A Multiple Linear Regression Analysis on Mathematics Placement at The University of Tennessee, Knoxville

This paper looks at solving the least squares problem and then using that theory to solve a simple multiple regression analysis for placing students into mathematics courses at the University of Tennessee, Knoxville.

The first chapter is an introduction and a basic outline of the problem. Chapter 2 outlines the theory behind solving an actual least squares problem for both the general case and for the particular case of nonsingular matrices. Chapter 3 discusses assumptions that must be made when running the analysis.

In chapters 4 and 5 computers are discussed and software output is explained. Finally, Chapter 6 gives conclusions on the work. These conclusions can be viewed as successful or not by the reader, however, the analysis is both valid and yields interesting results.