37
Views
5
CrossRef citations to date
0
Altmetric
Teacher's Corner

An Interpretation of the Least Squares Regression Surface

&
Pages 120-123 | Received 01 Jul 1982, Published online: 12 Mar 2012

References

  • Adichie , J. N. 1967 . “Estimates of Regression Parameters Based on Rank Tests,” . Annals of Mathematical Statistics , 38 : 894 – 904 .
  • Berry , C. 1984 . “Least Squares Regression,” . The American Statistician , 38 : 161
  • Brown , B. M. 1980 . “Median Estimates in Simple Linear Regression,” . Australian Journal of Statistics , 22 : 154 – 165 .
  • Cook , R. D. 1977 . “Detection of Influential Observations in Linear Regression,” . Technometrics , 19 : 15 – 18 .
  • Draper , N. R. and Smith , H. 1981 . Applied Regression Analysis , New York : John Wiley .
  • Ehrenberg , A. S. C. 1983 . “Deriving the Least Squares Regression Equation,” . The American Statistician , 37 : 232
  • Hargreaves , C. P. 1984 . “Regression as a Weighted Average of Slopes,” . The American Statistician , 38 : 161 – 162 .
  • Hettmansperger , T. P. and McKean , J. W. 1977 . “A Robust Alternative Based on Ranks to Least Squares in Analyzing Linear Models,” . Technometrics , 19 : 275 – 284 .
  • Hettmansperger , T. P. and McKean , J. W. 1978 . “Statistical Inference Based on Ranks,” . Psychometrika , 43 : 69 – 80 .
  • Jaeckel , L. A. 1972 . “Estimating Regression Coefficients by Minimizing the Dispersion of the Residuals,” . Annals of Mathematical Statistics , 43 : 1449 – 1458 .
  • Sen , P. K. 1968 . “Estimates of the Regression Coefficient Based on Kendall's Tau,” . Journal of the American Statistical Association , 63 : 1379 – 1389 .
  • Sholz , F. W. 1977 . “Weighted Median Regression Estimates,” . Bulletin of the Institute of Mathematical Statistics , 6 : 44 (abst.)
  • Sievers , G. L. 1983 . “A Weighted Dispersion Function for Estimation in Linear Models,” . Communications in Statistics , 12 : 1161 – 1179 .
  • Theil , H. “A Rank-Invariant Method of Linear and Polynomial Regression Analysis, III,” . Proceedings, Konlijke Nederlandsche Akademie Wetenschappen . Vol. A53 , pp. 1397 – 1412 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.