The best way to lose is as a gentleman with good humor and a handshake.
But why give up? Sure, his Queen is more powerful but why not play it out and learn some end game techniques? Besides, your opponent might blunder and lose the Queen in a trade or or lose her outright. And you could always try for a stalemate, not impossible.
I was wondering this for awhile and decided to get some answers! Let's say it's your black king and rook vs white king and queen. It's the endgame so you know a white win is inevidable. Should you let the player checkmate you or resign? What is the best way to lose? If you get checkmated will it look like you didn't see it coming or wanted white to win "fair and squere"? If you resign will it look like you are a coward or knew it was impossible to win? Please, tell me your answers! Thanks and have fun! -Kingdom_Hearts