Problem 3. (18 points) Suppose there are 100 items, numbered 1 to 100, and also 100 baskets, also numbered 1 to 100. Item i is in basket bif and only if i divides b with no remainder. Thus, item 1 is in all the baskets, item 2 is in all fifty of the even-numbered baskets, and so on. Basket 12 consists of items {1,2,3,4,6,12}, since these are all the integers that divide 12. Answer the following questions: (a) If the support threshold is 5, which items are frequent? (b) If the support threshold is 5, which pairs of items are frequent? (c) which basket is the largest? (d) what are the confidence and interest of the following association rules? {5,7} 2 {2,3,4} 5 (e) Show all the association rules that have 100% confidence for this market-basket data. Problem 3. (18 points) Suppose there are 100 items, numbered 1 to 100, and also 100 baskets, also numbered 1 to 100. Item i is in basket bif and only if i divides b with no remainder. Thus, item 1 is in all the baskets, item 2 is in all fifty of the even-numbered baskets, and so on. Basket 12 consists of items {1,2,3,4,6,12}, since these are all the integers that divide 12. Answer the following questions: (a) If the support threshold is 5, which items are frequent? (b) If the support threshold is 5, which pairs of items are frequent? (c) which basket is the largest? (d) what are the confidence and interest of the following association rules? {5,7} 2 {2,3,4} 5 (e) Show all the association rules that have 100% confidence for this market-basket data