Abstract: The article deals with theoretical approaches to determining the categories of “economic potential” and “economic growth”, the problems of efficient use of the region’s potential, substantiates the direction and degree of influence of the shadow economy on economic growth, reveals the essence of the shadow economy (households) as an element of economic potential, correlation and regression analysis of households and per capita GDP of the Republic of Uzbekistan and a new alternative method for constructing correlation the model to obtain more accurate indicators that are very close to real.