The objective of this appendix is to briefly review the theory of linear least-squares. Topics discussed include
The concept of linear least-squares solution.
Properties of the least-squares estimates.
Overcoming collinearity problems with principal component and partial least-squares regression.
The problem of finding a least-squares solution to a set of linear equations arises at a number of places in this text.
In process identification where we want to determine parameters in a linear model from empirical data.
In model-predictive control where we want to determine the control moves that will minimize the future deviations of the output ...