(a) Sketch the tree corresponding to the CART partition given below The word in each box indicates the class label for that region X2 1 0 Cat Dog Sheep Cat Rabbit 3 4 6 X (b) Create a diagram similar to that given in part (a) using the CART tree below Indicate the class label in each region of the partitioned feature space X1 1 X2 0 Apple Pear X2 1 X2 2 X1 2 Banana Orange Grapes Apple (c) The predictive performance of a single tree can be substantially improved by aggregating many decision trees i Briefly explain the random forest method for classification ii Should pruned or un pruned trees be used in random forests Explain iii Briefly explain the of out of bag error rate for random forests (d) Briefly explain how K fold cross validation can be used to approximate a test ing error rate Describe one advantage of cross validation over the validation set approach

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Question: (a) Sketch the tree corresponding to the CART partition given below. The word in each box indicates the class label for that region. X2

(a) Sketch the tree corresponding to the CART partition given below. The

(a) Sketch the tree corresponding to the CART partition given below. The word in each box indicates the class label for that region. X2 1 0 Cat Dog Sheep Cat Rabbit 3 4 6 X (b) Create a diagram similar to that given in part (a) using the CART tree below. Indicate the class label in each region of the partitioned feature space. X1

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