A study of the relationship between parents’ educational behavior and children’s psychological development based on linear regression models

The purpose of this paper is to investigate the linear relationship between parenting and children’s psychological development and to analyze the strength of the relationship between them by using linear regression models. A one-dimensional nonparametric regression model with matrices is employed to handle the linear relationship between parenting and children’s psychological development. Combining parameter estimation and great-likelihood estimation was used to determine the maximum parameter value for the sample relationship. To ensure that the parameters that affect parenting and children’s mental health development conform to the model, we used the expectation and variance of the parameter estimates. The results show that good and bad parenting behavior affects children’s mental health. Benign parenting has a contributing effect on children’s emotional influence; children’s perception of safety is 0.75, and more stable emotions and stability are 0.85. When children are well educated, children’s three perceptions are 0.65, and self-perception is 0.8.