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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A chi-square test for goodness of fit is used to examine the distribution of individuals across five categories, and a chi-square test for independence is used to examine the distribution of individuals across six categories in a 2 X 4 matrix of categories. Which test has the larger value for df? Select one: a. The test for independence has the larger value. b. The goodness of fit has the larger value. c. The df value depends on the sizes of the samples that are used. d. Both tests have the same df value.
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
You are conducting a test of independence for the daim that there is an association between the row variable and the column variable. Red Blue Green Male 23 35 25 Female 23 13 60 What is the chi-square test-statistic and the corresponding p-value for this data? x² - [three decimal accuracy] p-value [three decimal accuracy]
1.The least squares estimate of β0 is i. 2.3176 ii. 0.7176 iii. 0.8824 iv. 1.8990 2. The least squares estimate of β1 is i. 0.4773 ii. 0.2990 iii. 0.2061 iv. 0.9265 3. The linear correlation coefficient r is i. 0.4122 ii. 0.1700 iii. 0.2990 iv. 0.5683
Based on the above Correlation Matrix for Group1, complete the following table. Then answer the following questions based on the tabled information and the SPSS output.
i need help explaining 3 out of the 6 correlations
Consider the linear homogeneous second order Initial Value Problem: y''+12y'+36y=0, y(0)=-1/2, y'(0)=-5 A) Write out the characteristic equation corresponding to the differential equation B)Solve the characteristic equation and write out the general solution C) Use the initial conditions to determine the constants, then write out the final solution.

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