|
News of the Kabardin-Balkar scientific center of RAS, 2018, Issue 6-3, Pages 58–62
(Mi izkab106)
|
|
|
|
COMPUTER SCIENCE. CALCULATION EQUIPMENT. MANAGEMENT
A new version of the least squares method
for multifactor linear regression analysis
and its applications
M. M. Oshkhunova, M. A. Dzhankulaevaa, M. H. Kertbievab, A. A. Arianb a Institute of Computer Science and Problems of Regional Management –
branch of Federal public budgetary scientific establishment "Federal scientific center
"Kabardin-Balkar Scientific Center of the Russian Academy of Sciences",
360000, KBR, Nalchik, 37-a, I. Armand St.
b FSBI HE "Kabardino-Balkaria State University by H.M. Berbekov",
360004, Nalchik, Street Chernyshevskogo, 173
Abstract:
The new variant of the least square method for linear regression analysis is presented. The idea of the
new version is minimization of the sum of squared distances between the hyperplanes and the given statistical points. The comparing analysis of new method and classical algorithm for dispersion is presented.
The non-uniqueness of the solution of the problem of choosing a linear multifactorial function is shown.
Numerical examples illustrating the main ideas of the new approach are given.
Keywords:
non-classical regression analysis, hyperplane, least square method.
Received: 28.11.2018
Citation:
M. M. Oshkhunov, M. A. Dzhankulaeva, M. H. Kertbieva, A. A. Arian, “A new version of the least squares method
for multifactor linear regression analysis
and its applications”, News of the Kabardin-Balkar scientific center of RAS, 2018, no. 6-3, 58–62
Linking options:
https://www.mathnet.ru/eng/izkab106 https://www.mathnet.ru/eng/izkab/y2018/i63/p58
|
Statistics & downloads: |
Abstract page: | 49 | Full-text PDF : | 10 | References: | 11 |
|