All of the estimated 450,000 Massachusetts residents who get health insurance through the Health Connector or MassHealth — some of whom have been in a confusing phase of temporary coverage this year — will soon begin the process of applying for coverage for 2015. If the state's new health insurance website is up and running — which the Patrick administration promises it will be — then residents will be able to beginning applying online Nov. 15. If the website still isn't working, or using a computer isn't convenient, then you'll have to fill out a paper application. Either way, you might want to keep a copy of this timeline handy through January.