Quadratic regression analysis on the stagnation point flow of Ag+TiO2/H2O, Ag+TiO2/CH3OH and Ag+TiO2/H2O-C2H6O2 hybrid nano-fluids past a stretching cylinder placed in a porous medium with multiple slips has been explored numerically. The flow regulating boundary layer equations consider the inclined Lorentz force, viscous-Ohmic dissipation, heat source, nonlinear way varying thermal radiation, and first-order chemical reaction. The continuity, energy, and concentration governing equations of tiny-particles are transformed into a set of ordinary differential equations using the appropriate transformations. The Runge-Kutta-Fehlberg method and the well-known shooting methodology were used to illuminate the numerical for the nonlinear differential equations with the associated boundary conditions. The impact of various controlling factors on velocity, temperature, tiny-particle concentration, surface drag coefficient, heat transfer rate, and mass transfer rate is then illustrated using numerical analysis. In the absence of a velocity ratio parameter, the hybrid nano-fluid moves more quickly than when it is present. The temperature and concentration fields, however, show the opposite pattern. Additionally, the temperature profile is highlighted, while the velocity profile fell as the magnetic parameter increased. Moreover, velocity slip reduces the fluid velocity profile, whereas the temperature profile declines for growing values of the temperature jump parameter. The proposed model is useful because it may be used in a variety of fields, such as biomedical sciences, glassblowing, cancer therapies, metal spinning, microelectronics, filament cooling, industrial production processes, biology, etc. Quadratic regression has been statistically used to analyze the effects of pertinent parameters on the drag coefficient and heat and mass transfer rates.