Evolution of the specific SFR and the “starburstiness” with redshift for X-ray selected AGNs with long wavelength information. The dashed vertical lines refer to the redshift bins of Table 1, the solid line in panel a) is the expected main sequence sSFR according to Eq. (4), and the grey areas denote the limits of the starburst and quiescent areas. Their borders are double and half the main-sequence sSFR, according to Elbaz et al. (2011). Green crosses mark the positions of X-ray QSOs having intrinsic L_{2−10   keV} > 10⁴⁴   erg   s^-1. In panel b), the solid lines and respective data-points are the running means of the “starburstiness” for X-ray AGNs and QSOs in the “broad” AGN sample, and the dashed lines are the running means of the “complete” X-ray AGN sample (see Sect. 3.3). There is a general trend for the sSFR of AGN hosts to follow the main sequence, so that the median “starburstiness” is constant with redshift. The QSO hosts on the other hand have sSFRs which are somewhat higher.