You 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 Recall on the test sample?1 point25%60%75%80%
Question
You 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 Recall on the test sample?1 point25%60%75%80%
Solution
To calculate the recall of a classifier, we use the formula:
Recall = True Positives / (True Positives + False Negatives)
In this case, the True Positives are the correctly predicted positive outcomes. From the question, we know that the classifier predicted 40 positive outcomes, of which 10 are incorrect. So, the True Positives are 40 - 10 = 30.
The False Negatives are the actual positive outcomes that the classifier incorrectly predicted as negative. We know that there are 50 actual positive outcomes in the test data, and since the classifier correctly predicted 30 of them, it incorrectly predicted 50 - 30 = 20 as negative.
So, the recall is:
Recall = 30 / (30 + 20) = 30 / 50 = 0.6 = 60%
So, the classifier's Recall on the test sample is 60%.
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write me a problem statement with answer on evaluation recall rate
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