What is the scaling coefficient for the relationship between Drag Force (Fdrag) and Cross-Sectional Area (CSA)?  What is the R2 value for the relationship between Drag Force (Fdrag) and Cross-Sectional Area (CSA)? What is the scaling coefficient for the relationship between Drag Force (Fdrag) and Drag Coefficient (Cdrag)?  What is the R2 value for the relationship between Drag Force (Fdrag) and Drag Coefficient (Cdrag)?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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What is the scaling coefficient for the relationship between Drag Force (Fdrag) and Cross-Sectional Area (CSA)? 

What is the R2 value for the relationship between Drag Force (Fdrag) and Cross-Sectional Area (CSA)?

What is the scaling coefficient for the relationship between Drag Force (Fdrag) and Drag Coefficient (Cdrag)? 

What is the R2 value for the relationship between Drag Force (Fdrag) and Drag Coefficient (Cdrag)?

 

Aquatic Animal
Cross-Sectional Area (m^2)
Drag Force (F) (N)
Atlantic bluefin tuna
Thunnus thynnus
0.0030
0.42
Atlantic bottlenose dolphin
Tursiops truncatus
0.0012
0.21
Amphiprion ocellaris
Epinephalus itajara
Clownfish
0.0045
0.94
Goliath grouper
0.0020
0.32
Gulf toadfish
Opsanus beta
0.0053
1.90
Loggerhead sea turtle
Longhorn cowfish
Red snapper
Caretta caretta
0.0023
0.29
Lactoria cornuta
0.0039
0.57
Lutjanus campechanus
0.0017
0.33
Isurus oxyrhincus
Sphoeroides nephelus
Chilomycterus schoepfi
Rhyncodon typus
Shortfin Mako Shark
0.0008
0.12
Southern pufferfish
0.0034
0.82
Striped burrfish
0.0030
0.72
Whale shark
0.0027
0.24
Transcribed Image Text:Aquatic Animal Cross-Sectional Area (m^2) Drag Force (F) (N) Atlantic bluefin tuna Thunnus thynnus 0.0030 0.42 Atlantic bottlenose dolphin Tursiops truncatus 0.0012 0.21 Amphiprion ocellaris Epinephalus itajara Clownfish 0.0045 0.94 Goliath grouper 0.0020 0.32 Gulf toadfish Opsanus beta 0.0053 1.90 Loggerhead sea turtle Longhorn cowfish Red snapper Caretta caretta 0.0023 0.29 Lactoria cornuta 0.0039 0.57 Lutjanus campechanus 0.0017 0.33 Isurus oxyrhincus Sphoeroides nephelus Chilomycterus schoepfi Rhyncodon typus Shortfin Mako Shark 0.0008 0.12 Southern pufferfish 0.0034 0.82 Striped burrfish 0.0030 0.72 Whale shark 0.0027 0.24
Expert Solution
Step 1

Let X and Y be two random variables. Then the scaling coefficient C for the relationship between the variables will be such that Y=CX. The scaling coefficient is determined by the formula, C=CovX, YVarX

The R2 value is equal to the square of the correlation coefficient of the variables. The correlation coefficient is given by r=CovX, YVarX·VarY.

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