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From my Statistics lectures I know the term confidence and prediction interval, whereas the confidence interval is smaller than the prediction interval. If I plot the mean and single prediction bands with the same confidence level in Mathematica, than the mean prediction band is smaller than the single prediction band interval.

Anyone who can explain me what are the differences between the “SinglePredictionBands” and “MeanPredictionBands” which are standard properties from NonlinearModelFit?
Or is it just a different terminology for confidence and prediction interval used by Mathematica? If no it would be useful if someone can tell me which properties I have to apply for the confidence and the prediction interval.

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1 Answer 1

  • SinglePredictionBands - confidence bands based on single observations
  • MeanPredictionBands - confidence bands for mean predictions

Directly from the help centre under the Details and Options submenu Link

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