extrapolate

verb with object
extend the application of (a method or conclusion, especially one based on statistics) to an unknown situation by assuming that existing trends will continue or similar methods will be applicable:
«/» () «from/to»
e.g. the results cannot be extrapolated to other patient groups
e.g. no object : it is always dangerous to extrapolate from a sample.
estimate or conclude (something) by extrapolating:
e.g. attempts to extrapolate likely human cancers from laboratory studies.
Mathematics extend (a graph, curve, or range of values) by inferring unknown values from trends in the known data:
(); ()
e.g. (as adjective extrapolated) : a set of extrapolated values.

DERIVATIVES
extrapolative |-ˌlātiv| adjective
extrapolator |-ˌlātər| noun

ORIGIN
late 19th century: from extra- outside + a shortened form of interpolate.