extrapolation

This term describes the intellectual leap from known data to unknown territory. It carries a connotation of projection and estimation, often implying a degree of risk or uncertainty because it assumes that existing patterns will remain constant in the future or in different environments. In technical and statistical contexts, it is strictly distinguished from interpolation, which estimates values within a known range. While interpolation is generally seen as a safe filling of gaps, extrapolation is a speculative extension beyond the boundaries of observed evidence.