This could be seen as an indirect indication that the SMBH of NGC3718 provides enough energy (through AGN feedback) to heat up the gas and cause the very good agreement between σ gas and σ*.
Having estimations for both the bulge luminosity and the stellar velocity dispersion, I use the M BH − M KS ,bulge and M BH −σ relations from Kormendy and Ho (2013) to calculate the SMBH mass,