A study over the Formulation of the Parameters 5 or Less Independent Variables of Multiple Linear Regression

As is known, finding the parameters of multiple linear regression is an important case. Of course, these parameters can be easily found with the help of the computer. In this study, in addition to the formula of the parameters of linear regression, the general formulas of the parameters of 5 and les...

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Main Author: Mehmet Korkmaz
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2019/1526920
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author Mehmet Korkmaz
author_facet Mehmet Korkmaz
author_sort Mehmet Korkmaz
collection DOAJ
description As is known, finding the parameters of multiple linear regression is an important case. Of course, these parameters can be easily found with the help of the computer. In this study, in addition to the formula of the parameters of linear regression, the general formulas of the parameters of 5 and less independent variables of multiple linear regression are given with a certain order. The derivations of the formulas presented are given step by step. In addition to classical matrix form, these new formulas for estimation of the parameters of multiple linear regression could be proposed especially to the researchers not using computer program for calculating the complex operations. By using these formulas, the researcher can estimate easily the parameters of multiple linear regression without using a computer and so the researcher can compose easily the table of variance analysis to interpret the regression made. Since for 6 and more independent variables, the tables of the parameters of multiple linear regression are too long and they take up too much space, the general formulas of the parameters of 6 and more independent variables of multiple linear regression could not be given in this study.
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spelling doaj-art-64122504ce0a4bbba4db9c70e542d3c22025-02-03T07:23:52ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/15269201526920A study over the Formulation of the Parameters 5 or Less Independent Variables of Multiple Linear RegressionMehmet Korkmaz0Department of Mathematics, Ordu University, Ordu 52200, TurkeyAs is known, finding the parameters of multiple linear regression is an important case. Of course, these parameters can be easily found with the help of the computer. In this study, in addition to the formula of the parameters of linear regression, the general formulas of the parameters of 5 and less independent variables of multiple linear regression are given with a certain order. The derivations of the formulas presented are given step by step. In addition to classical matrix form, these new formulas for estimation of the parameters of multiple linear regression could be proposed especially to the researchers not using computer program for calculating the complex operations. By using these formulas, the researcher can estimate easily the parameters of multiple linear regression without using a computer and so the researcher can compose easily the table of variance analysis to interpret the regression made. Since for 6 and more independent variables, the tables of the parameters of multiple linear regression are too long and they take up too much space, the general formulas of the parameters of 6 and more independent variables of multiple linear regression could not be given in this study.http://dx.doi.org/10.1155/2019/1526920
spellingShingle Mehmet Korkmaz
A study over the Formulation of the Parameters 5 or Less Independent Variables of Multiple Linear Regression
Journal of Function Spaces
title A study over the Formulation of the Parameters 5 or Less Independent Variables of Multiple Linear Regression
title_full A study over the Formulation of the Parameters 5 or Less Independent Variables of Multiple Linear Regression
title_fullStr A study over the Formulation of the Parameters 5 or Less Independent Variables of Multiple Linear Regression
title_full_unstemmed A study over the Formulation of the Parameters 5 or Less Independent Variables of Multiple Linear Regression
title_short A study over the Formulation of the Parameters 5 or Less Independent Variables of Multiple Linear Regression
title_sort study over the formulation of the parameters 5 or less independent variables of multiple linear regression
url http://dx.doi.org/10.1155/2019/1526920
work_keys_str_mv AT mehmetkorkmaz astudyovertheformulationoftheparameters5orlessindependentvariablesofmultiplelinearregression
AT mehmetkorkmaz studyovertheformulationoftheparameters5orlessindependentvariablesofmultiplelinearregression