In our current investigation, we have discussed the effects of second-order slip and radiation on the flow of a generalized rotating fluid inside a channel in the presence of a magnetic field. The flow equations are transformed into a set of ordinary differential equations with the help of suitable similarity transformations, and the resultant coupled nonlinear ordinary differential equations are solved analytically. Using the obtained results, the effects of the involved physical parameters on the flow dynamics are examined and described physically. In addition, Pearson’s coefficient of correlation has been utilized to measure the linear association between different variables. The impact of emerging dimensionless parameters such as Hartman number, rotation parameter, radiation parameter, viscosity parameter, first- and second-order slip parameter, Schmidt number, and suction parameter on the Nusselt number and Sherwood number have all been investigated using a slope linear regression approach across the whole data points. The [Formula: see text]-test approach has been adopted to explore the relationship between various involved physical parameters.