guesstimate

[v. ges-tuh-meyt; n. ges-tuh-mit, -meyt] Informal.
verb (used with object), guesstimated, guesstimating.
1.
to estimate without substantial basis in facts or statistics.
noun
2.
an estimate arrived at by guesswork.
Also, guestimate.


Origin:
1935–40, Americanism; blend of guess and estimate

Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
guesstimate or informal guestimate
 
n
1.  an estimate calculated mainly or only by guesswork
 
vb
2.  to form a guesstimate of
 
guestimate or informal guestimate (ˈɡɛstɪˌmeɪt)
 
n
 
vb

Collins English Dictionary - Complete & Unabridged 10th Edition
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Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Example sentences
Then they would have inflation expectation at the point where an amortized
  benefit runs out as a guesstimate to tightening.
Guesstimate a word's meaning through contextual clues.
If you examine almost any government statistic or calculation more closely, you
  will find that it is a guesstimate.
Have each group come up with a group guesstimate for the number of pennies in
  the jar.
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