# Fitting Linear Relationships

## A History of the Calculus of Observations 1750–1900

• Richard William Farebrother
Book

Part of the Springer Series in Statistics book series (SSS)

1. Front Matter
Pages i-xii
2. Richard William Farebrother
Pages 1-8
3. Richard William Farebrother
Pages 9-22
4. Richard William Farebrother
Pages 23-31
5. Richard William Farebrother
Pages 33-47
6. Richard William Farebrother
Pages 49-67
7. Richard William Farebrother
Pages 69-81
8. Richard William Farebrother
Pages 83-90
9. Richard William Farebrother
Pages 91-104
10. Richard William Farebrother
Pages 105-130
11. Richard William Farebrother
Pages 131-149
12. Richard William Farebrother
Pages 151-162
13. Richard William Farebrother
Pages 163-189
14. Richard William Farebrother
Pages 191-205
15. Richard William Farebrother
Pages 207-216
16. Richard William Farebrother
Pages 217-231
17. Richard William Farebrother
Pages 233-241
18. Back Matter
Pages 243-273

### Introduction

This book is intended for students of mathematical statistics who are interested in the early history of their subject. It gives detailed algebraic descriptions of the fitting of linear relationships by the method of least squares (L ) and the related least absolute 2 deviations (L ) and minimax absolute deviations (Loo) procedures. These traditional line J fitting procedures are, of course, also addressed in conventional statistical textbooks, but the discussion of their historical background is usually extremely slight, if not entirely absent. The present book complements the analysis of these procedures given in S.M. Stigler'S excellent work The History of Statistics: The Quantification of Uncertainty before 1900. However, the present book gives a more detailed account of the algebraic structure underlying these traditional fitting procedures. It is anticipated that readers of the present book will obtain a clear understanding of the historical background to these and other commonly used statistical procedures. Further, a careful consideration of the wide variety of distinct approaches to a particular topic, such as the method of least squares, will give the reader valuable insights into the essential nature of the selected topic.

### Keywords

Curve fitting Fitting linear optimization mathematical statistics statistics

#### Authors and affiliations

• Richard William Farebrother
• 1
1. 1.Department of Economic StudiesVictoria University of ManchesterManchesterUK

### Bibliographic information

• DOI https://doi.org/10.1007/978-1-4612-0545-6
• Copyright Information Springer-Verlag New York, Inc 1999
• Publisher Name Springer, New York, NY
• eBook Packages
• Print ISBN 978-1-4612-6812-3
• Online ISBN 978-1-4612-0545-6
• Series Print ISSN 0172-7397
• Buy this book on publisher's site