OP, I'm guessing that if your friends genuinely care that you're doing this, then you guys are still in school. Quite frankly, it's none of their business, do what you want, it's on your conscience whether you think it's right or wrong (although I think you are in the right).
I can...
An "estimate" would usually imply a reasonably accurate guess. Whereas a "guess" has no such connotation. "Guesstimate" is sort of a half-way thing.
EDIT: OT - when people reference Portal memes.
This really isn't that ambiguous. Studying for a masters degree in Maths here and my mind is being blown by the people doing degree-level mathematics who insist the answer is 2.
It's definitely 288.
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