A grocery store introducing items from Italy is interested in analyzing buying t

Question

A grocery store introducing items from Italy is interested in analyzing buying trends of these new “international” items, namely prosciutto, peroni, risotto, and gelato A. Using a minimum support of 100 transactions and a minimum confidence of 50%, use XLMiner to generate a list of association rules. How many rules satisfy this criterion? (1 point) B. Using a minimum support of 250 transactions and a minimum confidence of 50%, use XLMiner to generate a list of association rules. How many rules satisfy this criterion? Why may the grocery store want to increase the minimum support required for their analysis? What is the risk of increasing the minimum support required? (2 points) C. Using the list of rules from part b, consider the rule with the largest lift ratio that involves an Italian item. Interpret what this rule is saying about the relationship between the antecedent item set and consequent item set. Interpret the support count of the item set involved in the rule with the largest lift ratio that involves an Italian item. Interpret the confidence of the rule with the largest lift ratio that involves an Italian item. (1 point) D. By examining the dendrogram on the HC_Dendrogram worksheet and the sequence of clustering stages in HC_Output, what number of clusters seems to be the most natural fit based on the distance? What is the increase in distance if 7 clusters were used instead of 8 clusters? (1 point

Explanation / Answer

Rolling a single die

1) probability of rolling divisors of 6 :

Since its a single die, the possible outcomes are 1,2,3,4,5,6. All have equal probability(1/6) since its a fair die

Out of these divisors of 6 are 1,2,3,6. So P(divisors of 6) = 1/6*1/6*1/6*1/6 = 1/1296 = 0.0008

2) probability of rolling a multiple of 1: Since all(1,2,3,4,5,6) are multiples of 6 = 1/6*1/6*1/6*1/6*1/6*1/6= 1/46656 = 0.00002

3) probability of rolling an even number : There are 3 even numbers between 1-6 i.e. 2,4,6

Hence probability of rolling an even number = 1/6*1/6*1/6 = 1/216 =0.0046

4) List of all possible outcomes of rolling a single die ={1,2,3,4,5,6}

5) probability of rolling factors of 3 : Factors of 3 are 1,3

Hence probability of rolling factors of 3 = 1/6*1/6 = 1/36 = 0.0278

6) probability of rolling a 3 or smaller : 3 or smaller are 1,2,3. Hence the probability = 1/6*1/6*1/6 = 1/216 = 0.0046

7) probability of rolling a prime number: Prime numbers between 1-6 are 2,3,5 hence probability = 1/6*1/6*1/6=1/216=0.0046

8) probability of rolling factors of 4 : Factors of 4 are 1,2,4 hence the probability = 1/6*1/6*1/6 = 1/216 =0.0046

9) probability of rolling divisors of 30 : Divisors of 30 are 1,2,3,5,6 = 1/6*1/6*1/6*1/6*1/6 = 1/7776 = 0.0001

10) probability of rolling factors of 24: Factors of 24 are 1,2,3,4,6 = 1/6*1/6*1/6*1/6*1/6=1/7776=0.0001

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