Authors :
Madhuparna Das Hait; Priya Das; Washim Akram; Siddhartha Chatterjee
Volume/Issue :
Volume 10 - 2025, Issue 7 - July
Google Scholar :
https://tinyurl.com/3j52ekae
DOI :
https://doi.org/10.38124/ijisrt/25jul349
Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.
Note : Google Scholar may take 30 to 40 days to display the article.
Abstract :
The main objective of this research is to determine which of the three methods of regression; Ordinary Least
Squares (OLS) regression, Baseline regression, and Polynomial regression offers the most accurate predictive capability and
an ability to capture the associations between two variables. Other assessment indicators include R squared and Mean
squared error (MSE) while graphical techniques include residual charts. The paper presents a concise review of the linear
regression method, the mathematical background of the method, and the procedure for improving the efficiency of the model
by selecting relevant features. It discusses the use OLS regression as the fundamental technique of statistical inference and
its relative accuracy to other methods. Using regression lines, residual graphs, outliers influence and effects of outliers, the
research shows how reliable predictions can be made using such models. This work contributes to the understanding of
statistical modelling, giving practicable guidelines for enhancing data analysis techniques for all fields of study, mainly
economics, natural science, and social science to enable improved decision-making and enhanced accuracy of the analysis.
Keywords :
Predictive Accuracy, Ordinary Least Squares (OLS), Model Evaluation Metrics.
References :
- Montgomery, D.C., Peck, E.A. and Vining, G.G., 2021. Introduction to linear regression analysis. John Wiley & Sons.
- James, G., Witten, D., Hastie, T., Tibshirani, R. and Taylor, J., 2023. Linear regression. In An introduction to statistical learning: With applications in python (pp. 69-134). Cham: Springer International Publishing.
- Maulud, D. and Abdulazeez, A.M., 2020. A review on linear regression comprehensive in machine learning. Journal of Applied Science and Technology Trends, 1(2), pp.140-147.
- Kibria, B.G. and Lukman, A.F., 2020. A new ridge‐type estimator for the linear regression model: simulations and applications. Scientifica, 2020(1), p.9758378.
- Abu-Faraj, M.A., Al-Hyari, A. and Alqadi, Z., 2022. Experimental Analysis of Methods Used to Solve Linear Regression Models. Computers, Materials & Continua, 72(3).
- Ottaviani, F.M. and De Marco, A., 2022. Multiple linear regression model for improved project cost forecasting. Procedia Computer Science, 196, pp.808-815.
- Etemadi, S. and Khashei, M., 2021. Etemadi multiple linear regression. Measurement, 186, p.110080.
- Shaker Reddy, P.C. and Sureshbabu, A., 2020. An enhanced multiple linear regression model for seasonal rainfall prediction. International Journal of Sensors Wireless Communications and Control, 10(4), pp.473-483.
- Shewa, G.A. and Ugwuowo, F.I., 2023. A new hybrid estimator for linear regression model analysis: Computations and simulations. Scientific African, 19, p.e01441.
- Gupta, A.K., Singh, V., Mathur, P. and Travieso-Gonzalez, C.M., 2021. Prediction of COVID-19 pandemic measuring criteria using support vector machine, prophet and linear regression models in Indian scenario. Journal of Interdisciplinary Mathematics, 24(1), pp.89-108.
- Arum, K.C., Ugwuowo, F.I., Oranye, H.E., Alakija, T.O., Ugah, T.E. and Asogwa, O.C., 2023. Combating outliers and multicollinearity in linear regression model using robust Kibria-Lukman mixed with principal component estimator, simulation and computation. Scientific African, 19, p.e01566.
- Ghosh, P., Hazra, S., and Chatterjee, S. Future Prospects Analysis in Healthcare Management Using Machine Learning Algorithms. the International Journal of Engineering and Science Invention (IJESI), ISSN (online), 2319-6734.
- Hazra, S., Mahapatra, S., Chatterjee, S., and Pal, D. 2023. Automated Risk Prediction of Liver Disorders Using Machine Learning. In the proceedings of 1st International conference on Latest Trends on Applied Science, Management, Humanities and Information Technology (SAICON-IC-LTASMHIT-2023) on 19th June (pp. 301-306).
- Gon, A., Hazra, S., Chatterjee, S., and Ghosh, A. K. 2023. Application of machine learning algorithms for automatic detection of risk in heart disease. In Cognitive cardiac rehabilitation using IoT and AI tools (pp. 166-188). IGI Global.
- Das, S., Chatterjee, S., Sarkar, D., and Dutta, S. 2022. Comparison Based Analysis and Prediction for Earlier Detection of Breast Cancer Using Different Supervised ML Approach. In Emerging Technologies in Data Mining and Information Security: Proceedings of IEMIS 2022, Volume 3 (pp. 255-267). Singapore: Springer Nature Singapore.
