Investigating the best fitting empirical function between power and exponential ones

This paper has shown the limitation of the least squares method for finding power and exponential functions from empirical data. It has shown the method of equal sums the best to solve this problem. Criteria of chosen a best fitting empirical function between two or more other ones has been elaborated in this paper. Modified formula of the least square method to minimize errors generated when transforming power and exponential functions to linear ones has been established.