A centered dataset with n = 224 observations and p = 9 variables was analysed to reduce its dimensionality. The following is a list of singular values of X in decreasing order, that is d₁, d₂, ..., dg: 518.9798, 257.4187, 242.2415, 229.1633, 219.805, 212.1593, 208.5447, 193.1164, 164.7997. A) Compute and write the numerical value of the eigenvalue 6 of Σ. This eigenvalue is located in the position (6, 6) of the matrix A and is simultaneously the sample variance of the score PC6: B) Compute and write the percentage of total variability explained by the Principal component PC6. The number you write should be between 0 and 100 and you should include decimals in your answer. C) Besides being centered, was this data scaled as well? Select.
A centered dataset with n = 224 observations and p = 9 variables was analysed to reduce its dimensionality. The following is a list of singular values of X in decreasing order, that is d₁, d₂, ..., dg: 518.9798, 257.4187, 242.2415, 229.1633, 219.805, 212.1593, 208.5447, 193.1164, 164.7997. A) Compute and write the numerical value of the eigenvalue 6 of Σ. This eigenvalue is located in the position (6, 6) of the matrix A and is simultaneously the sample variance of the score PC6: B) Compute and write the percentage of total variability explained by the Principal component PC6. The number you write should be between 0 and 100 and you should include decimals in your answer. C) Besides being centered, was this data scaled as well? Select.
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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Transcribed Image Text:A centered dataset with n = 224 observations and p = 9 variables was analysed to reduce its dimensionality. The following is a list of
singular values of X in decreasing order, that is d₁, d₂, ..., dg: 518.9798, 257.4187, 242.2415, 229.1633, 219.805, 212.1593, 208.5447,
193.1164, 164.7997.
A) Compute and write the numerical value of the eigenvalue 6 of Σ. This eigenvalue is located in the position (6, 6) of the matrix A and is
simultaneously the sample variance of the score PC6:
B) Compute and write the percentage of total variability explained by the Principal component PC6. The number you write should be
between 0 and 100 and you should include decimals in your answer.
C) Besides being centered, was this data scaled as well? Select.
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