Use Numpy to complete the following task(s).10. Solve Assignment 5.1 #5.8108415. Suppose the matrix X = 109453271511241426 describes some collected data in which each row corresponds to a data685890 468point. Determine the vector of sample means, the covariance matrix, the eigenvalues of the covariance matrix,and the associated orthonormal eigenvectors. Use these to determine the first principal component. Whatproportion of the total variance does the first principal component account for?

As per the question, we are given a matrix containing data points, where each row corresponds to a…

Answered: 810 715 841 1124 Suppose the matrix X =…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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How to interpret the following correlation matrix X1 X2 X3 X4X1 1 X2 -0.026651075 1 X3 -0.251215273 0.478429673 1 X4 0.009303729 0.185917439 -0.126481433 1
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1 Professor Yema conducted a research to determine factors that influence environmental attitude. Table 1 below is a matrix of Pearson’s r correlation coefficients for the following variables used in the study: Environmental attitude (En), level of education (Le), and income (In). Table 1: Factors that influence environmental attitude ____________________________________________________________________ Variable En Le In ____________________________________________________________________ Environmental attitude (En) 1.0 Level of education (Le) 0.6** 1.0 Income (In) –0.3* 0.9*** 1.0 ____________________________________________________________________ ***Correlation is…
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