decide whether a Hollywood studio should move forward with producing the screenplays), Can you prove why using the A celebrities number is best than the budget to split the data first? show the math please? And those are the formulas that we use in the picture below. Thanks

Choosing the best split

C5.0 uses entropy, a concept borrowed from information theory that quantifies the randomness, or disorder, within a set of class values.

Sets with high entropy are very diverse and provide little information about other items that may also belong in the set, as there is no apparent commonality.

The decision tree hopes to find splits that reduce entropy, ultimately increasing homogeneity within the groups.

To use entropy to determine the optimal feature to split upon, the algorithm calculates the change in homogeneity that would result from a split on each possible feature, which is a measure known as information gain.

The information gain for a feature F is calculated as the difference between the entropy in the segment before the split (S1) and the partitions resulting from the split (S2)

10-Chapter6-DecisionTrees.pdf the set Entropy(S) = -pi login) . Sets infor set, a . The a ultim . To use upon, that w is a me . The inf differer split (S1 InfoGain(F) Entropy (S1)-Entropy(S2) Entropy (S)- wi Entropy(P) O Type here to search 10-Chapter6-DecisionTrees.pdf the set Entropy(S) = -pi login) . Sets infor set, a . The a ultim . To use upon, that w is a me . The inf differer split (S1 InfoGain(F) Entropy (S1)-Entropy(S2) Entropy (S)- wi Entropy(P) O Type here to search