Файл	Ном	Сабт карда шуд
Раҳматов М.Н., Раҳмонов Б.А.	USING THE LEAST SQUARES METHOD FOR PROCESSING THE RESULTS OF PHYSICAL MEASUREMENTS	39

Authors: Rahmatov Muhamadi Nuridinovich, lecturer of the department of general physics and solid, Rakhmonov Behzod Akbaralievich, lecturer of the department of mathematical analysis under the SEI “KhSU named after acad. B.Gafurov” (Tajikistan, Khujand)

JOURNAL NUMBER: 1(70). YEAR OF ISSUE: 2022. LANGUAGE OF THE ARTICLE: Tajik

 ANNOTATION

The article shows the scientific foundations of the least squares method and its application for processing the results of physical measurements. This combination contributes to a better perception of the presented material by students, teachers can use them to increase motivation in the educational process in experimental physics and in physical research. When solving experimental problems in physics, it often becomes necessary to measure physical quantities that are in functional dependence. As a rule, after measurements, information about a physical phenomenon is extracted from graphs constructed from data obtained experimentally, and the relationship between two physical quantities - x and y - is presented in the form of a table. The least squares method is one of the methods of regression analysis for estimating unknown quantities from measurement results containing random errors. The least squares method is also used to approximate a given function by other (simpler) functions and is often useful in processing observations. The task of the least squares method is to choose a vector that minimizes the error.

  KEY WORDS

least squares method, Student's coefficient, Cramer's method, data processing algorithm, errors, sum of squares of deviations of experimental points

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