Question: A principal component analysis was conducted on five variables based on sample correlation matrix, R and the following result was obtained. PC1 3.3016828 PC2 1.1120046

A principal component analysis was conducted on five variables based on sample correlation matrix, R and the following result was obtained. PC1 3.3016828 PC2 1.1120046 PC4 0.1668837 PC5 0.1268371 -0.4648420 -0.3873914 -0.4320956 -0.4843005 -0.4610815 0.4325677 0.6247047 -0.5024785 -0.0816312 -0.4043278 Eigenvalues PC3 0.2925919 Eigenvector 0.08400967 0.26916124 0.29137019 -0.85747315 0.31676145 -0.20230669 0.07595725 -0.66268326 0.04324521 0.71573965 0.7408249 -0.6176202 -0.1917368 -0.1471702 0.1063098 Based on the information given, answer the following questions. i) Determine whether the principal component analysis conducted is based on standardized variables or not. Justify your answer. ii) Write down the first dan second principal component. ) Determine the number of principal component to be retained in the analysis. State the reason. iv) Construct a scree plot. Comment on the plot. v) Determine variable that highly related to the first principal component. A principal component analysis was conducted on five variables based on sample correlation matrix, R and the following result was obtained. PC1 3.3016828 PC2 1.1120046 PC4 0.1668837 PC5 0.1268371 -0.4648420 -0.3873914 -0.4320956 -0.4843005 -0.4610815 0.4325677 0.6247047 -0.5024785 -0.0816312 -0.4043278 Eigenvalues PC3 0.2925919 Eigenvector 0.08400967 0.26916124 0.29137019 -0.85747315 0.31676145 -0.20230669 0.07595725 -0.66268326 0.04324521 0.71573965 0.7408249 -0.6176202 -0.1917368 -0.1471702 0.1063098 Based on the information given, answer the following questions. i) Determine whether the principal component analysis conducted is based on standardized variables or not. Justify your answer. ii) Write down the first dan second principal component. ) Determine the number of principal component to be retained in the analysis. State the reason. iv) Construct a scree plot. Comment on the plot. v) Determine variable that highly related to the first principal component
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