Scale-dependent correlation functions cor(⋅, ⋅|r)∕cor(⋅, ⋅) of (M_r, e), (M_r, m_st), (M_r, σ_v), (e, m_st), (e, σ_v), and (m_st, σ_v) calculated from the volume limited sample with 600 Mpc depth from the SDSS DR12 (thick solid line). The 1σ error bars around cor(⋅, ⋅|r) = cor(⋅, ⋅) are calculated from 50 galaxy samples with randomised marks. The exponential, Lorentz, and power-law fits, according to Eq. (8), are shown with a thin solid, dashed, and dotted line respectively. The thick blue dashed line shows the results for the alternative definition of the scale dependent correlation coefficients . The 1σ error bars for (not shown in the plot) show a very similar amplitude in comparison to the errors calculated for cor (⋅, ⋅|r).