Top panels: Relationship between the power-law index of the line-of-sight hot gas VSF and that of its three-dimensional counterpart. Middle (bottom) panels: Relationship between the power-law index m (amplitude v₀) of the line-of-sight, cold phase VSF, and the three-dimensional hot phase VSFm, respectively. The color of the points represents time, with values ranging from 0.9 to 4.0 Gyr. The columns show VSF values for all gas within radii of 12, 25, and 50 kpc (left to right). The dashed gray line indicates the identity relationship and should not be interpreted as an attempt to fit the data. The light blue shaded area represents the region of the parameter space where the measured power-law index of the VSF is steeper than the m = 1/3 power-law index predicted by the Kolmogorov theory.