or understandings can be comprehended or developed.

Coerced Course

A path of action that is forced or compelled, often under pressure or without the volition of those involved.

Objective Measure

A quantifiable method used to evaluate performance or progress based on unbiased indicators.

Productivity

Measurement of the efficiency of production, often quantified as the ratio of outputs to inputs in a given time period.