Characterizing molecular gas depletion time ﹩{\tau }_{\mathrm{depl}}﹩ (upper panels) and molecular gas to stellar mass ratio ﹩{\mu }_{\mathrm{molgas}}﹩ (lower panels) in the functional form of Equation (11). From left to right, we show ﹩{\tau }_{\mathrm{depl}}﹩ versus redshift, ﹩{t}_{\mathrm{cosmic}\mathrm{age}}﹩, ﹩{\rm{\Delta }}\mathrm{MS}﹩, and ﹩{M}_{\star }﹩, respectively. Data points in each panel are rescaled using the best-fit function to remove the dependency on other parameters and leave only the correlation with the current X-axis parameter (with coefficient(s) labeled at the bottom of each panel). Orange data points are from A3COSMOS, while green ones are from the PHIBSS 1&2 surveys (T18), and gray ones are from the literature as listed in Table 1 and at the top. We distinguish these samples by different symbols in order to better reveal outliers and sample biases against each parameter after removing other parameter dependencies. Our best-fit function is shown as the orange solid line in each panel, while the functions from T18 (see Equation (5)) and S17 (see Equation (4)) are shown as green dashed and pink dotted lines, respectively.