A card issuer tests three fraud models on the same 8,000 transactions, of which 40 are fraud.
| model | what it did | accuracy |
|---|---|---|
| Quiet | flagged nothing at all | |
| Careful | flagged 6 transactions, 4 of them fraud | |
| Keen | flagged 150 transactions, 32 of them fraud |
As the Choosing the Right Metric lesson warned, accuracy is easy to fool when one class is rare. So the team ranks the models by the Matthews correlation coefficient (MCC), a single score that uses all four cells of the confusion matrix, with fraud as the Positive class:
MCC runs from (every call wrong) through (the predictions tell you nothing about the truth) to (every call right). If any of the four totals under the square root is , MCC is defined as .
What is the MCC of the model that ranks first? Round your answer to 3 decimal places.