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4 Nearest neighbor classifier (3P) Given a table from the student health database, we want to classify the student S10 in terms of overweight using

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4 Nearest neighbor classifier (3P) Given a table from the student health database, we want to classify the student S10 in terms of overweight using the k-NN classifier with k = 3 (Consider as a 3-dimensional feature space and use the Manhattan distance). (1) Find the decision set of $10. (Directly give the answer) (2) Use the weighted decision rule with a priori class probabilities as weight, what is the prediction? (Write intermediate steps) Student ID S1 S2 S3 S4 S5 S6 S7 S8 S9 S10 Age Sleep (hour/day) Sport (hour/day) Overweight 21 7 1 no 21 8 2 no 21 5 0 yes 24 10 2 no 23 8 2 no 20 7 1 yes 22 9 3 no 18 10 3 no 19 9 no 21 8 1 ? e co e NNN

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