LOS ANGELES — Relentless rain turned a mountain into mud, pushing an entire home south of San Francisco into the street. Homeowner John Futscher got out moments before it was too late.

“Mud started coming through the kitchen window and that’s when my wife, and my son and dog ran out of the house,” he said. Thirty-seven schools in Marin County were forced to close, with rain filling up creeks and spilling into streets.

“We have a lot of residents that are still in their residence and not able to get out,” said fire battalion chief Bret McTigue.

The continuous rain has pulled much of Northern California out of the drought, but NASA climatologist Bill Patzert says the rest of the West still has …