Example Background:  Typically, in the summer time as the temperature increases people are thirstier.  In the multiple regression example, we considered three numerical variables, temperature, water consumption, and mowing time.  For that example, we found the multiple regression model to be Water = - 122 + 1.51*Temperature + 12.5*Mowing Time.  Though this model might be sufficient, rounding errors may occur and the coefficients are not expressed in the same units. Thus using the example below, we might look for the standardized regression equation which will help eliminate these problems .  

    Multiple Regression Example: Assume that during a three-hour period spent outside, a person recorded the temperature and their water consumption and the time they spent mowing the grass. The experiment was conducted on 7 randomly selected days during the summer.  The data is shown in the table below with the temperature placed in increasing order.