摘要
多元线性回归模型在社会、经济、技术以及众多自然科学研究领域中已被广泛使用,某个地区需水量应与该地区多种因素有关,故选取东北地区的GDP、水库蓄水总量、人均可支配收入、城市绿地面积和工业用水量等5个因素,借助MATLAB软件阐明了多元线性回归模型在东北地区需水量分析中的应用.并通过皮尔森相关性检验、拟合优度检验、F检验、t检验和残差分析的方法对模型进行优化,得到了准确可靠的多元线性回归模型,此模型具有拟合程度高、简易、直观等优势,为多元线性回归模型在需水量分析中的应用提供了有力参考.
Multiple linear regression has been widely used in society, economy, technology and science research. We take GDP in Northeast area, water storage, per capita disposable income, areas of grassland in city and water use in industry as factors to clarify uses of multiple linear regression model in the analysis of water use in Northeast. We also optimize our model by Pearson correlation test, test of goodness-of-fit, F test, t test and residual analysis. We got a reliable multiple linear regression model which is simply constructed, intuitive, and well fitted. The model provides a effective reference in the analysis of water requirement.
出处
《数学的实践与认识》
CSCD
北大核心
2014年第1期118-123,共6页
Mathematics in Practice and Theory
关键词
需水量
东北地区
多元线性回归
模型检验
water requirement
Northeast of China
multiple linear regression model
modeltesting
