What is the support count of {bagel, coffee, jam} ?

Question

What is the support count of {bagel, coffee, jam} ?

BlackTom AI · Accepted Answer

Question restatement: What is the support count of {bagel, coffee, jam}?

Option 1: '3' — This option says the support count is 3. Interpreting support count as the number of transactions that contain all items in the itemset {bagel, coffee, jam}, this would mean exactly three transactions include all three items together. If the dataset you’re using has three such transactions, this option is consistent with that definition.

Option 2: '0.5' — A value of 0.5 would suggest a fractional support count, which is not standard. Support is typically expressed as a count of transactions or as a proportion (support) relative to the total number of transactions, not as a raw fractional count. If you encounter 0.5, it might be a misinterpretation or a mistaken reporting of the support proportion rather than the count.

Option 3: '5' — This asserts that five transactions contain all three items together. If your dataset indeed has five transactions that include bagel, coffee, and jam simultaneously, this would be the correct count. However, that would differ from the option that lists 3, so it depends entirely on the underlying data.

Option 4: 'None of the above' — Selecting this would imply that neither a count of 3, 0.5, nor 5 is correct for the support count. This would be chosen only if the actual count were something other than 3, 0.5, or 5, including a possible count that isn’t represented among the options.

Option 5: '1.5' — Similar to 0.5, this is a fractional value and does not align with the standard notion of a raw support count. If someone intended to express a proportion, 1.5 would still not be valid, since proportions range from 0 to 1.

Synthesis: The concept of support count requires counting transactions that include all items in the specified itemset. If your data yields exactly three transactions containing bagel, coffee, and jam together, then the count 3 is consistent with that definition. If the dataset instead has a different number of such transactions (for example five), option 3 would be the correct count. Values like 0.5 or 1.5 represent fractions and are more appropriate for support as a proportion relative to the total number of transactions, not for the raw count. 'None of the above' would be appropriate only if none of the provided numeric options matches the actual data-derived count.

BA 3551 (002 & 003) Quiz 1 - Honorlock

What is the support count of {bagel, coffee, jam} ?

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