  Two-point functions of the scalar curvature for metric fluctuations on the
four-sphere are analysed. The two-point function for points separated by a
fixed distance and for metrics of fixed volume is calculated using spacetime
foam methods. This result can be used for comparison between the continuum
approach to quantum gravity and numerical quantum gravity on the lattice.
  Pacs numbers: 04.60.Gw, 04.60.Nc, 04.62.+v
