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Unbiased Least Squares Regression Coefficients for Multiple Linear Regression Mathematical Models

Published:22 November 2021Publication History

ABSTRACT

In the study of realistic problems, the change of the dependent variable is often affected by several important factors. At the same time, it is necessary to use two or more influencing factors as independent variables to explain the change of the dependent variable. This paper combines the mathematical model of multiple linear regression, and uses the least squares method to perform unbiased estimation of the regression coefficients. The theoretical equations and properties of the unbiased estimation are obtained, and the unbiasedness of the least square estimator of the multiple linear regression model is proved. The advantages of multiple linear regression models are discussed and analyzed.

References

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  1. Unbiased Least Squares Regression Coefficients for Multiple Linear Regression Mathematical Models

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      • Published in

        cover image ACM Other conferences
        ICISCAE 2021: 2021 4th International Conference on Information Systems and Computer Aided Education
        September 2021
        2972 pages
        ISBN:9781450390255
        DOI:10.1145/3482632

        Copyright © 2021 ACM

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        Association for Computing Machinery

        New York, NY, United States

        Publication History

        • Published: 22 November 2021

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