ABSTRACT

In the preceding chapter, we saw how simple linear regression can be used to explore the nature of the relationship between two continuous random variables. In particular, it allows us to predict or estimate the value of a response that corresponds to a given value of an explanatory variable. If knowing the value of a single explanatory variable improves our ability to predict the response, we might suspect that additional explanatory variables could be used to our advantage. To investigate the more complicated relationship among a number of different variables, we use a natural extension of simple linear regression analysis known as multiple regression.