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REPORT DOCUMENTATION PAGE 



READ INSTRUCTIONS 

 BEFORE COMPLETING FORM 



1. REPORT NUMBER 

 TP 83-1 



2. GOVT ACCESSION NO 



3. RECIPIENT'S CATALOG NUMBER 



4. TITLE (and Subtitle) 



FORCING REGRESSION THROUGH A GIVEN POINT 

 USING ANY FAMILIAR COMPUTATIONAL ROUTINE 



5. TYPE OF REPORT & PERIOD COVERED 



Technical Paper 



6. PERFORMING ORG. REPORT NUMBER 



7. AUTHORf»; 



Edward B. Hands 



8. CONTRACT OR GRANT NUMBERfsJ 



9. PERFORMING ORGANIZATION NAME AND ADDRESS 



Department of the Army 



Coastal Engineering Research Center (CEREN-GE) 



Kingman Building, Fort Belvoir, VA 22060 



D31677 



11. CONTROLLING OFFICE NAME AND ADDRESS 



Department of the Army 



Coastal Engineering Research Center 



Kingman Building, Fort Belvoir, VA 22060 



12. REPORT DATE 



March 1983 



13. NUMBER OF PAGES 

 20 



14. MONITORING AGENCY NAME & ADDRESSCff dllferent from Controlling Otilce) 



15. SECURITY CLASS, fof thla report) 



UNCLASSIFIED 



16. DISTRIBUTION STATEMENT (ol this Report) 



Approved for public release; distribution unlimited. 



17. DISTRIBUTION STATEMENT (of the abstract entered In Block SO, It different from Report) 



18. SUPPLEMENTARY NOTES 



19. KEY WORDS (Continue on revsraa aide If neceeaaiy and Identify by block number) 



Coastal engineering 

 Data analysis 



Prediction equations 

 Regression 



20. ABSTRACT CCanttmie an revermm eMe U racasaaiy and Identify by block number) 



This report describes a simple method for obtaining the prediction equation 

 best fit to all data points (in the least squares sense) while forcing an exact 

 fit at any known point. The decision to constrain the solution at a point 

 should be justified on theoretical grounds without appeal to data. Examples 

 are given. When required any familiar regression program can be forced to 

 select the best line through a given point by simply adjusting and extending 

 the data entry. All necessary changes to the program results (test statistics 

 and estimates of regression parameters) can be accomplished without modifying the 

 computer program. 



DD.' 



1473 



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