Consider the weather data below. Use this data set as a training set to obtain a decision tree for the variable PLAY. Use entropy measures with Gini Index to find the variable that will be chosen to split the root of the tree. Show by calculations.

Outlook Play Temperature hot Humidity high Windy false NO hot high true NO hot YES high high normal false false mild cool YES false YES cool normal true NO sunny sunny overcast rainy rainy rainy overcast sunny sunny rainy sunny overcast cool normal true YES mild false NO high normal cool false YES YES mild normal false mild normal true YES mild true YES overcast hot high normal high false YES rainy mild true NO