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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Wiley
2019-01-01
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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. |
format | Article |
id | doaj-art-64122504ce0a4bbba4db9c70e542d3c2 |
institution | Kabale University |
issn | 2314-8896 2314-8888 |
language | English |
publishDate | 2019-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Function Spaces |
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 |