Distribution of 95 GHz methanol luminosity or integrated intensity against properties of ATLASGAL clumps. In panels (a) to (e) total methanol isotropic luminosity is plotted against the bolometric luminosity, the FWHM clump mass, the luminosity-to-mass ratio, the dust temperature, and the mean H₂ FWHM volume density. In panel (f) the total integrated intensity of the 95 GHz methanol transition is plotted against the peak H₂ column density. The orange and purple triangles represent the ATLASGAL clumps that host masers and maser candidates, respectively. The orange solid lines and black dashed lines depict the least-squares fitting results for methanol masers and all methanol detections, respectively.