@article {10.3844/jmssp.2007.222.227, article_type = {journal}, title = {On Discrete Least Squares Polynomial Fit, Linear Spaces and Data Classification }, author = {Dubeau, François and Mir, Youness}, volume = {3}, year = {2007}, month = {Dec}, pages = {222-227}, doi = {10.3844/jmssp.2007.222.227}, url = {https://thescipub.com/abstract/jmssp.2007.222.227}, abstract = {The best discrete least squares polynomial fit to a data set is revisited. We point out some properties related to the best polynomial and precise the dimension of vector spaces encountered to solve the problem. Finally, we suggest a basic classification of data sets based on their increasing or decreasing trend, and on their convexity or concavity form.}, journal = {Journal of Mathematics and Statistics}, publisher = {Science Publications} }