Top: maximum of the mode velocity V_max as a function of L/M. The filled circles correspond to the MS stars observed in Doppler velocity from the ground and the red line to the power law of the form (L/M)^0.7 obtained by Samadi et al. (2007) using 3D models of MS stars. The blue squares correspond to the theoretical V_max derived according to Eq. (9) (see Sect. 3.2). The red square corresponds to the median value of the theoretical V_max and the associated vertical bar corresponds to bias introduced by the 1-σ error associated with the parameters p, s, , and ℳ₀ (Eq. (8)). Bottom: same as top as a function of ν_max.