But the Iron side spurned a number of late chances to seal a win.
Laws said: "The mood in the changing room was very quiet, the players are down.
"They are feeling the same as me, that was a game we could have won. They are gutted.
"But there are positives. In the first 15 minutes Bournemouth bossed the game.
"But for the rest of the match I felt we were in charge and they never caused us any trouble."
Bournemouth caretaker boss praised goalscorer Anderton, who joined the south coast side on a pay-as-you-play deal on transfer deadline day.
He said: "We decided Darren was fit enough and we needed someone of his experience so it was an easy choice to make to play him.
"I thought he lasted the pace outstandingly and he deserved the ovation he got when he came off."