Comparison of Conjugate Gradient methods for developing the multiple linear regression model for rubber yield in Malaysia / Anis Shahida Rohimi Ozeman

Regression analysis is known as a statistical technique for estimating the relationship between variables which have reason and result relation. In this research, regression models with one dependent variable and more than one independent's variable called multiple linear regression (MLR) is be...

Full description

Saved in:
Bibliographic Details
Main Author: Rohimi Ozeman, Anis Shahida
Format: Thesis
Language:English
Published: 2018
Subjects:
Online Access:https://ir.uitm.edu.my/id/eprint/39997/1/39997.pdf
Tags: Add Tag
No Tags, Be the first to tag this record!
id my-uitm-ir.39997
record_format uketd_dc
spelling my-uitm-ir.399972024-07-01T07:21:06Z Comparison of Conjugate Gradient methods for developing the multiple linear regression model for rubber yield in Malaysia / Anis Shahida Rohimi Ozeman 2018-07 Rohimi Ozeman, Anis Shahida Mathematical statistics. Probabilities Analysis Algorithms Regression analysis is known as a statistical technique for estimating the relationship between variables which have reason and result relation. In this research, regression models with one dependent variable and more than one independent's variable called multiple linear regression (MLR) is been used to produce a regression model for rubber yield in Malaysia. Meanwhile, Conjugate Gradient (CG) method is used to solve regression parameter through the normal equation since it is a well-known method due to the simplicity, easiness and low memory requirement. The selected CG formulas are from classical CG which is Fletcher-Reeves (FR), Polak-Ribiere-Polyak (PRP), Hestenes-Stiefel (HS), and Rivaie et al. (RMIL). Then, the result from MLR, selected variants of CG method and inverse matrix method will be compared. Based on the result, beta coefficient of CG-FR proved to be best method to produce the best regression model with the least root mean square error value. 2018-07 Thesis https://ir.uitm.edu.my/id/eprint/39997/ https://ir.uitm.edu.my/id/eprint/39997/1/39997.pdf text en public degree Universiti Teknologi MARA Faculty of Computer and Mathematical Sciences Norddin, Nur Idalisa
institution Universiti Teknologi MARA
collection UiTM Institutional Repository
language English
advisor Norddin, Nur Idalisa
topic Mathematical statistics
Probabilities
Analysis
Algorithms
spellingShingle Mathematical statistics
Probabilities
Analysis
Algorithms
Rohimi Ozeman, Anis Shahida
Comparison of Conjugate Gradient methods for developing the multiple linear regression model for rubber yield in Malaysia / Anis Shahida Rohimi Ozeman
description Regression analysis is known as a statistical technique for estimating the relationship between variables which have reason and result relation. In this research, regression models with one dependent variable and more than one independent's variable called multiple linear regression (MLR) is been used to produce a regression model for rubber yield in Malaysia. Meanwhile, Conjugate Gradient (CG) method is used to solve regression parameter through the normal equation since it is a well-known method due to the simplicity, easiness and low memory requirement. The selected CG formulas are from classical CG which is Fletcher-Reeves (FR), Polak-Ribiere-Polyak (PRP), Hestenes-Stiefel (HS), and Rivaie et al. (RMIL). Then, the result from MLR, selected variants of CG method and inverse matrix method will be compared. Based on the result, beta coefficient of CG-FR proved to be best method to produce the best regression model with the least root mean square error value.
format Thesis
qualification_level Bachelor degree
author Rohimi Ozeman, Anis Shahida
author_facet Rohimi Ozeman, Anis Shahida
author_sort Rohimi Ozeman, Anis Shahida
title Comparison of Conjugate Gradient methods for developing the multiple linear regression model for rubber yield in Malaysia / Anis Shahida Rohimi Ozeman
title_short Comparison of Conjugate Gradient methods for developing the multiple linear regression model for rubber yield in Malaysia / Anis Shahida Rohimi Ozeman
title_full Comparison of Conjugate Gradient methods for developing the multiple linear regression model for rubber yield in Malaysia / Anis Shahida Rohimi Ozeman
title_fullStr Comparison of Conjugate Gradient methods for developing the multiple linear regression model for rubber yield in Malaysia / Anis Shahida Rohimi Ozeman
title_full_unstemmed Comparison of Conjugate Gradient methods for developing the multiple linear regression model for rubber yield in Malaysia / Anis Shahida Rohimi Ozeman
title_sort comparison of conjugate gradient methods for developing the multiple linear regression model for rubber yield in malaysia / anis shahida rohimi ozeman
granting_institution Universiti Teknologi MARA
granting_department Faculty of Computer and Mathematical Sciences
publishDate 2018
url https://ir.uitm.edu.my/id/eprint/39997/1/39997.pdf
_version_ 1804889634013970432