Prediction of Annual Water-consumed Quantity Based on Coupling Model of Grey-system and Multiple Stepwise Regression
Sheng Huang
Abstract
Sheng Huang
Abstract
The coupling model of Grey-system and multiple stepwise regression was discussed and applied to the prediction of annual water-consumed quantity of Beijing.Firstly,using the method of correlation analysis and stepwise regression of grey system,the data sequences of Beijing from 1980 to 2001 were compared and selected to set up multiple stepwise regression formula.Then,the prediction value gained through GM(1,1) model was brought to the formula to get the future value of the total water quantity.The result showed that the water-consumed quantity per day,per person and industrial water-consumed quantity were the main influence factors for the change of total water quantity.It is feasible to apply the coupling model of grey-system and multiple stepwise regression for the prediction of total water quantity of the city.
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The coupling model of Grey-system and multiple stepwise regression was discussed and applied to the prediction of annual water-consumed quantity of Beijing.Firstly,using the method of correlation analysis and stepwise regression of grey system,the data sequences of Beijing from 1980 to 2001 were compared and selected to set up multiple stepwise regression formula.Then,the prediction value gained through GM(1,1) model was brought to the formula to get the future value of the total water quantity.The result showed that the water-consumed quantity per day,per person and industrial water-consumed quantity were the main influence factors for the change of total water quantity.It is feasible to apply the coupling model of grey-system and multiple stepwise regression for the prediction of total water quantity of the city.
Key concepts: Stepwise regression, Beijing, Statistics, Regression analysis, Mathematics, Linear regression, Regression, Value (mathematics)