Solar chimneys are renewable energy systems that increase natural ventilation to provide thermal comfort in buildings. Solar chimneys are passive systems that effectively improve energy efficiency in a sustainable and environmentally friendly manner. The design of the solar chimney and its location, which is in cardinal directions, are essential for efficient performance. This article presents a regression analysis to predict solar chimney design features for enhancing performance. The proposed regression model estimates constructive features, i.e., dimensions, optical properties, and thermal diffusivity for materials, e.g., concrete, brick, metal, and phase change materials, considering the weather conditions of Mexico City. The results indicate that the regression solution identified the highest values of mass flow rate and air changes per hour rates when the height and thickness of the air channel in the Solar Chimney were greater than 2.0 and 0.15 m, respectively, and when the induced ventilation exceeded 0.08 kg/s \(^{-1}\) and 4.0 air changes-per-hour.