11. Linear Regression and Multivariate Analysis

  1. Todd L. VanPool and
  2. Robert D. Leonard

Published Online: 20 APR 2011

DOI: 10.1002/9781444390155.ch11

Quantitative Analysis in Archaeology

Quantitative Analysis in Archaeology

How to Cite

VanPool, T. L. and Leonard, R. D. (2010) Linear Regression and Multivariate Analysis, in Quantitative Analysis in Archaeology, Wiley-Blackwell, Oxford, UK. doi: 10.1002/9781444390155.ch11

Publication History

  1. Published Online: 20 APR 2011
  2. Published Print: 22 NOV 2010

ISBN Information

Print ISBN: 9781405189514

Online ISBN: 9781444390155



  • linear regression and multivariate analysis;
  • measures of central tendency and dispersion - not characterizing all relationships, that interest archaeologists;
  • simplest straightforward multivariate method - linear regression, technique used in archaeology;
  • relationship between - a tree's age and number of tree rings;
  • US dollar and Mexican peso in spring of 2010 - and their relationship;
  • regression line, and relationship - between age and diastolic blood pressure;
  • functional relationship, meeting assumptions necessary for regression analysis;
  • constructing a regression equation - covariance between dependent and independent variables;
  • evaluating statistical significance of regression;
  • experimental sciences, and predictive power of regression - very useful


This chapter contains sections titled:

  • Constructing a Regression Equation

  • Evaluating the Statistical Significance of Regression

  • Using Regression Analysis to Predict Values

  • Confidence Limits around Ŷ for a Given Xi

  • Estimating X from Y

  • The Analysis of Residuals

  • Some Final Thoughts about Regression