The regression-kriging method combines multiple regression modeling using DEM data as predictors of precipitation with geostatistical interpolation of the regression residuals. It involves choosing predictors like elevation, calculating a regression model surface, computing residuals, interpolating the residuals with kriging, and adding the results to the regression surface. When applied to annual precipitation data from 1961-1970 in Armenia, regression-kriging reduced the mean square error compared to multiple regression alone, demonstrating its effectiveness at modeling the spatial distribution of precipitation.