Differences between the Monte Carlo simulated linear model parameters and the corresponding simulation inputs. The results are shown for bins in the ratio of the number of upper and lower limits on the x- and y-axes (R_x, L, R_x, U, R_y, L, and R_y, U) as well as for bins of the dispersion σ and of the size of the sample (see Sect. 3.2 for details). The blue lines show the median differences between the simulated, a, and input slopes, , and the orange lines show the same difference for the simulated intercept, b, and its input in the simulation, . The shaded intervals are the intervals between the 16th and 84th percentile in each bin.