Empirical relations between the neutrino and photon fluxes derived from the model results. We show the total predicted muon neutrino flux from each source in the sample, plotted against the total photon flux in the range 0.1–100 GeV (upper left), 0.1–10 MeV (upper right), 0.1–100 keV (lower left), and in the optical range, 380–750 nm (lower right). The best-fit power-law relations are shown as black lines, and the corresponding relations are given in the upper right. Below, we report the p-value of the corresponding Pearson correlation test.