Following Samples 2 1 2 2 3 2 3 3 4 1 6 5 7 4 7 5 8 5 8 6 15 Points Apply Pca Determine P Q43823422
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? Show transcribed image text 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?
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Answer to 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) (…
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