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Confidence
Limits for Regression Function
Confidence limits can be
defined for the Regression Function as follows:
where:
- N is the total
number of observations
- x-doublebar is
the Average of the x values
- Sxx is the Sum
of Squares of x
- MSE is the Mean
Square of the Residuals
- x0 is any possible
value of x
- y0 is the predicted
value of y at x0 (based on linear regression equation)
- t
 /2,N-2
= value of the student's t-distribution for a 100(1-)
percent of confidence interval with N-2 degree of freedom (Hines and
Montgomery, 1980).
Note: The Confidence
Limit at any value of yo, the predicted y, defines the location of the regression
line. It does not indicate whether specific observations are well modelled
by the line.
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