Intrinsic velocity dispersion (σ₀) and the ratio of rotation velocity at the effective radius (V_rot(R_e)) to intrinsic velocity dispersion (σ₀) as a function of five galaxy properties: molecular gas fraction (f_molgas), stellar mass (log(M_⋆/M_⊙)), offset from the main sequence (ΔMS), star formation rate surface density (Σ_SFR), and molecular gas mass (log(M_gas/M_⊙)). The dashed and solid grey curves in the first column are the predicted trends based on Equation (3) with Q fixed at Q_crit = 0.67, with a = 1 and a= $\sqrt{2}$, respectively. The Kendall and Spearman’s rank correlation coefficients (τ and ρ) and their corresponding p-values are shown alongside the 1-σ percentile errors. Taking σ₀ at face value, it shows a tentative correlation (highlighted in red) with f_molgas, while V_rot(R_e) correlates most significantly with ΔMS. The most poorly resolved galaxy CRISTAL-03 (empty red circle), with an extent covered by < 2 beams, was excluded from the correlation analysis. The limited statistics and narrow parameter range of our data tend to lead to large uncertainties in the correlation coefficients and their p-values, these trends should be interpreted with caution.