The best way to learn proper English is to read news report, and watch news on TV. Watching TV shows is a great way to learn casual English, slang words, understand culture reference and humor. If you have already watched these shows then you may recall the words used in the following dialogs.

Well, if it's not cholera,
then BASED on a quick Internet search...
The Big Bang Theory Season 4, Episode 2

Based on her years of experience
in money laundering, I suppose.
Breaking Bad Season 3, Episode 11

and then we can re-evaluate
BASED on our joint assets.
The Big Bang Theory Season 12, Episode 3

Based on the geometric progression...
The Big Bang Theory Season 2, Episode 9

Based on the premise that
"lumen" sounds like "lemon"?
The Big Bang Theory Season 12, Episode 14