Good dog! Really, a dog like that is priceless. Careful though, coyotes are smart and they will lure a dog away from the house and near the other coyotes to kill for a sort of cannibalistic meal. My nephew lives in NM near Taos and they have this problem. He almost lost his golden retriever to the coyotes that were waiting.
I depends a lot on the dog. There are breads that even a pack will not take on. The true Husky, Malamute, Ikea, Russian wolf Hound (Borzoi), Ridgeback Hound, and all the breads that are bread to protect sheep, different members of the bully breads, Great Danes, mastiffs (all of them) can not be discounted. The Borzoi and ridgeback are more of a pack hunter. Golden retrievers are not known to be good fighting dog, never discount there heart or love for the family. There are a lot of mutts that are surprisingly good coyote dogs. I believe, that the guard dog breads are more likely to quite the chase early to return to his responsibility of the animals under its care. Others will not stop until the wolf or coyote is dispatched, if not called back.
I have several dogs in mind for myself, will decide at the time, I leave it to my higher power, Pit Bull, American Bull Dog, Australian Healer, Great Dane, mastiff, or American Mutt.