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Write the Best-Fit Linear Model for the Data \Text { Find and Then Use a Linear Model to and Lengths

question 176

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Write the best-fit linear model for the data.
-The ages and lengths of several animals of the same species are recorded in the following table:  Age (months)   Length (inches)  12915121720212126242827323538404140\begin{array}{l|l}\text { Age (months) } & \text { Length (inches) } \\\hline 12 & 9 \\\hline 15 & 12 \\\hline 17 & 20 \\\hline 21 & 21 \\\hline 26 & 24 \\\hline 28 & 27 \\\hline 32 & 35 \\\hline 38 & 40 \\\hline 41 & 40\end{array}

\text { Find and then use a linear model to predict the length of a } 35 - \text { month-old animal. }
\end{array}\]


Definitions:

Marginal Costs

The additional cost incurred from the production of one more unit of a product or service.

Value of Marginal Product

The additional revenue a firm generates from employing one more unit of input, such as labor, assuming all other inputs are constant.

Demand Decreases

A situation where there is a fall in the quantity of a product that consumers are willing and able to purchase at a given price.

Perfectly Competitive

A market structure characterized by a large number of buyers and sellers, homogenous products, no barriers to entry or exit, and perfect information among market participants.

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