The students of Applied Mathematics at Western University collected data from a creature living on Mars planet in Summer of 2024. They were able to plot a relationship between the length of the leg of the creature (metre) and the mass of the creature (kilogram) on a log-log plot.Figure 1: The line of best fit on the Log-Log plot of weight with respect to length is y = 3x - 2.State whether the relationship is isometric or allometric. Justify your answer.Find the relationship between L, the length of the leg, and M, the mass of the creature.If we write the relationship as M = aL', find the corresponding unit of a. yin(mass of body)Y-intercept: -2data pointsy-3x-2log-log plot0.00.51.01.52.02.53.0x In(Length of leg)

The relationship is determined by the slope of the line in the log-log plot. If the slope is 1, the…

Answered: yin(mass of body) Y-intercept: -2 data…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The students of Applied Mathematics at Western University collected data from a creature living on Mars planet in Summer of 2024. They were able to plot a relationship between the length of the leg of the creature (metre) and the mass of the creature (kilogram) on a log-log plot.

Figure 1: The line of best fit on the Log-Log plot of weight with respect to length is y = 3x - 2.

State whether the relationship is isometric or allometric. Justify your answer.
Find the relationship between L, the length of the leg, and M, the mass of the creature.
If we write the relationship as M = aL', find the corresponding unit of a.