If there is a linear relationship, it seems appropriate to think that there is a linear function that models the relationship giving us deeper understanding of the relationship and allow us to extrapo...If there is a linear relationship, it seems appropriate to think that there is a linear function that models the relationship giving us deeper understanding of the relationship and allow us to extrapolate values that were not explicitly measured in our collection of the data. In essence, such a function would enable us to make predictions about cases that were not explicitly studied. This section develops the ideas of constructing a linear function that is the best fit for the data at hand.