WidgeCorp is considering branching out into cold beverages. You have been asked to come up with a regression model to forecast monthly sales of cold beverages for the next year. Think about what variables you might include in your model. Please research about regression analysis, and provide detailed discussion about various types of regression including simple and multiple regression as well as linear and non-linear regression along with real world examples and at least three references. Also, explain how regression analysis and its methods can help Widge Corp with its cold beverage sales.