The relationship between stellar luminosity, stellar temperature, and stellar radius plays a critical role in comprehending the stellar structure and evolution. In this work, the empirical investigation of stellar luminosity scaling was carried out through the analysis of the stellar catalog data to validate the Stefan-Boltzmann Law. The analysis was carried out to understand the relationship between stellar luminosity and stellar temperature as well as the combined parameter R2T4, which theoretically controls the radiative output of the stars. The analysis was carried out through the log-log regression analysis to understand the conformity between the theoretical predictions and the empirical data. The log-log regression analysis between the stellar luminosity and the combined parameter R2T4 resulted in a slope of approximately 0.96, which closely matches the theoretical value. Moreover, the comparison between the observed and predicted luminosity values provided a coefficient of determination equal to R2 = 0.92, which shows a high degree of agreement between the theoretical model and observational data. In addition to that, the stellar distribution was examined based on the Hertzsprung - Russell diagram, which shows specific areas that represent the population of main sequence stars, giants, and white dwarfs. Residual analysis based on stellar types shows differences in the accuracy of the theoretical relation during different evolutionary stages.
