In a survey, the following data was collected. □ Among 5000 teenagers who wear jeans, o 3000 play on-line games o 3750 eat chips o 2000 both play on-line games and eat chips □ Among another 5000 teenagers who do not wear jeans, o 3000 play on-line games o 4000 eat chips o 2250 both play on-line games and eat chips a) List ALL strong association rules having the form {item1, item2=>eat chips} with support=>20% and confidence=>50%.
Question
In a survey, the following data was collected. □ Among 5000 teenagers who wear jeans, o 3000 play on-line games o 3750 eat chips o 2000 both play on-line games and eat chips □ Among another 5000 teenagers who do not wear jeans, o 3000 play on-line games o 4000 eat chips o 2250 both play on-line games and eat chips a) List ALL strong association rules having the form {item1, item2=>eat chips} with support=>20% and confidence=>50%.
Solution
To find the strong association rules, we first need to understand the terms 'support' and 'confidence'.
Support is the percentage of the total number of transactions in which the items appear together.
Confidence is the percentage of times that the rule has been found to be true.
Now, let's calculate the support and confidence for each rule:
- {Wear Jeans, Play Online Games => Eat Chips}
Support = (Number of teenagers who wear jeans, play online games and eat chips / Total number of teenagers) * 100% = (2000 / 10000) * 100% = 20%
Confidence = (Number of teenagers who wear jeans, play online games and eat chips / Number of teenagers who wear jeans and play online games) * 100% = (2000 / 3000) * 100% = 66.67%
- {Do not Wear Jeans, Play Online Games => Eat Chips}
Support = (Number of teenagers who do not wear jeans, play online games and eat chips / Total number of teenagers) * 100% = (2250 / 10000) * 100% = 22.5%
Confidence = (Number of teenagers who do not wear jeans, play online games and eat chips / Number of teenagers who do not wear jeans and play online games) * 100% = (2250 / 3000) * 100% = 75%
Both rules have support greater than 20% and confidence greater than 50%, so they are both strong association rules.
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