coefficient of determination

An R2 score or a coefficient of determination is used often as a metric to evaluate regression models. It can be applied solely but usually it is combined with other metrics in order to increase accuracy of a model evaluation. The goal of the work is to research the dynamics of the R2 score of a K-Nearest Neighbors regression model trained on series of different sizes in order to propose a new approach to increase the robustness and accuracy of the model evaluation when the R2 score metric is used solely.

At the current stage of economic reform, the introduction of market-based management methods, there is a growing need for prompt decision-making in the calculation and forecasting of options for possible directions of production activity of individual enterprises. And this is practically impossible to do without the use in analytical study of economic and mathematical methods. The most common in the process of simple economic analysis of the activity of economic systems is the use of correlation-regression analysis.

In the paper the regional peculiarities of tourism activities in the regions of Ukraine have been analyzed with use of correlation analysis, the method of a point assessment and with definition of the coefficient of determination. The impact of the factors such as competition in the tourist market, the population size and personal income, tourism resources on the development of tourism business has been analysed. The comparison of the tourist potential of the regions of Ukraine has been carried out with the use of the value index of tourist enterprises.