长沙市居民娱乐消费与收入关系的数学模型及分析

运用调查统计、回归建模和数学分析等方法,研究了长沙居民收入与娱乐消费之间的定量关系,其中包括1区别于统计局发布的对长沙市居民消费分类,通过社会采访调查的方法分性别、年龄、收入差异等3个维度更准确地测算长沙市城镇居民娱乐消费的消费额.2基于调查数据,分别构建了不同年龄段、不同性别的居民娱乐消费与其收入之间的回归模型.3通过分析回归模型的性质,揭示了长沙市城镇居民娱乐消费的规律性.研究结果对政府部门的决策优化具有重要的启示作用.

Model and Analysis on the Relation between Income and Entertainment Consumption

By methods of questionnaire survey, regression analysis, mathematical modeling and analysis, we proceeded an in-depth study on the quantitative relationship between Changsha inhabitants'' income and the entertainment consumption. The obtained main results are as follows: (1) Different from the data released by the Changsha Bureau of Statistics on consumption classification, this paper obtained more accurate evaluation on the urban resident''s entertainment consumption expenditure in Changsha City, which is measured by 3 aspects: gender, age and income difference.(2) Based on the survey data, the regression models were constructed between the income and the resident''s entertainment consumption with regard to age and gender, respectively. (3) By analyzing the properties of regression models, some interesting principals were revealed which exist in the practical resident''s entertainment consumption of Changsha. The results in this paper play an important and helpful role in the optimal decision-making of the government departments in Changsha.