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Unbiased Least Squares Regression Coefficients for Multiple Linear Regression Mathematical Models

Published: 22 November 2021 Publication 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.

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  • (2023)Construction of a mathematical modeling teaching quality assessment system for universities based on Eviews modelApplied Mathematics and Nonlinear Sciences10.2478/amns.2023.1.001069:1Online publication date: 28-Apr-2023

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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
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

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Published: 22 November 2021

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  • (2023)Construction of a mathematical modeling teaching quality assessment system for universities based on Eviews modelApplied Mathematics and Nonlinear Sciences10.2478/amns.2023.1.001069:1Online publication date: 28-Apr-2023

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