Suppose we want to run a regression to find out if the average annual salary of public school teachers differs among three geographical regions in Country A with 51 states: (1) North (21 states) (2) South (17 states) (3) West (13 states). Say that the simple arithmetic average salaries are as follows: $24,424.14 (North), $22,894 (South), $26,158.62 (West). The arithmetic averages are different, but are they statistically different from each other? To compare the mean values, Analysis of Variance techniques can be used.