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Paper ID:10.55041/IJSREM26596

Residual Analysis in Simple Linear Regression: A Practical Application with the Jarque-Bera Test

Stream/Area:

-

Subject:

-

Paper ID:

10.55041/IJSREM26596

Volume:

7 |

11 |

Nov 2023

Pages:

Publication Frequency:

Monthly (12 issues per year)

DOI
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Not assigned

License:International Journal of Scientific Research in Engineering and Management follows the Creative Commons Attribution 4.0 (CC BY 4.0) License, allowing free use and distribution with proper attribution.

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Authors

SU

Siddamsetty Upendra

DRA

Dr. R. Abbaiah

DPB

Dr. P. Balasiddamuni

DKM

Dr. K. Murali

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Abstract

This study provides a practical guide to residual analysis in ordinary linear regression, a basic statistical technique. Explains how to calculate and interpret residuals, which play a key role in assessing model validity. The study then focuses on the Jarque-Bera test, a diagnostic tool used to assess the normality of residuals. Through a step-by-step example, we show how to calculate the skewness and kurtosis of the residuals, and then calculate the Jarque-Bera test statistic. We highlight the importance of this test in determining whether residuals obey a normal distribution, helping researchers make reliable statistical inferences. This practical guide helps readers understand the importance of residual analysis in building robust regression models.

KEYWORDS

Residual analysis simple linear regression model assumptions Ordinary Least Squares OLS estimation Jarque-Bera test normality validation practical example.

Cite This Article

Siddamsetty Upendra, Dr. R. Abbaiah, Dr. P. Balasiddamuni, Dr. K. Murali, "Residual Analysis in Simple Linear Regression: A Practical Application with the Jarque-Bera Test," International Journal of Scientific Research in Engineering and Management, vol. 7, no. 11, Nov 2023. https://doi.org/10.55041/IJSREM26596

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Publication Date

11/10/2023

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Double-Blind Peer Review

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