The following contingency table summarizes supermarket transaction data, where hot dogs refers to the transactions containing hot dogs, hot dogs refers to the transactions that do not contain hot dogs, hamburgers refers to the transactions containing hamburgers, and hamburgers refers to the transactions that do not contain hamburgers.
(a) Suppose that the association rule "hot dogs ⇒ hamburgers" is mined. Given a minimum support threshold of 25% and a minimum confidence threshold of 50%, is this association rule strong?
(b) Based on the given data, is the purchase of hot dogs independent of the purchase of hamburgers? If not, what kind of correlation relationship exists between the two?
(c) Compare the use of the all confidence, max confidence, Kulczynski, and cosine measures with lift and correlation on the given data.