We use quantum Monte Carlo simulations to calculate the magnetic and p
airing correlations of two-dimensional Hubbard sheets coupled by an in
terlayer hopping t(perpendicular to). We find that large t(perpendicul
ar to) reduces in-plane magnetic correlations despite the increased la
ttice coordination, and also see evidence for a crossover to a spin-li
quid phase where there is no long-range magnetic order in the ground s
tate. Superconducting correlations are reduced by the interlayer coupl
ing at the temperatures accessible to the simulations.