As in Fig. 2, black symbols represent the observed modulation on the SDSS data. The blue line indicates the change in the quiescent fraction that could be expected because of the average halo mass dependence on orientation, which is much smaller than the reported one. Similarly, satellites along the minor axis are marginally closer to the central galaxy than along the major axis, leading to a negative and even weaker modulation, as shown by the red line. Error bars represent the best-fitting standard deviation, as described in the Methods.