Applied Statistics for Social and Management Sciences by Abdul Quader Miah

Author:Abdul Quader Miah
Language: eng
Format: epub
Publisher: Springer Singapore, Singapore

11.5 Coefficient of Determination

The coefficient of determination is used to measure the adequacy of the regression model. It is defined by

Its value lies between zero and one, i.e.,

R 2 refers to the variability in the data explained by the regression model. In the previous example, R 2 = SSR/SST = 19.51/20.14 = 0.9687. This means 96.87 % of the variability in the data is accounted for by the regression model.

If more and more terms are added to the regression model, R 2 will generally increase. But this does not always mean that the model fit is better with the additional terms. The fit will be better if the mean square error is reduced. This implies larger values of F 0.

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