2. The data given are sales and profits for 10 companies, say, xi and x2, respectively. The corresponding sample variance covariance matrix is calculated as (7500 300) 26 300 (a) Determine the sample principal components and their variances. (b) Explain the proportion of total variance explained by first principal component. (c) Compute the correlation coefficient between the original variables and principal components. Give the interpretation of the principal components. Perform the analysis on R and write the codes.
2. The data given are sales and profits for 10 companies, say, xi and x2, respectively. The corresponding sample variance covariance matrix is calculated as (7500 300) 26 300 (a) Determine the sample principal components and their variances. (b) Explain the proportion of total variance explained by first principal component. (c) Compute the correlation coefficient between the original variables and principal components. Give the interpretation of the principal components. Perform the analysis on R and write the codes.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 7E
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answer the following attched question 2 with all parts
![2. The data given are sales and profits for 10 companies, say, xi and x2, respectively.
The corresponding sample variance covariance matrix is calculated as
(7500 300
300
S
26
(a) Determine the sample principal components and their variances.
(b) Explain the proportion of total variance explained by first principal component.
(c) Compute the correlation coefficient between the original variables and principal components.
Give the interpretation of the principal components. Perform the analysis on R and write the
codes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5cab67dc-6489-4b3b-909c-114da54057fa%2Fca340db8-7fbd-4e86-9ef5-f18a8c3e43b4%2Fz1fct8l_processed.png&w=3840&q=75)
Transcribed Image Text:2. The data given are sales and profits for 10 companies, say, xi and x2, respectively.
The corresponding sample variance covariance matrix is calculated as
(7500 300
300
S
26
(a) Determine the sample principal components and their variances.
(b) Explain the proportion of total variance explained by first principal component.
(c) Compute the correlation coefficient between the original variables and principal components.
Give the interpretation of the principal components. Perform the analysis on R and write the
codes.
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