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Q2.a. The 48 observations in data set were portioned by 3 means clustering metho

ID: 3363115 • Letter: Q

Question

Q2.a. The 48 observations in data set were portioned by 3 means clustering method and the following information is available

1. The most homogeneous cluster is:

a. Cluster 1

b. Cluster 2

c. Cluster 3

2. The most heterogeneous cluster is:

a. Cluster 1

b. Cluster 2

c. Cluster 3

3. The most closest from each other clusters are:

a. Cluster 1 and 2

b. Cluster 1 and 3

c. Cluster 2 and 3

4. The most distinct from each other clusters are:

a. Cluster 1 and 2

b. Cluster 1 and 3

c. Cluster 2 and 3

Q2.b. The company that specializes in the development of software that tracks web browsing history of individuals. Using XL miner, the top association rule was found and the following information is available about this rule:

Confidence %

Antecedent (A)

Consequent (C)

Support for A

Spport for C

Spport for A and C

Lift Ratio

CNN

Weatherchannel

1693

1837

867

1. The confidence of the top rule is

a. 75.00%

b. 65.25%

c. 51.21%

d. 49.55%

2. Assuming that the total number of transactions is 20000, the lift ratio of the top rule is

a. 5.57

b. 22.30

c. 2.79

d. 1.64

Confidence %

Antecedent (A)

Consequent (C)

Support for A

Spport for C

Spport for A and C

Lift Ratio

CNN

Weatherchannel

1693

1837

867

Explanation / Answer

2a)

the confidence is the number of transactions where XUY appears divided by the number of transactions where X appears.

so 867/1693 = 0.5121 , hence C

2b)

The lift value of a rule is defined like this:

The lift of a rule X-->Y is calculated as lift(X-->Y) = ( (sup(X U Y)/ N) / (sup(X)/ N*sup(Y)/ N ), where

so putting the values we get

(867/20000)/(1693/ 20000*1837/ 20000 ) = 5.57 , hence A

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Please note that we can answer only 1 question at a time , also question 1 is incomplet. No data is given for Q1