Estimation of Linear Regression with the Dimensional Analysis Method

Autor: Luis Pérez-Domínguez, Harish Garg, David Luviano-Cruz, Jorge Luis García Alcaraz
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Mathematics, Vol 10, Iss 10, p 1645 (2022)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math10101645
Popis: Dimensional Analysis (DA) is a mathematical method that manipulates the data to be analyzed in a homogenized manner. Likewise, linear regression is a potent method for analyzing data in diverse fields. At the same time, data visualization has gained attention in tendency study. In addition, linear regression is an important topic to address predictive models and patterns in data study. However, it is still pending to attack the manipulation of uncertainty related to the data transformation. In this sense, this work presents a new contribution with linear regression, combining the Dimensional Analysis (DA) to address instability and error issues. In addition, our method provides a second contribution related to including the decision maker’s attitude involved in the study. Therefore, the experimentation shows that DA manipulates the regression problem under a complex situation that the outcome may have in the investigation. A real-life case study is used to demonstrate our proposal.
Databáze: Directory of Open Access Journals
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