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 AnimalCross-Sectional Area (m^2)Drag Force (F) (N)Atlantic bluefin tunaThunnus thynnus0.00300.42Atlantic bottlenose dolphinTursiops truncatus0.00120.21Amphiprion ocellarisEpinephalus itajaraClownfish0.00450.94Goliath grouper0.00200.32Gulf toadfishOpsanus beta0.00531.90Loggerhead sea turtleLonghorn cowfishRed snapperCaretta caretta0.00230.29Lactoria cornuta0.00390.57Lutjanus campechanus0.00170.33Isurus oxyrhincusSphoeroides nephelusChilomycterus schoepfiRhyncodon typusShortfin Mako Shark0.00080.12Southern pufferfish0.00340.82Striped burrfish0.00300.72Whale shark0.00270.24

Answered: What is the scaling coefficient for the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

What is the scaling coefficient for the relationship between Drag Force (F_drag) and Cross-Sectional Area (CSA)?

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

What is the scaling coefficient for the relationship between Drag Force (F_drag) and Drag Coefficient (C_drag)?

What is the R² value for the relationship between Drag Force (F_drag) and Drag Coefficient (C_drag)?

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 $Y = C X$ . The scaling coefficient is determined by the formula, $C = \frac{C o v (X, Y)}{V a r (X)}$ .

The $R^{2}$ value is equal to the square of the correlation coefficient of the variables. The correlation coefficient is given by $r = \frac{C o v (X, Y)}{\sqrt{V a r (X) \cdot V a r (Y)}}$ .