Quick Question
Suppose that you have the following CART tree:
How many splits are in this tree?
Exercise 1
Numerical Response
For which data observations should we predict “Red”, according to this tree? Select all that apply.
Exercise 2
If X is less than 60, and Y is any value.
If X is greater than or equal to 60, and Y is greater than or equal to 20.
If X is greater than or equal to 85, and Y is less than 20.
If X is greater than or equal to 60 and less than 85, and Y is less than 20.
Explanation
This tree has three splits. The first split says to predict “Red” if X is less than 60, regardless of the value of Y. Otherwise, we move to the second split. The second split says to check the value of Y - if it is greater than or equal to 20, predict “Gray”. Otherwise, we move to the third split. This split checks the value of X again. If X is less than 85 (and greater than or equal to 60 by the first split) and Y is less than 20, then we predict “Red”. Otherwise, we predict “Gray”.
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