Question

1. Given that 172 of 649 transactions included {bread, peanut butter, jelly}, what is the support of IF {bread, peanut butter} THEN {jelly}? Please round your answer to 2 decimal places.

2. Given that 116 of 1500 transactions included {bread, peanut butter, jelly} and 724 included {bread, peanut butter}, what is the confidence of IF {bread, peanut butter} THEN {jelly}? Please round your answer to 2 decimal places.

3. Out of 511 transactions, 177 included {bread, peanut butter, jelly}, 418 included {bread, peanut butter}, and 163 included {jelly}, what is the lift of IF {bread, peanut butter} THEN {jelly}? Please round your answer to 2 decimal places.

Answer 1

1.

Support =

Transactions of {bread, peanutbutter, Jelly}/Total transactions

= 172/649

= 0.26

2.

Confidence =

Transactions of {bread, peanutbutter, jelly}/ Transaction of {bread, peanutbutter}

=116/724

= 0.16

3.

Let Total transaction be T

Let transaction of {bread, peanut butter, jelly} = A + B

Transaction of {bread, peanut butter} = A

Transaction of {jelly} = B

So, the lift is given by

[(A + B)/A]/[B/T]

Substituting the values we get

[177/418]/[163/511]

= 1.33

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