Exploration of the f_DM − V_c relation across different stellar masses and redshift intervals. First panel: f_DM − V_c relation for the low-stellar mass bin (M_star ≤ 10¹⁰ M_⊙) in yellow and the high-stellar mass bin (M_star > 10¹⁰ M_⊙) in orange. The best-fit to original f_DM − V_c relation is shown blue dashed line given by Equation (6). The Equations corresponds to best fit of low- and high-stellar mass bins is written on the plot, shown by brown and orange dashed lines, respectively. The intrinsic scatter (ζ_int) associated with fits are printed on plot using same color code. Second-third panel: f_DM − V_c relation separated for low- and high-stellar masses, left and right panel respectively. In both panels, low-z (z ≤ 1) and high-z (z > 1) galaxies are shown in blue and red, respectively, and corresponding best-fits are shown by dashed blue and red lines. In all panels, filled crosses and circles represent the measurements taken within R_opt and R_out, respectively, and median error on the data points is indicated by gray crosses. Low surface brightness and low velocity low mass galaxies at high redshift might be missed from the sample. On the other hand, it is clear that DM fractions are lower at fixed rotational velocity at higher redshift, i.e. the plots are not biased on the vertical axis. We note to the reader that these relations are plotted exclusively for objects with f_DM > 0 for the clarity on the matter, while the full sample is shown in Figure 13.