Relation between the SFR and gas mass densities of SFGs, i.e., the so-called KS relation. Left: our stacking results for our high, mid, and low stellar mass bins, i.e., 10¹¹ ≤ M_⋆/M_⊙ < 10¹², 10^10.5 ≤ M_⋆/M_⊙ < 10¹¹, and 10¹⁰ ≤ M_⋆/M_⊙ < 10^10.5, respectively, shown by pink, orange, and blue circles. Gray circles and stars are normal and starburst local galaxies from K98 and de los Reyes & Kennicutt (2019, taking only their molecular gas mass estimates, i.e., excluding the atomic phase). Red, purple, and brown triangles are ⟨z⟩ = 1.2 (Daddi et al. 2010), ⟨z⟩ = 1.5 (Davis et al. 2007; Noeske et al. 2007; Tacconi et al. 2010), and ⟨z⟩ = 2.3 (Erb et al. 2006) MS galaxies, respectively. The green line is a fit to the KS relation considering only MS galaxies, i.e., our measurements together with the K98 normal local galaxy average (turquoise dot). Right: comparison of our MS-only KS relation to the global fit of K98, the MS-only (long dashed blue line) and starburst-only (dotted blue line) fits of Genzel et al. (2010). Open circles show our measurements, with symbol size increasing with redshift and color-coded by stellar masses.