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FRM Part I · FRM Exam Part I · Machine-Learning Methods

A default classifier is tested on 200 loans. Results: 30 true positives, 10 false positives, 20 false negatives, and 140 true negatives. What are the model's precision and recall for the default class?

Precision is 0.750 and recall is 0.600. Precision is true positives over all predicted defaults, 30/(30+10), while recall is true positives over all actual defaults, 30/(30+20). The two are different denominators and should not be swapped.

  1. APrecision 0.750; recall 0.600Correct
  2. BPrecision 0.600; recall 0.750
  3. CPrecision 0.750; recall 0.900
  4. DPrecision 0.857; recall 0.600

Explanation

Precision = TP/(TP+FP) = 30/40 = 0.75. Recall = TP/(TP+FN) = 30/50 = 0.60. Swapping the two gives option 2; 0.857 is specificity-like (140/150 is 0.933) or other misuse and is incorrect.

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