Recent studies have demonstrated that smokers are more likely than nonsmokers to develop heart disease.
Conclusion
There’s a positive correlation between drinking caffeinated beverages and developing heart disease (i.e. people who drink caff beverages are more likely than those who don’t to develop heart disease)
Evidence
People who smoke are more likely than those who don’t to develop heart disease.
People who smoke are more likely than those who don’t to drink caff beverages.
Evaluation
This is a weird argument, because it’s not going from correlation to causality. It’s just trying to chain together correlations.
If is A is correlated with B, and A is correlated with C, is it fair to say that B is correlated with C?
It seems reasonable, but it doesn’t have to be true. Consider this example:
People who are friends with Jenny are more likely than those who aren’t to like Taylor Swift. (Maybe 80% of her friends like T-Swift, while only 40% of her non-friends do)
People who are friends with Jenny are more likely than those who aren't to go to Palomar High School. (Maybe 80% of her friends go to Palomar, whereas an insanely tiny fraction of the 8 billion strangers who aren't her friends go to Palomar).
Does this mean that People who like Taylor Swift are more likely than those who don’t to go to Palomar High School? No, we couldn’t possibly get that sort of data from the first two facts. Just because A is correlated with B and with C doesn’t mean that B is correlated with C.
Goal
Look for an answer that says you can’t assume a correlation between two traits that are each separately correlated with a given trait, or something that allows us to argue that people who drink caff beverages are not more likely than those who don’t to develop heart disease.