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Residuals and Confidence Intervals

The user has a choice of displaying one of two confidence intervals -- CLI and CLM.  The CLI option is often termed as the Interval Estimation Confidence Interval.  The CLM option is the mean estimation confidence interval.  Both the CLI and CLM options can be calculated at different significance levels by using the Options sub-menu.

The CLI Option

The interval estimation of the mean of Y (CLI) is the default.  CLI presents the confidence interval for the point estimate of Y (predicted value) given the current values of X (each of the independent variables).   The default confidence level is 95%, or an alpha of 0.05.  Interpret the confidence interval as follows:  On average, there is 95% confidence that the predicted value lies between the lower and upper computed confidence coefficients given the current values of the independent variables.  Stated differently, there is a 5% chance that the predicted value is outside the computed confidence limits, given the current values of the independent variables.

The CLM Option

Occasionally, one would like to predict the mean of m new observations on Y for a given level of X.  For this calculation, we assume that the actual value for Y is the mean of m individual values of Y.  The user has the ability to select different values of m by executing the solution command sequence: CLM is NOT currently available.


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