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How do you read a Q-Q plot?

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Answer

  • Q-Q (quantile-quantile) plot: plot empirical quantiles vs theoretical quantiles (typically normal).
  • Perfect fit → points on the y=x line.
  • Deviations reveal distribution shape: (1) S-shape → heavier or lighter tails than normal; (2) curved → skew; (3) points off at the ends → outliers.
  • Fast visual check for normality / distributional fit before running parametric tests.
  • Complement with Shapiro-Wilk / Kolmogorov-Smirnov for formal tests.
Check yourself — multiple choice
  • Same as histogram
  • Empirical quantiles vs theoretical; on-line → fit; S/curve → tails/skew; ends deviate → outliers
  • Only for classification
  • Requires bins

Q-Q plot: empirical vs theoretical quantiles; deviations reveal shape.

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Practise Statistics Fundamentals

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