Exploring regression structure with graphics

R. Dennis Cook, Nate Wetzel, José D. Bermúdez, J. De La Horra, Frank Critchley, Michael Lavine, Ker Chau Li, R. E. McCulloch, Sally C. Morton, X. Shen, Sanford Weisberg, S. Zacks

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


We investigate the extent to which it may be possible to carry out a regression analysis using graphics alone, an idea that we refer to as graphical regression. The limitations of this idea are explored. It is shown that graphical regression is theoretically possible with essentially no constraints on the conditional distribution of the response given the predictors, but with some conditions on marginal distribution of the predictors. Dimension reduction subspaces and added variable plots play a central role in the development. The possibility of useful methodology is explored through two examples.

Original languageEnglish (US)
Pages (from-to)33-100
Number of pages68
Issue number1-2
StatePublished - Dec 1993
Externally publishedYes


  • Added variable plots
  • Dimension reduction subspaces
  • Graphical regression
  • Three-dimensional scatterplots
  • conditional independence

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


Dive into the research topics of 'Exploring regression structure with graphics'. Together they form a unique fingerprint.

Cite this