In this paper, based on the results of modeling rail freight turnover on the Krasnoyarsk Railway, obtained by organizing a «competition» of regression models, using the econometric package Gretl, for the first time a statistical analysis of the criteria matrix was conducted. For this matrix, for each adequacy criterion, the main statistical characteristics were determined, grouped statistical series were found, and histograms were constructed. The productivity factors of the «competition» of models, quantitatively reflecting its effectiveness, are proposed. The correlation coefficients between all possible pairs of criteria were found using the criterial matrix, and the multiple linear regression model of the dependence of the coefficient of determination on the other indicators was evaluated. All possible scatter diagrams have been built, which serve as a visual tool for solving two-criteria problems for choosing the best regression model.
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