Supercritical-CO2 fluid extraction (SFE) is a green technology which is being used for the extraction of bioactive compounds such as pigments and fatty acids, in recent years. Naturally occurring plants or plant-based extracts are considered potential candidates with antioxidant and antimicrobial activities. Therefore, in this work, a range of locally available natural plants i.e. oregano, Mexican arnica also known as Heterotheca inuloides, lemon peel, and blackberry marc was analyzed for the extraction of high-value compounds. A multivariable linear regression model was used to analyze the output variables in relation with the inputs i.e. pressure (P), temperature (T), and co-solvent (CoS). Based on Arrhenius equation, the linear correlativity of the data with an activation energy Ea = 6064.14 kJ/mol and a pre-exponential factor of K-0 = 0.388 s(-1) were recorded. The thermodynamic parameters of enthalpy, entropy, and Gibbs free energy were also evaluated, correlating the thermodynamics with the extraction yield of the process. (C) 2016 Elsevier B.V. All rights reserved.