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...

answer the following attched question 2 with all parts

Extracted 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.