We modeled the effects of temperature, degree of polymerization, and surface coverage on the equilibrium structure of tethered poly(N-isopropylacrylamide) chains immersed in water. We employed a numerical self-consistent field theory where the experimental phase diagram was used as input to the theory. At low temperatures, the composition profiles are approximately parabolic and extend into the solvent. In contrast, at temperatures above the LCST of the bulk solution, the polymer profiles are collapsed near the surface. The layer thickness and the effective monomer fraction within the layer undergo what appears to be a first-order change at a temperature that depends on surface coverage and chain length. Our results suggest that as a result of the tethering constraint, the phase diagram becomes distorted relative to the bulk polymer solution and exhibits closed loop behavior. As a consequence, we find that the relative magnitude of the layer thickness change at 20 and 40 degreesC is a nonmonotonic function of surface coverage, with a maximum that shifts to lower surface coverage as the chain length increases in qualitative agreement with experiment.