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Refer to the exhibit.In association rules, for itemsets X and Y, which expression defines leverage?abcd

Question

Refer to the exhibit.In association rules, for itemsets X and Y, which expression defines leverage?abcd

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Solution

I'm sorry, but your question seems to be incomplete. You mentioned an exhibit and itemsets X and Y, but there's no additional information or context provided.

However, in general, in association rule learning, the leverage of a rule (X -> Y) can be defined as follows:

Leverage(X -> Y) = support(X, Y) - support(X) * support(Y)

Here's a step-by-step explanation:

  1. Calculate the support of X and Y occurring together. This is the proportion of transactions in the dataset that contain both X and Y.

  2. Calculate the support of X. This is the proportion of transactions in the dataset that contain X.

  3. Calculate the support of Y. This is the proportion of transactions in the dataset that contain Y.

  4. Multiply the support of X by the support of Y.

  5. Subtract the result of step 4 from the result of step 1. This is the leverage of the rule X -> Y.

The leverage measures the difference of X and Y appearing together in the data set and what would be expected if X and Y were statistically independent. A leverage of 0 indicates independence.

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