Binary Fitted Line Plot

Residual Plots - Normal Probability Plot of the Residuals

  

This graph plots the residuals versus their expected values when the distribution is normal. The normal probability plot of the residuals should roughly follow a straight line. Use this plot to look for the following:

This pattern...

Indicates...

Not a straight line

Nonnormality

Curve in the tails

Skewness

A point far away from the line

An outlier

Changing slope

An unidentified variable

If your data have fewer than 50 observations, the plot may display curvature in the tails even if the residuals are normally distributed. As the number of observations decreases, the probability plot may show even greater variation and nonlinearity. Use the normal probability plot and goodness-of-fit tests to assess the normality of residuals in small data sets.

Example Output

Interpretation

For the health care center data, the residuals have two groups that do not follow the line. This pattern often means not enough data is in the set for normal approximation theory to apply. Confidence intervals for predictions are probably inaccurate.

Observation 58 has a standardized residual greater than 2.