This review article by Nimibofa Ayawei, Augustus Newton Ebelegi, and Donbebe Wankasi from the Department of Chemical Sciences at Niger Delta University, discusses the importance of modeling adsorption isotherms for the design of low-cost adsorbents to detoxify industrial effluents. The paper covers various isotherm models, including one-parameter, two-parameter, three-parameter, four-parameter, and five-parameter isotherms, and their applications in different adsorption systems. It also reviews linear and nonlinear regression analysis techniques for optimizing adsorption data analysis, emphasizing the use of error functions to improve the accuracy of model fitting. The authors highlight the significance of understanding and interpreting adsorption isotherms for enhancing the efficiency of adsorption mechanisms and systems. The article concludes by emphasizing the need to identify and clarify the usefulness of both linear and nonlinear regression analysis in various adsorption systems.This review article by Nimibofa Ayawei, Augustus Newton Ebelegi, and Donbebe Wankasi from the Department of Chemical Sciences at Niger Delta University, discusses the importance of modeling adsorption isotherms for the design of low-cost adsorbents to detoxify industrial effluents. The paper covers various isotherm models, including one-parameter, two-parameter, three-parameter, four-parameter, and five-parameter isotherms, and their applications in different adsorption systems. It also reviews linear and nonlinear regression analysis techniques for optimizing adsorption data analysis, emphasizing the use of error functions to improve the accuracy of model fitting. The authors highlight the significance of understanding and interpreting adsorption isotherms for enhancing the efficiency of adsorption mechanisms and systems. The article concludes by emphasizing the need to identify and clarify the usefulness of both linear and nonlinear regression analysis in various adsorption systems.