Improving Predicting Accuracy by the Method of Least Squares
Keywords:
Least squares method, prediction, approximation, true values, linear function model, error, linear regression, quadratic parabola method.Abstract
Several predicting methods are analyzed in this paper, including: least squares method, extrapolation method, exponential smoothing method, adaptive smoothing method, mathematical modeling method, band method, matrix method, simulation method. One of these methods is aimed at solving the given problem using the methods of least squares linear regression and second order parabola method (quadratic regression). Currently, issues related to the approximation of points in the plane for calculating the coefficients of the function are relevant. Technologists, designers, and mathematicians use various approximation methods to average any number of measurements. Also in this paper, the analysis and programming of the above methods are aimed at finding the optimal function coefficients and helping the future application of these methods in the analysis of experimental data. In addition, a statistical approach aimed at modeling and predicting the level of fire risk based on the data coming from devices and environmental factors using the method of least squares has been developed.
References
M.Kh.Khudayberdiev, O.Z.Koraboshev. Methods and algorithms for monitoring and prediction of various fire hazardous situations // Journal of Chemical technology control and management. – Tashkent, 2023, №2 (110) pp. 72-79.
M.Kh.Khudayberdiev, O.Z.Koraboshev, K.M. Khudayberdiev. Algorithms to support decision-making on ensuring fire safety. Journal of Informatics and Energy Problems, 2022, №5, pp. 32-42.
O.Z.Koraboshev. Prediction using fire data based on machine learning algorithms. Journal of Chemical technology control and management. 2023, №3 (111) pp. 57-63.
O.Z.Koraboshev. Decision-making support algorithms for eliminating and preventing emergency situations. Scientific-practical and information-analytical journal of the descendants of Muhammad al-Khwarizmi, 2023. pp. 214-217.
O.Z.Koraboshev. Ensuring fire safety using neural networks and genetic algorithms. Proceedings of the scientific conference "Science and Technology in the Fergana Valley", 2023. pp. 335-338.
O.Z.Koraboshev. Fire and emergency management using machine learning methods. Scientific and technical journal of Fergana Polytechnic Institute - №6 (29). pp. 144-149.
O.Z.Koraboshev. Prevention of emergency situations at facilities with high fire risk. Scientific and practical electronic journal "Fire and explosion safety", 2023. pp. 95-101.
A.A.Ravshanov. Using a neural network to remove noise from images. Chemical technology. control and management. - 2024, №3 (117) pp.72-77.
Goodin, S. Problems of fire risk management on the territory of oil refining facilities using modern software products. Fire and explosion safety. 2015. - No. 12 (24). - pp. 40-45.
Dmitriev V.I., Ingtem J. Using spline approximation in solving integral equations of the first kind. Applied Mathematics and Information Science, No. 14. Moscow: Publishing Department of the Faculty of Computational Mathematics and Cybernetics, 2003. pp. 5-10.
Kolomiets L.V., Ponikarova N.Yu. Least squares method: method. instructions. Moscow: Publishing house of Samara University. 2017. - 132 p.
