Etymology
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guesstimate (v.)

1902, a blending of guess (v.) and estimate (v.). Related: Guesstimated; guesstimating. As a noun from 1906.

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Definitions of guesstimate
1
guesstimate (v.)
estimate based on a calculation;
2
guesstimate (n.)
an estimate that combines reasoning with guessing;
Synonyms: guestimate
From wordnet.princeton.edu