Research interconnection of indices of human development, quality of the urban environment, quality of life and gross regional product by the method of the main component

Currently, the urgency of considering the problems of comfort and life safety of the population of megalopolises and regions is indisputable. Particular attention is paid to the use of various indicators for assessing - the human development index, the urban environment quality index, the quality of life index, the gross regional product per capita and other indicators. The subject of the research is the indices of socio-economic development of the constituent entities of the Russian Federation. The aim of the study is to identify the relationship between indicators that make it possible to assess the comfort and safety of the living environment, ensuring the quality of life and quality of the urban environment standards and having a priority value for the formation of a high level of human capital in regions and megacities. It was hypothesized that the study of megalopolises using the above-mentioned indicators can be described using fewer factors, since there should be a relationship between the indicators. It is assumed that all of these indicators contain a fairly large number of similar indicators, the tightness of the relationship between which can be revealed by the methods of correlation analysis. Comparison of these five indices was carried out using economic and mathematical methods, regression analysis. Using the principal component method, a statistically significant regression equation was found that describes the dependence of the indicators under consideration. According to the results of the calculations, it was found that the magnitude of the impact of indicators on the change in the human development index is 84%. The hypothesis has been proved that the main factors influencing the human development index change are the quality of the urban environment, the quality of life of the population, and the gross regional product per capita.