Problem 6 (22 points) Information Gain and Split Plans Consi…

Problem 6 (22 points) Information Gain and Split Plans Consider the following data set for a binary class problem.  Illustrate your work/math to calculate the classification error rate when splitting on A and B. Which attribute would the decision tree induction algorithm choose? The definition of misclassification error is:  1) (5 Points) The overall misclassification error before splitting: 2) (5 Points) The gain in misclassification error after splitting on A: 3) (5 Points) The gain in misclassification error after splitting on B: 4) (3 Points) Which attribute would the decision tree choose: 5) (4 Points) There are three impurity measurements: entropy, misclassification error, and Gini index. Which one is the best for measuring impurity, and why?

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