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A00-240 · Question #11

The plots represent two models. A and B, being fit to the same two data sets, training and validation. Model A is 90.5% accurate at distinguishing blue from red on the training data and 75.5% accurate

The correct answer is D. Model B. It is simpler with a higher accuracy than model A on validation data.. Model B should be selected because it generalizes better to unseen data - the true goal of any classification model. Its validation accuracy (78.3%) exceeds Model A's (75.5%), and its smaller gap between training and validation accuracy (4.7 percentage points vs. 15 percentage po

Logistic Regression

Question

The plots represent two models. A and B, being fit to the same two data sets, training and validation. Model A is 90.5% accurate at distinguishing blue from red on the training data and 75.5% accurate at doing the same on validation data. Model B is 83% accurate at distinguishing blue from red on the training data and 78.3% accurate at doing the same on the validation data. Which of the two models should be selected and why?

Options

  • AModel A. It is more complex with a higher accuracy than model B on training data.
  • BModel A. It performs better on the boundary for the training data.
  • CModel B. It is more complex with a higher accuracy than model A on validation data.
  • DModel B. It is simpler with a higher accuracy than model A on validation data.

How the community answered

(36 responses)
  • A
    6% (2)
  • B
    25% (9)
  • C
    17% (6)
  • D
    53% (19)

Explanation

Model B should be selected because it generalizes better to unseen data - the true goal of any classification model. Its validation accuracy (78.3%) exceeds Model A's (75.5%), and its smaller gap between training and validation accuracy (4.7 percentage points vs. 15 percentage points for Model A) indicates that Model A is overfitting: it memorized the training data rather than learning generalizable patterns.

Why the distractors are wrong:

  • A is wrong because higher training accuracy alone is not a reason to select a model - overfitting produces high training accuracy but poor real-world performance.
  • B is wrong for the same reason; performing well on the training boundary is a symptom of overfitting, not a virtue.
  • C is wrong because Model B is the simpler model (lower training accuracy, smaller overfit gap), not the more complex one - complexity and validation accuracy are conflated here.

Memory tip: Think of training accuracy as a student's performance on practice problems they've already seen, and validation accuracy as performance on the real exam. A student who aced practice but struggles on the real test has overfitted - and you wouldn't trust that student over one with more consistent scores across both.

Topics

#overfitting#model selection#generalization#validation performance

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