I had problems with battery all winter. Last time I drove it it ran fine

What is your question?

My 2001 Passat Volkswagon won't fire up. It makes a electrical noise from coolant casing to under manifold. I also found a hose only hooked up to the manifold and loose. Believe it's a vacuum hose. Can't find the other end to hook up 2 feet hose if tht. Prob 18 inch rubber hose off front of manifold. All its doing is makn a buzzing and electrical sound. Please help

What makes this problem better or worse?

Won't turn over.