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Consider the same dataset as in Problem 1.
X1
X2
Y
3
5
1
4
0
2
1. We would now like to train a classification tree to the above dataset. Consider the split X1 = 2.5. Compute the weighted Gini Index of this split.
2. Suppose we change the split to X1 = 3.5. Provide an argument for why this split is better or worse.
3. Based on your judgment, introduce a split on X2 in addition to the previous split on X1 (either 2.5 or 3.5). Show that this split improves fit.
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The main theme of these questions is identifying the key external environmental factors impacting their fair/festivals; ask at least 5 to 7 questions.
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