The decision of going skiing depends on three features: snow, weather, and season. All variables are binary: Skiing (yes or no), Snow (fresh or frosted), Weather (windy or sunny), Season (low or high). The following table shows a data set that contains 10 data points

Now what you need to do is to carry out the first split for growing a decision tree model.

Note: Your calculation will be stopped at the point you figure out which variable, Snow , Weather , or Season , you decide to use as the root node. You must write out all the intermediate steps.

No. 1 2 3 4 5 6 Snow fresh fresh frosted fresh fresh frosted 7 frosted 8 fresh fresh frosted 9 10 Weather sunny sunny windy windy windy windy sunny sunny windy sunny Season low high high high low low high high high low Skiing yes yes no no yes no yes yes yes no