Consider query Q that has a total of 6 relevant results in the collection, and a search engine that returns results: r r x x x r x x r, where x is a relevant result and r is not relevant.1. Compute Precision-at-5, Recall-at-5, F1-at-5, Average Precision, and DCG-at-5 (assuming relevant results have a score of 1 and non-relevant have a score of 0).2. Mention an application where higher precision is more important than higher recall and one for the opposite.
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