Curve Fitting via the Criterion of Least Squares (UMAP)

In this module students will: 1) construct scatter diagrams; 2) choose an appropriate function to fit specific data; 3) understand the underlying theory of the method of least squares; 4) use a computer program to do desired curve-fitting; and 5) use augmented matrix approach to solve simultaneous equations.

Table of Contents:

1. INTRODUCTION

2. SCATTER DIAGRAMS

3. THE LINE OF REGRESSION

4. COEFFICIENT OF CORRELATION

5. REGRESSION FOR LOGARITHMIC SCATTERS

6. REGRESSION FOR EXPONENTIAL SCATTERS

7. POLYNOMIAL SCATTERS

8. MODEL EXAM

9. ANSWERS TO MODEL EXAM

10. ANSWERS TO EXERCISES

APPENDIX