Application of mathematical statistics methods to assess the investment potential of the region

Since each subject of the Russian Federation has full rights to conduct both interregional and international economic relations, the indicators of regional development largely depend on the investment strategy being implemented, including the level of investment potential. In this regard, the article deals with the urgent task of assessing the investment potential of the region based on socio-economic indicators using mathematical statistics, which allows us to obtain objective and reliable results, and also ensures the scalability of the methodology used and the possibility of its application to analyze the investment potential of other regions of the Russian Federation. Correlation and regression analysis was used, a linear regression model was studied for multicollinearity. The use of multidimensional statistical analysis of the investment attractiveness indicators of the Orenburg region allowed us to identify the most significant factors influencing the volume of investments in the fixed capital of the region, which include: the amount of work performed by the type of economic activity "Construction"; average per capita monetary income of the population; the volume of manufacturing production; the proportion of the working-age population in the total number. Based on the results of correlation and regression analysis, it is concluded that the level of investment in fixed assets of the Orenburg region is most significantly influenced by such areas of economic activity as agriculture, mining and manufacturing. Attracting investments to the identified sectoral priorities of the investment attractiveness of the Orenburg region will ensure the creation of high-performance places in the region, increase the gross regional product, and also give a multiplier effect for the development of other activities.