Correlation, Corr, plotted vs. for the two lowest intervals of . The correlation is averaged over . The left panel is the Metal (Met1) mocks and the right panel is for the data. As labeled, the correlation is calculated by subsampling (Eq. (13)), by assuming “independent forests” (Eq. (14), offset by 0.5 h^-1 Mpc for clarity), or by the mock-to-mock variation (Eq. (15)). Good agreement between the methods is seen, though the independent-forest method necessarily underestimates the correlation for Δr_⊥ ≠ 0. The differences between the mocks and the data reflect the differences in ξ_1d (Fig. 5).