MATHEMATICS, APPLIED 



#_#_•» CURVE AND SURFACE FITTING 



LEAST SQUARES CURVE FITTING IN TWO, THREE, AND 

 FOUR DIMENSIONS 



(COPY ON FILE AT NODC) 



LANGUAGE - FORTRAN I I 

 COMPUTER - CDC 3100 



DIRECTOR 



ATLANTIC OCEANOGRAPHIC LABORATORY 



BEDFORD INSTITUTE 



DARTMOUTH, NOVA SCOTIA, CANADA 



A GENERALIZED 2-DIMENS lONAL REGRESSION PROCEDURE 



LANGUAGE - ALGOL AND 

 FORTRAN IV 



COMPUTER - B5500 AND 

 IBM 7040 



ENABLES SELECTION OF BEST FIT OF A SET OF OBSERVATIONS WITHOUT REGEN- 

 ERATION OF LOWER ORDER COEFFICIENTS. USES THE MINIMIZATION PROPERTY 

 OF ORTHOGONAL FUNCTIONS. AUTHOR — JOHN R. DEMPSEY, NORTHERN NATURAL 

 GAS COMPANY. PUBLISHED 1966 AS 'COMPUTER CONTRIBUTION 2' WITH ALGOL 

 LANGUAGE LISTING. A FORTRAN VERSION HAS BEEN RUN ON THE IBM 7040. 



DR. DANIEL F. MERRIAM, EDITOR, COMPUTER CONTRIBUTIONS 

 KANSAS GEOLOGICAL SURVEY 

 THE UNIVERSITY OF KANSAS 

 LAWRENCE, KANSAS 66044 



GENERAL REGRESSION LANGUAGE - PL/1 



COMPUTER - IBM OS/360 

 (COPY ON FILE AT NODC) 



OBSERVATIONS MAY BE SELECTED BY GROUPS - UP TO 75 GROUPS ARE AllOwED. 

 THESE SELECTED OBSERVATIONS ARE TO BE USED TO COMPUTE SIMPLE CORRELA- 

 TIONS BETWEEN ALL PAIRS OF THE SELECTED VARIABLES. SOME OF THE COR- 

 RELATION COEFFICIENTS MAY BE FURTHER USED AS NORMAL EQUATION COEFFIC- 

 IENTS OR CONSTANTS FOR REGRESSION ANALYSES INVOLVING TWO OR MOrE OF 

 THESE VARIABLES. IF DESIRED, A DIFFERENT SUBSET OF OBSERVATIONS MAY 

 BE SELECTED TO COMPUTE RESIDUALS, STANDARD ERRORS OF PREDICTED VALUES, 

 ETC. EITHER CARDS OR TAPE MAY CONTAIN MOST OF THE DATA. IF TAPE IS 

 TO BE USED FOR THE OBSERVATION MATRIX, IT MUST HAVE BEEN CREATED BY A 

 DIFFERENT PROGRAM AND BE IN A SPECIAL PL/1 STREAM I/O FORMAT. 



U. S. GEOLOGICAL SURVEY 

 COMPUTER CENTER DIVISION 

 ATTN. RALPH EICHER, CHIEF 

 BRANCH OF SCIENTIFIC APPLICATIONS 

 WASHINGTON, D. C. 20242 



GRAPHIC SYSTEM FOR CURVE FITTING 



LANGUAGE - (NOT GIVEN) 

 COMPUTER - IBM 360/40 

 W/ IBM 2250 



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