v₁₂(r) for the GALAXY and GROUP catalogues with the data points calculated from Eq. (2) and error bars from the square root of Eq. (12). The black, red dashed, and blue dashed lines are for Models 1, 2, and 3, respectively, by using Planck 2015 best-fitting cosmological parameters. The measured v₁₂(r) is separated into 14 bins, and the error bars between each bin are highly correlated.