None A centered dataset with n = 100 observations and p = 6 variables was analysed to reduce its dimensionality. As part of Principal ComponentAnalysis, the following variance-covariance matrix was generated0.138 -0.101 -0.02910.1560.1561 -0.1080.1620.03-0.072-0.0020.138 -0.1081 0.164-0.1220.072-0.101-0.029-0.072 -0.0020.162 0.1641-0.089-0.0030.03 -0.122 -0.08910.072 -0.003 -0.02-0.021A) Compute and write the numerical value of the eigenvalue 4 of Σ. This eigenvalue is located in the position (4, 4) of the matrix A and issimultaneously the sample variance of the score PC4:B) Compute and write the percentage of total variability explained by the Principal component PC4. The number you write should be between 0 and100 and you should include decimals in your answer.C) As seen in lectures, the eigenvalue X4 is related to d4, one singular eigenvalue of the data matrix X. Compute and write the value of d4.D) A threshold of total variability explained has been set at 70%. How many principal components must you select? Write your answer.

C) The eigenvalue A₁ is related to d₁, one singular eigenvalue of the data matrix X, by the…

Answered: A centered dataset with n = 100…

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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