КОМП’ЮТЕРНА ПІДТРИМКА ВИВЧЕННЯ ТЕМИ “МЕТОД НАЙМЕНШИХ КВАДРАТІВ”КУРСУ ТЕОРІЇ ЙМОВІРНОСТЕЙ ІЗ ЕЛЕМЕНТАМИ МАТЕМАТИЧНОЇ СТАТИСТИКИ

Abstract

The article is devoted to the problem of developing the components of an effective computer-oriented methodological system of teaching the discipline "Probability theory with elements of mathematical statistics", which is provided by the curriculum for the training of future mathematics teachers. The article discusses the methodological and algorithmic aspect of the organization of calculations in the process of applying the least squares method to determine the functional dependence between the features of the sample of the general totality in the mathematical program environment Mathcad. Detailed examples of solving the problems of equating the values of a sample of a general totality along a first-degree polynomial (linear dependence), a second-degree polynomial (parabola), and a third-degree polynomial (cubic parabola) are given. The theoretical foundations of the least squares method are presented. A brief review of the educational and methodological literature used in teaching the theory of probabilities with elements of mathematical statistics is carried out, the expediency of using mathematical software in the study of the content of the specified discipline is substantiated. Provisions have been formulated on the need to develop test problems of varying degrees of complexity in probability theory with elements of mathematical statistics in order to objectively evaluate students' academic achievement. The article contains the useful implementations of the least-squares method in the Mathcad software environment; conclusions and directions of further scientific and pedagogical research in the field of implementation of computational methods of mathematical statistics when finding statistical estimates of a sample of values of a random variable of the general totality. The methodical and algorithmic materials presented in the article can be useful to students for organizing and activating independent scientific-pedagogical activity, teachers of secondary educational institutions, heads of facultative and circle work of students, teachers of the theory of probability courses with elements of mathematical statistics. Key words: least squares method, statistical sampling, general totality, probability theory, elements of mathematical statistics.