As others have replied yes the term was inspired by the rugby term but unlike a rugby coach who sets the teams strategy and game tactics, the scrum master in agile methodology is a tactical role that is focused on ensuring the team are observing agile ceremonies, sticking to their sprint commitments etc. What the team are doing and why is the responsibility of other roles like Product Managers who may also have Product Owners working closely with the teams whose responsibility is to have a prioritised backlog of items for the team to use as input to plan upcoming work. Usually there are higher level roles that set business level / market level strategy that gives guidance to Product Managers on where products should be focusing to meet specific business goals.