AGN fraction (L_IR(AGN)/L_IR) of the eFEDS–W4-X sample at 0.2 < z < 0.8 versus the point-source fraction of the i-band flux density . The black points represent the data. The blue dots with error bars represent the mean and standard deviation in each bin for the eFEDS–W4-X sources classified as X-ray type 1 AGN. The solid line and shaded region denote the best-fit relation and the 1σ uncertainty.