- Das, S., Chatterjee, S., Karani, A. I., and Ghosh, A. K. 2023, November. Stress Detection While Doing Exam Using EEG with Machine Learning Techniques. In International Conference on Innovations in Data Analytics (pp. 177-187). Singapore: Springer Nature Singapore.
- Hazra, S. 2024. Pervasive nature of AI in the health care industry: high-performance medicine.
- Sima Das, Siddhartha Chatterjee, Sutapa Bhattacharya, Solanki Mitra, Arpan Adhikary and Nimai Chandra Giri “Movie’s-Emotracker: Movie Induced Emotion Detection by using EEG and AI Tools”, In the proceedings of the 4th International conference on Communication, Devices and Computing (ICCDC 2023), Springer-LNEE SCOPUS Indexed, DOI: 10.1007/978-981-99-2710-4_46, pp.583-595, vol. 1046 on 28th July, 2023.
- Chatterjee, R., Chatterjee, S., Samanta, S., & Biswas, S. (2024, December). AI Approaches to Investigate EEG Signal Classification for Cognitive Performance Assessment. In 2024 6th International Conference on Computational Intelligence and Networks (CINE) (pp. 1-7). IEEE.
- Adhikary, A., Das, S., Mondal, R., & Chatterjee, S. (2024, February). Identification of Parkinson’s Disease Based on Machine Learning Classifiers. In International Conference on Emerging Trends in Mathematical Sciences & Computing (pp. 490-503). Cham: Springer Nature Switzerland.
- Ghosh, P., Dutta, R., Agarwal, N., Chatterjee, S., and Mitra, S. (2023). Social media sentiment analysis on third booster dosage for COVID-19 vaccination: a holistic machine learning approach. Intelligent Systems and Human Machine Collaboration: Select Proceedings of ICISHMC 2022, 179-190.
- Rupa Debnath; Rituparna Mondal; Arpita Chakraborty; Siddhartha Chatterjee 2025 Advances in Artificial Intelligence for Lung Cancer Detection and Diagnostic Accuracy: A Comprehensive Review. International Journal of Innovative Science and Research Technology, 10(5), 1579-1586. https://doi.org/10.38124/IJISRT/25may1339
- Nitu Saha; Rituparna Mondal; Arunima Banerjee; Rupa Debnath; Siddhartha Chatterjee; (2025) Advanced Deep Lung Care Net: A Next Generation Framework for Lung Cancer Prediction. International Journal of Innovative Science and Research Technology, 10(6), 2312-2320. https://doi.org/10.38124/ijisrt/25jun1801
- Poushali Das; Washim Akram; Arijita Ghosh; Suman Biswas; Siddhartha Chatterjee (2025) Enhancing Diagnostic Accuracy: Leveraging Continuous pH Surveillance for Immediate Health Evaluation. International Journal of Innovative Science and Research Technology, 10(7), 7-12. https://doi.org/10.38124/ijisrt/25jul123
- Manali Sarkar; Aparajita Das; Sraddha Roy Choudhury; Siddhartha Chatterjee 2025. A* Based Optimized Travel Recommendation System for Smart Mobility. International Journal ofInnovative Science and Research Technology, 10(5), 3185-3193. https://doi.org/10.38124/ijisrt/25may2352
- Hazra, S., Chatterjee, S., Mandal, A., Sarkar, M., Mandal, B.K. 2023. An Analysis of Duckworth-Lewis-Stern Method in the Context of Interrupted Limited over Cricket Matches. In: Chaki, N., Roy, N.D., Debnath, P., Saeed, K. (eds) Proceedings of International Conference on Data Analytics and Insights, ICDAI 2023. ICDAI 2023. Lecture Notes in Networks and Systems, vol 727. Springer, Singapore. https://doi.org/10.1007/978-981-99-3878-0_46
The main objective of this research is to determine which of the three methods of regression; Ordinary Least
Squares (OLS) regression, Baseline regression, and Polynomial regression offers the most accurate predictive capability and
an ability to capture the associations between two variables. Other assessment indicators include R squared and Mean
squared error (MSE) while graphical techniques include residual charts. The paper presents a concise review of the linear
regression method, the mathematical background of the method, and the procedure for improving the efficiency of the model
by selecting relevant features. It discusses the use OLS regression as the fundamental technique of statistical inference and
its relative accuracy to other methods. Using regression lines, residual graphs, outliers influence and effects of outliers, the
research shows how reliable predictions can be made using such models. This work contributes to the understanding of
statistical modelling, giving practicable guidelines for enhancing data analysis techniques for all fields of study, mainly
economics, natural science, and social science to enable improved decision-making and enhanced accuracy of the analysis.
Keywords :
Predictive Accuracy, Ordinary Least Squares (OLS), Model Evaluation Metrics.