What does the ROC curve represent in classification problems?

Practice Questions

Q1
What does the ROC curve represent in classification problems?
  1. The relationship between precision and recall
  2. The trade-off between true positive rate and false positive rate
  3. The accuracy of the model over different thresholds
  4. The distribution of predicted probabilities

Questions & Step-by-Step Solutions

What does the ROC curve represent in classification problems?
  • Step 1: Understand that a classification problem involves predicting categories, like 'yes' or 'no'.
  • Step 2: Know that we can adjust a 'threshold' to decide how we classify something as 'yes' or 'no'.
  • Step 3: The true positive rate (sensitivity) is the percentage of actual 'yes' cases that we correctly identify as 'yes'.
  • Step 4: The false positive rate is the percentage of actual 'no' cases that we incorrectly identify as 'yes'.
  • Step 5: The ROC curve is a graph that shows how the true positive rate and false positive rate change as we adjust the threshold.
  • Step 6: A good model will have a high true positive rate and a low false positive rate, which means it will be closer to the top left corner of the ROC curve.
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