We have the following the samples: {(2,1), (2,2), (3,2), (3,3)', (4,1)', (6,5)', (7,4)', (7,5)', (8,5)', (8,6)')....

 

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We have the following the samples: {(2,1), (2,2), (3,2), (3,3)', (4,1)', (6,5)', (7,4)', (7,5)', (8,5)', (8,6)'). (a) [15 points] Apply PCA to determine the principal components. (b) [5 points] What is the variance of the data projected onto the first principal component? (c) [10 points] Find the representation of a data point (7,3)' using only the first principal component. What is the error (Euclidean distance) of this representation? We have the following the samples: {(2,1), (2,2), (3,2), (3,3)', (4,1)', (6,5)', (7,4)', (7,5)', (8,5)', (8,6)'). (a) [15 points] Apply PCA to determine the principal components. (b) [5 points] What is the variance of the data projected onto the first principal component? (c) [10 points] Find the representation of a data point (7,3)' using only the first principal component. What is the error (Euclidean distance) of this representation?