True or false: In a decision tree, a variable can appear on multiple branches.

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Multiple Choice

True or false: In a decision tree, a variable can appear on multiple branches.

Explanation:
In a decision tree, splits are determined for each subset of the data at every node. Because those subsets can be quite different from one another, the same feature can be a good choice in more than one place in the tree. For example, you might split on age at the root, then on a branch you might split on income, while on another branch you could split on age again but with a different threshold. This local, subset-specific decision-making allows a variable to appear on multiple branches. So the statement is true.

In a decision tree, splits are determined for each subset of the data at every node. Because those subsets can be quite different from one another, the same feature can be a good choice in more than one place in the tree. For example, you might split on age at the root, then on a branch you might split on income, while on another branch you could split on age again but with a different threshold. This local, subset-specific decision-making allows a variable to appear on multiple branches. So the statement is true.

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