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...
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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 |
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Norddin, Nur Idalisa |
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Mathematical statistics Probabilities Analysis Algorithms |
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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 |
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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. |
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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 |