The determination of relationships between measurements of various parts of a particular organism is a topic of

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The determination of relationships between measurements of various parts of a particular organism is a topic of interest in the branch of biology called allometry.* Suppose a biologist observes that the shoulder height h and antler size w of an elk, both in centimeters (cm), are related as indicated in this table:


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a. For each data point (h, w) in the table, plot the point (ln h, ln w) on a graph. Note that the scatter diagram suggests that y = ln w and x = ln h are linearly related.


b. Find the least-squares line y = mx + b for the data (ln h, ln w) you obtained in part (a).


c. Find numbers a and c so that w = ahc.

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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