河南经济与教育、科技相关性分析的数学模型

Mathematical Model for Correlative Analysis of Henan Economy,Education,Science and Technology

依据1998-2006年间河南高等教育、科技与经济所考查指标的统计数据．运用相关与回归分析方法分别建立以人均GDP为因变量的数学模型，并对模型进行了分析．这11个指标的因子分析结果，得出与人均GDP联系密切的指标主要有5个，以这5个指标为自变量对人均GDP进行逐步回归分析，所得回归方程达极显著水平，同时得出，对人均GDP影响的重要程度从高到低依次为：人均R＆D经费支出，以每万人口在校大学生数，每万名科技人员发表论文数，每万人口中科技活动人员数．并就各指标对人均GDP的影响给出了合理的解释．

In this paper, according to the statistic data of inspection factors of Henan higher education, science and technology, and economy during the period of 1998-2006, the mathematical model taking average per person GDP as dependent variables is set up byutilizing correlation and regression analysis repectively and analyzed. Factor analysis result of the 11 factors show that there were mainly 5 factors closely related to average per person GDP, and take the 5 factors as independent variables to carry out the regression of average per person GDP and get the regression formulas to reach extremely remarkable level, and in the mean time get the order that the five factors＇ important degree of influence on average per person GDP from high to low was average per person R＆D funds disbursement, number of students in the universities every ten thousand populations, number of paper published every ten thousand technical personnel, personnel number of technological activity of every ten thousand populations. Reasonable explanations were given to the influence of every factor to average per person GDP.