多自变量的交互作用对因变量的影响

Influence of interaction of multiple variables on dependent variables

在数学问题中,自变量和因变量的关系巧妙而复杂,掌握如何探究多个自变量对一个因变量的影响十分重要,亦是建立数学模型前必须要解决的问题.以2022年全国大学生数学建模竞赛C题为例,详细阐述了如何层层递进地研究多个自变量与一个因变量之间的关系.通过利用统计软件SPSS27.0,建立了二元logistic回归模型,得到了多个自变量对因变量影响的显著性结果,证实了自变量之间的交互作用对自变量与因变量间的关系有较大的影响.

In the mathematical problems,the relationship between the independent variables and the dependent variable is ingenious and complex.It is very important to master how to explore the influence of multiple independent variables on a dependent variable.And it is also a problem that must be solved before establishing a mathematical model.Taking the 2022 National Undergraduate Mathematical Modeling Contest C as an example,this paper expounded how to study the relationship between multiple independent variables and a dependent variable step by step.By using SPSS27.0 software,a binary logistic regression model was established,and several significant results of multiple independent variables on dependent variables were obtained.It confirmed that the interaction between independent variables had a great impact on the relationship between independent variables and dependent variables.