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Refined prediction for linear regression models

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  • J. L. Hess
  • R. F. Gunst

Abstract

Adequate prediction of a response variable using a multiple linear regression model is shown in this article to be related to the presence of multicollinearities among the predictor variables. If strong multicollinearities are present in the data, this information can be used to determine when prediction is likely to be accurate. A region of prediction, R, is proposed as a guide for prediction purposes. This region is related to a prediction interval when the matrix of predictor variables is of full column rank, but it can also be used when the sample is undersized. The Gorman‐Toman ten‐variable data is used to illustrate the effectiveness of the region R.

Suggested Citation

  • J. L. Hess & R. F. Gunst, 1978. "Refined prediction for linear regression models," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 25(4), pages 715-725, December.
  • Handle: RePEc:wly:navlog:v:25:y:1978:i:4:p:715-725
    DOI: 10.1002/nav.3800250413
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