extrapolate

transitive verb, intransitive verb extrapolated, extrapolating

1. Statistics to estimate or infer (a value, quantity, etc. beyond the known range) on the basis of certain variables within the known range, from which the estimated value is assumed to follow
2. to arrive at (conclusions or results) by hypothesizing from known facts or observations
3. to speculate as to consequences on the basis of (known facts or observations)