One theory: Instagram and Facebook have hacked iOS to bypass the built-in bright red flashing 'recording' status bar and are recording your conversations constantly for their own benefit.
Another theory: At some point you looked at a web page that mentioned projectors, or you happen to be in a demo that frequently buys projectors, so you saw an ad for projectors.
I know which theory I'd buy. These conspiracy theories pop up constantly, they're quite tiring.