Homework Help is Here – Start Your Trial Now!
Math
Statistics
The covariance matrix of an image with three spectral components is shown below. Let x₁, x2, and x denote the spectral components of each pixel in the image. Find a new variable of the form y₁ =C₁x₁ + ₂x₂ + 3x3 that has maximum possible variance, subject to the constraint that c² +c+c=1. What percentage of the total variance in the data is explained by y₁? 27.22 19.55 6.00 S 19.55 21.88 13.36 6.00 13.36 25.32

The covariance matrix of an image with three spectral components is shown below. Let x₁, x2, and x denote the spectral components of each pixel in the image. Find a new variable of the form y₁ =C₁x₁ + ₂x₂ + 3x3 that has maximum possible variance, subject to the constraint that c² +c+c=1. What percentage of the total variance in the data is explained by y₁? 27.22 19.55 6.00 S 19.55 21.88 13.36 6.00 13.36 25.32

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

Please please answer it only correct.

In short explanation.

I will really upvote

The covariance matrix of an image with three spectral components is shown below. Let x₁, x₂, and x denote the spectral components of each pixel in the image. Find a new variable of the form y₁ = C₁x₁ + ₂x₂ + 3x3 that has maximum possible variance, subject to the constraint that c+c+c=1. What percentage of the total variance in the data is explained by y₁? 27.22 19.55 6.00 S= 19.55 21.88 13.36 6.00 13.36 25.32 Which of the following could be the new variable y, ? OA. Y₁ = -0.56x₁ +0.06x₂ -0.83x3 OB. y₁ = -0.54x₁ -0.78x2 +0.32x3 OC. y₁ = 0.62x, +0.62x₂ +0.62x3 OD. y₁=0.54x₁ -0.78x2 +0.32% E O E. y₁ = 0.54x, -0.78x2 -0.32% y₁ = 0.62x₁ +0.63x2 +0.47x3 OG. y₁=0.56x₁ +0.06x2 -0.83xg OH. y₁=0.62x₁ +0.63x₂ -0.47x3 About % of the total variance in the data is explained by y₁ (Round to the nearest tenth as needed.)
Transcribed Image Text:The covariance matrix of an image with three spectral components is shown below. Let x₁, x₂, and x denote the spectral components of each pixel in the image. Find a new variable of the form y₁ = C₁x₁ + ₂x₂ + 3x3 that has maximum possible variance, subject to the constraint that c+c+c=1. What percentage of the total variance in the data is explained by y₁? 27.22 19.55 6.00 S= 19.55 21.88 13.36 6.00 13.36 25.32 Which of the following could be the new variable y, ? OA. Y₁ = -0.56x₁ +0.06x₂ -0.83x3 OB. y₁ = -0.54x₁ -0.78x2 +0.32x3 OC. y₁ = 0.62x, +0.62x₂ +0.62x3 OD. y₁=0.54x₁ -0.78x2 +0.32% E O E. y₁ = 0.54x, -0.78x2 -0.32% y₁ = 0.62x₁ +0.63x2 +0.47x3 OG. y₁=0.56x₁ +0.06x2 -0.83xg OH. y₁=0.62x₁ +0.63x₂ -0.47x3 About % of the total variance in the data is explained by y₁ (Round to the nearest tenth as needed.)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS