Extrapolate (verb)

1. To infer or estimate something unknown or not yet known from something known or already known.
2. To extend or expand upon a known trend or pattern to predict future events or outcomes.

Origin:

From the latin extra, meaning "outside", and polare, meaning "to extend".

Examples:

1. The scientists used data from the first three months of the study to extrapolate the likely results for the full year.
2. The economist extrapolated future economic trends based on the current data.
3. The meteorologist was able to extrapolate the path of the storm using data from weather balloons.
4. The engineer extrapolated the strength of the new material by comparing it to similar materials.
5. The researcher extrapolated the findings of the small study to the general population with caution.