Idegree 2clegree 3degree 4degree 5clegree &leg ree 7degree degree of polynomial

Fig.16 the root mean square error for the regression method with variable degrees

4. CONCLUSIONS

In this study, two theorems for analyzing the relational equations are given. After an analysis, a new scheme is proposed. Models embedded this new scheme are implemented. And the model is called high-order. In order to find the effect of this new ^scheme, forecasting enrollments and forecasting population are carried out. The proposed model keeps the simplicity while improves the forecasting accuracy significantly. Due to the root mean square errors of the proposed high-order model is smaller than that of the other approaches. In this ^work, the efficiency, accuracy and robustness of the new scheme have been tested.

372

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