Compute the Sum of Squared Residuals
-In a Study of Feeding

question 65

Multiple Choice

Compute the Sum of Squared Residuals
-In a study of feeding behavior, zoologists recorded the number of grunts of a warthog feeding by a lake in a 15 minute time 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. Compute the sum of the squared residuals of the least squared line for the given data. $\begin{array}{|c|c|c|}\hline \text { Week } & \begin{array}{c}\text { Number of } \\\text { Grunts }\end{array} & \text { Age (days) } \\\hline 1 & 90 & 125 \\\hline 2 & 68 & 141 \\\hline 3 & 39 & 155 \\\hline 4 & 44 & 160 \\\hline 5 & 63 & 167 \\\hline 6 & 40 & 174 \\\hline 7 & 62 & 183 \\\hline 8 & 17 & 189 \\\hline 9 & 20 & 195 \\\hline\end{array}$

• A) \(5533.53\)
• B) \(188.84\)
• C) \(74.39\)
• D) \(13.74\)

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Definitions:

Transformation

A comprehensive change in condition, nature, or function of something.

Slope

The measure of the steepness or incline of a line on a graph, indicating the rate at which variables change relative to each other.

Production Possibility Frontier

A graphical representation showing the maximum quantity of different goods that can be produced with a given set of resources and technology.

Opportunity Costs

The cost of an alternative that must be forgone in order to pursue a certain action or decision.