How can I turn off responses to Calendar invites? When I accept or decline a meeting invite, Calendar automatically sends an email to the person that invited me to the meeting.

OS X 10.10.2 calendar app

How can I turn this off so that no response is sent?
This is not possible using Calendar.app, including both macOS (OS X) and iOS.

Your best bet is to submit feedback on Apple's website: https://www.apple.com/feedback/macos.html

If enough of us do it hopefully they'll add the functionality.