Section 1. Elementary Matrix Algebra Section 2. Matrix Algebra and Multiple Linear Regression Section 3. Experimental Designs Section 4. Analytic Geometry Section 5. Regression Techniques Section 6. Linearity in Calibration Section 7. Collaborative Laboratory Studies Section 8. Analysis of Noise Section 9. Derivatives Section 10. Goodness of Fit Statistics Section 11. More About Linearity in Calibration Section 12. Connecting Chemometrics to Statistics Section 13. Limitations in Analytical Accuracy Section 14. Derivations of Principal Components Section 15. Clinical Data Reporting Section 16. Classical Least Squares (CLS) Section 17. Transfer of Calibrations Section 18. The Importance of Units of Measure Section 19. The Best Calibration Model Section 20. Statistics Section 21. Outliers Section 22. Spectral Transfer: Making Instruments Agree Section 23. Applying Standard Reference Materials Section 24. More About CLS