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

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Presentation on theme: "Correlation and Prediction Error The amount of prediction error is associated with the strength of the correlation between X and Y."— Presentation transcript:

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

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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