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Correlation and Prediction Error

Correlation and Prediction Error. The amount of prediction error is associated with the strength of the correlation between X and Y. Distribution of Prediction Error . Prediction error is the extent that an actual score deviates from the predicted score

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Correlation and Prediction Error

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  1. Correlation and Prediction Error • The amount of prediction error is associated with the strength of the correlation between X and Y

  2. Distribution of Prediction Error • Prediction error is the extent that an actual score deviates from the predicted score • Prediction error is normally distributed and has a standard deviation • The standard error of prediction (or standard error of the estimate) is the standard deviation for prediction error

  3. Formula for Standard Error of Prediction • Standard Error of Prediction is calculated with the following formula • The standard error of prediction is influenced by • The strength of the relationship between X and Y • The variability in Y

  4. Visual Depiction of Standard Error • Influence of correlation coefficient on standard error of prediction • Standard deviation of Y

  5. Confidence Intervals • The standard error of prediction can be used to calculate a confidence interval for Y’

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