TY  - JOUR
AU  - Dubeau, François 
AU  - Mir, Youness 
PY  - 2007
TI  - On Discrete Least Squares Polynomial Fit, Linear Spaces and Data Classification 
JF  - Journal of Mathematics and Statistics
VL  - 3
IS  - 4
DO  - 10.3844/jmssp.2007.222.227
UR  - https://thescipub.com/abstract/jmssp.2007.222.227
AB  - 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.