B. From the data below, estimate a and b for the relationship: MR = aWb where MR is metabolic rate (CO2 in mL/h) and Wis weight. Please include the final equation in your answer. Hints: You should get positive numbers for both a and b. The value b is a slope on log-log axes (so you only need to know how to figure out a slope; you don't need any physiological info from our textbook). Once you have an estimate of b, an easy way to estimate the value a is to use regular (non-log) values. C. How does your estimate of b compare with that of other organisms?

Human Physiology: From Cells to Systems (MindTap Course List)
9th Edition
ISBN:9781285866932
Author:Lauralee Sherwood
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Chapter13: The Respiratory System
Section: Chapter Questions
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B. From the data below, estimate a and b for the relationship: MR = aWb where MR is metabolic
rate (CO₂ in mL/h) and Wis weight. Please include the final equation in your answer.
Hints: You should get positive numbers for both a and b. The value b is a slope on log-log
axes (so you only need to know how to figure out a slope; you don't need any physiological
info from our textbook). Once you have an estimate of b, an easy way to estimate the value a
is to use regular (non-log) values.
C. How does your estimate of b compare with that of other organisms?
Transcribed Image Text:B. From the data below, estimate a and b for the relationship: MR = aWb where MR is metabolic rate (CO₂ in mL/h) and Wis weight. Please include the final equation in your answer. Hints: You should get positive numbers for both a and b. The value b is a slope on log-log axes (so you only need to know how to figure out a slope; you don't need any physiological info from our textbook). Once you have an estimate of b, an easy way to estimate the value a is to use regular (non-log) values. C. How does your estimate of b compare with that of other organisms?
A new animal has recently been discovered by one of your colleagues, and you have been asked
to estimate the metabolic rate. You are sent 10 animals and you measure their weight with a
digital scale and their CO2 production (mL/h) with a metabolic chamber. Your data are shown in
the table. Answer the questions below.
1
2
3
4
5
6
7
8
9
10
Weight (g)
1.5
5.0
9.3
13.25
17.7
21.5
29.4
34.2
40.1
44.7
Metabolic rate (CO₂ in mL/h)
0.664
1.60
2.35
3.15
3.69
4.3
5.3
5.85
6.65
7.20
A. Plot the raw data and log-transformed data by hand (on a piece of graph paper preferably).
Are the lines different?
Transcribed Image Text:A new animal has recently been discovered by one of your colleagues, and you have been asked to estimate the metabolic rate. You are sent 10 animals and you measure their weight with a digital scale and their CO2 production (mL/h) with a metabolic chamber. Your data are shown in the table. Answer the questions below. 1 2 3 4 5 6 7 8 9 10 Weight (g) 1.5 5.0 9.3 13.25 17.7 21.5 29.4 34.2 40.1 44.7 Metabolic rate (CO₂ in mL/h) 0.664 1.60 2.35 3.15 3.69 4.3 5.3 5.85 6.65 7.20 A. Plot the raw data and log-transformed data by hand (on a piece of graph paper preferably). Are the lines different?
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