∑ It essentially determines the extent to which there is a linear relationship between a dependent variable and one or more independent variables. There are several advantages of these analyses, such as they can allow you to make better decisions that are beneficial for your businesses. At a minimum, it can ensure that any extrapolation arising from a fitted model is "realistic" (or in accord with what is known). i Y ) Sometimes the form of this function is based on knowledge about the relationship between − i 2 ^ {\displaystyle {\hat {\boldsymbol {\beta }}}} , then i {\displaystyle N