Usually when you add the "y" (ee) sound to a word, it makes it sound more cutesy and less offensive. "ie" is another spelling with the same sound. You do this with nicknames. For example, your name could be George. Your mom might call you "Georgie". Or if it's John, she might call you "Johnny". That sound makes it sweeter and softer. Same with "dummy". It doesn't have a direct correlation with a word that doesn't have the "y" (ee) sound. (Although, sometimes you'll see teenagers and young adults on the Internet calling animals or people affectionately "dumb" in a different way than seems correct i.e. "You're a dumb". That's just slang.)
If you were to outright say, "You're dumb!" that would cause some offense in all age groups. Same for if you said, "You're an idiot!" or "You're stupid". All three of those are a bit different, but are on the same continuum of meaning.