yin(mass of body) Y-intercept: -2 data points y-3x-2 log-log plot 0.0 0.5 1.0 1.5 2.0 2.5 3.0 x In(Length of leg)
yin(mass of body) Y-intercept: -2 data points y-3x-2 log-log plot 0.0 0.5 1.0 1.5 2.0 2.5 3.0 x In(Length of leg)
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.4: The Slope-intercept Form Of A Linear Equation
Problem 1WE
Question
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.
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