### Journals Information

**
Mathematics and Statistics Vol. 9(6), pp. 939 - 946 DOI: 10.13189/ms.2021.090610 Reprint (PDF) (476Kb) **

## An Improved Simple Averaging Approach for Estimating Parameters in Simple Linear Regression Model

**Jetsada Singthongchai ^{1}, Noppakun Thongmual ^{2}^{,*}, Nirun Nitisuk ^{2}**

^{1}Department of Informatics and Computer Science, Faculty of Sciences and Health Technology, Kalasin University, 46000, Thailand

^{2}Department of Science and Mathematics, Faculty of Sciences and Health Technology, Kalasin University, 46000, Thailand

**ABSTRACT**

This research is about estimating parameters in simple linear regression model. Regression model is applied for predictive in many filed. Ordinary lest square (OLS) approach and Maximum likelihood (ML) approach are employed for estimating parameter in simple linear regression model when the assumption is not violated. This research interested in simple linear regression model when the assumption is violated. Simple Averaging (SA) approach is an alternative for estimating parameters in simple linear regression model where assumptions are not successfully used. We improved SA approach based on the median which is called the improved Simple Averaging (ISA) approach. For comparing the two approaches for estimating parameter in simple linear regression model, ISA approach is compared with SA approach under Root Mean Square Error (RMSE) which reflected accuracy of prediction in simple linear regression. By using the sample, the results showed that ISA approach is better than SA approach where the value of RMSE of ISA approach is less than the value of RMSE of SA approach. Therefore, ISA approach is better than SA approach. Our study suggests ISA approach to estimating parameter on simple linear regression because ISA approach accuracy than SA approach and ISA approach simplify the estimation of parameters in the simple linear regression model. Hence, ISA approach an alternative for estimating parameters in simple linear regression model when the assumptions are not successfully used.

**KEYWORDS**

Simple Averaging, Simple Linear Regression Model, Improved Simple Averaging, Ordinary Lest Square, Root Mean Square Error

**Cite This Paper in IEEE or APA Citation Styles**

(a). IEEE Format:

[1] Jetsada Singthongchai , Noppakun Thongmual , Nirun Nitisuk , "An Improved Simple Averaging Approach for Estimating Parameters in Simple Linear Regression Model," Mathematics and Statistics, Vol. 9, No. 6, pp. 939 - 946, 2021. DOI: 10.13189/ms.2021.090610.

(b). APA Format:

Jetsada Singthongchai , Noppakun Thongmual , Nirun Nitisuk (2021). An Improved Simple Averaging Approach for Estimating Parameters in Simple Linear Regression Model. Mathematics and Statistics, 9(6), 939 - 946. DOI: 10.13189/ms.2021.090610.