Author(s)

Aiwu Zhang

School of Mathematical Science, Yancheng Teachers University, Yancheng, China.

This paper transforms fuzzy number into clear number using the centroid method, thus we can research the traditional linear regression model which is transformed from the fuzzy linear regression model. The model’s input and output are fuzzy numbers, and the regression coefficients are clear numbers. This paper considers the parameter estimation and impact analysis based on data deletion. Through the study of example and comparison with other models, it can be concluded that the model in this paper is applied easily and better.

Centroid Method, Fuzzy Linear Regression Model, Parameter Estimation, Data Deletion Model, Cook Distance

Zhang, A. (2016) Statistical Analysis of Fuzzy Linear Regression Model Based on Centroid Method. Applied Mathematics, 7, 579-586. doi: 10.4236/am.2016.77053.