Col. (1) of Table 2 shows the results from an OLS estimationof this equation without covariates. The coefficient equals −0.152,consistent with the roughly 30-percentage-point drop in take-upbetween $2000 and $4000 depicted in Fig. 1. Cols. (2) and (3) showthat the result is robust to including basic controls—col. (3) includesthese controls and col. (2) re-estimates the col. (1) specification onthe col. (3) sample. These results suggest that price is uncorrelatedwith our control variables, as would be expected under randomassignment.