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This talk shows how to construct confidence bands for the
difference between two simple linear regression lines. These
confidence bands can be used as a formal test of the difference
between the two regression lines over an interval of interest, as
well as providing an indication of the magnitude of the difference
between the regression lines. Various different shapes of
confidence bands are illustrated, and particular attention is paid
towards confidence bands whose construction only involves critical
points from standard distributions so that they are consequently
easy to construct.