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Regression Function

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Regression Function

The equation of the least square fit line through the data, used to estimate values of the dependent variable (the Y axis) for given values of the independent variable (the X axis).

Note: Caution should be exercised in extrapolating the regression line beyond the region of the data.

knowctr00000067.gif

whereknowctr00090006.gifknowctr00090003.gif1 (the slope) and knowctr00090003.gif0 (the intercept) are calculated as follows:

knowctr00000068.gif

knowctr00000069.gif

knowctr00000070.gif

knowctr00000071.gif

where N is the total number of observations, x-doublebar and y-doublebar are the Averages of x and y, respectively, and knowctr00090004.gifx is the Sample Sigma of x.


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