Scaling relations. The black points indicate the data, the blue lines represent the fitted scaling relation at the median redshift. The dashed blue lines show the median scaling relation (solid blue line) plus or minus the intrinsic scatter σ_Y|Z. The shaded blue region encloses the 68.3% confidence region around the median due to uncertainties on the scaling parameters. The red line shows the self-similar prediction. Top panel: scaling between luminosity and temperature: l − t. Middle panel: scaling between gas mass and temperature: m_g − t. Bottom panel: scaling between luminosity and gas mass: l − m_g.