Playing chess – analysis with a decision tree

Let's take an example from Chapter 2, Naive Bayes, again:

Temperature	Wind	Sunshine	Play
Cold	Strong	Cloudy	No
Cold	Strong	Cloudy	No
Warm	None	Sunny	Yes
Hot	None	Sunny	No
Hot	Breeze	Cloudy	Yes
Warm	Breeze	Sunny	Yes
Cold	Breeze	Cloudy	No
Cold	None	Sunny	Yes
Hot	Strong	Cloudy	Yes
Warm	None	Cloudy	Yes
Warm	Strong	Sunny	?

We would like to find out whether our friend would like to play chess with us in the park. But this time, we would like to use decision trees to find the answer.

Analysis

We have the initial set, S, of the data samples, as follows...