Research Article

An Approach Towards the Least-Squares Method for Simple Linear Regression

Volume: 2 Number: 2 September 23, 2022
EN

An Approach Towards the Least-Squares Method for Simple Linear Regression

Abstract

This study approaches the least-squares method for simple linear regression model. The least-squares line does not comply with the data when there are outliers that have deceptive effects on the results in the dataset. The study aims to develop a method for obtaining a line that complies more with the data when there are outliers in the dataset.

Keywords

References

  1. Miller I, Miller M. Mathematical Statistics, Prenttice-Hall, Inc, 1999 (Çev. Ümit Şenesen John E. Freund’dan Matematiksel İstatistik, Literatür Yayıncılık. 2007).
  2. Arslan İ. Python ile Veri Bilimi, Pusula Yayıncılık, Türkiye, 2020.
  3. Rousseeuw PJ, Leroy AM. Robust regression and outlier detection. John Wiley & Sons, 1987.
  4. Attaway S. Matlab A Practical Introduction to Programming and Problem Solving. 5th ed. Cambridge, USA, Butterwoth-Heinmann, 2019.
  5. Kubat C. Matlab Yapay Zeka ve Mühendislik Uygulamaları. 5. Baskı, İstanbul, Türkiye, Abaküs Kitap Yayın, 2021.
  6. Güneş A, Yıldız K. Matlab Matematik ve Grafik Programlama Dili. İstanbul, Türkiye, Türkmen Kitabevi, 1997.
  7. Verardi V, Croux C. “Robust regression in Stata”. The Stata Journal, 9(3), 439-453, 2009.
  8. Andersen R. Modern methods for robust regression (No. 152). Sage, 2008.

Details

Primary Language

English

Subjects

Artificial Intelligence, Mathematical Sciences

Journal Section

Research Article

Publication Date

September 23, 2022

Submission Date

December 7, 2021

Acceptance Date

July 1, 2022

Published in Issue

Year 2022 Volume: 2 Number: 2

APA
Tali, H. H., & Çelti, C. (2022). An Approach Towards the Least-Squares Method for Simple Linear Regression. Advances in Artificial Intelligence Research, 2(2), 38-44. https://doi.org/10.54569/aair.1032607
AMA
1.Tali HH, Çelti C. An Approach Towards the Least-Squares Method for Simple Linear Regression. Adv. Artif. Intell. Res. 2022;2(2):38-44. doi:10.54569/aair.1032607
Chicago
Tali, Hasan Halit, and Ceren Çelti. 2022. “An Approach Towards the Least-Squares Method for Simple Linear Regression”. Advances in Artificial Intelligence Research 2 (2): 38-44. https://doi.org/10.54569/aair.1032607.
EndNote
Tali HH, Çelti C (September 1, 2022) An Approach Towards the Least-Squares Method for Simple Linear Regression. Advances in Artificial Intelligence Research 2 2 38–44.
IEEE
[1]H. H. Tali and C. Çelti, “An Approach Towards the Least-Squares Method for Simple Linear Regression”, Adv. Artif. Intell. Res., vol. 2, no. 2, pp. 38–44, Sept. 2022, doi: 10.54569/aair.1032607.
ISNAD
Tali, Hasan Halit - Çelti, Ceren. “An Approach Towards the Least-Squares Method for Simple Linear Regression”. Advances in Artificial Intelligence Research 2/2 (September 1, 2022): 38-44. https://doi.org/10.54569/aair.1032607.
JAMA
1.Tali HH, Çelti C. An Approach Towards the Least-Squares Method for Simple Linear Regression. Adv. Artif. Intell. Res. 2022;2:38–44.
MLA
Tali, Hasan Halit, and Ceren Çelti. “An Approach Towards the Least-Squares Method for Simple Linear Regression”. Advances in Artificial Intelligence Research, vol. 2, no. 2, Sept. 2022, pp. 38-44, doi:10.54569/aair.1032607.
Vancouver
1.Hasan Halit Tali, Ceren Çelti. An Approach Towards the Least-Squares Method for Simple Linear Regression. Adv. Artif. Intell. Res. 2022 Sep. 1;2(2):38-44. doi:10.54569/aair.1032607

Cited By

88x31.png
Advances in Artificial Intelligence Research is an open access journal which means that the content is freely available without charge to the user or his/her institution. All papers are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License, which allows users to distribute, remix, adapt, and build upon the material in any medium or format for non-commercial purposes only, and only so long as attribution is given to the creator.

Graphic design @ Özden Işıktaş