ou are evaluating a binary classifier. There are 50 positive outcomes in the test data, and 100 observations. Using a 50% threshold, the classifier predicts 40 positive outcomes, of which 10 are incorrect.What is the classifier’s Precision on the test sample?1 point25%60%75%80%
Question
ou are evaluating a binary classifier. There are 50 positive outcomes in the test data, and 100 observations. Using a 50% threshold, the classifier predicts 40 positive outcomes, of which 10 are incorrect.What is the classifier’s Precision on the test sample?1 point25%60%75%80%
Solution
To calculate the precision of a classifier, we use the formula:
Precision = True Positives / (True Positives + False Positives)
In this case, the classifier predicts 40 positive outcomes, but 10 of these are incorrect. So, the True Positives are 40 - 10 = 30, and the False Positives are 10.
Therefore, the precision is:
Precision = 30 / (30 + 10) = 30 / 40 = 0.75 or 75%
So, the classifier's Precision on the test sample is 75%.
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