Bibliography for Least Squares Lines

unabridged

  1. Automatic Bayesian model averaging for linear regression and applications in Bayesian curve fitting.
    Liang, Faming; Truong, Young K.; Wong, Wing Hung
    Statist. Sinica 11 (2001), no. 4, 1005--1029, Math. Sci. Net.  
  2. Direction Dependence in a Regression Line.
    Dodge, Y.; Rousson, V.
    Communications in Statistics Theory and Methods, 2000, vol. 29, no. 9/10, pp. 1957, Ingenta.  
  3. On reporting uncertainties of the straight-line regression parameters.
    Giordano, J.L.
    European journal of physics, 1999, vol. 20, no. 5, pp. 343, Ingenta.  
  4. The best total least squares line in R3.
    Juki'c, Dragan; Scitovski, Rudolf; Ungar, Sime
    Proceedings of the 7th International Conference on Operational Research---KOI'98 (Rovinj), 311--316, Croatian Oper. Res. Soc., Osijek, 1999, Math. Sci. Net.  
  5. Visually Fitting a Least-Absolute-Deviation Regression Line.
    Hung, Rudy
    Chance, 1997, vol. 10, no. 3, pp. 53, Ingenta.  
  6. A state-space approach to polygonal line regression.
    Kashiwagi, Nobuhisa
    Annals of the institute of statistical mathematics, 1996, vol. 48, no. 2, pp. 215, Ingenta.  
  7. Least squares fitting of a straight line to a set of data points: II. Parameter variances.
    Sheth, C. V.; Ngwengwe, A.; Borcherds, P. H.
    European journal of physics, 1996, vol. 17, no. 6, pp. 322, Ingenta.  
  8. A search method to find the regression line that minimizes the weighted absolute deviation. (Chinese)  
    Li, Xian Fang  
    Math. Practice Theory 26 (1996), no. 3, 200--205, MathSciNet.  
  9. The determination of a "least quantile of squares regression line" for all quantiles.  
    Carrizosa, Emilio; Plastria, Frank  
    Comput. Statist. Data Anal. 20 (1995), no. 5, 467--479, MathSciNet.  
  10. Least squares fitting of a straight line to a set of data points.
    Borcherds, P.H.; Sheth, C.V.
    European journal of physics, 1995, vol. 16, no. 5, pp. 204, MathSciNet.  
  11. Total Least Squares: State-of-the-Art Regression in Numerical Analysis (in Classroom Notes)  
    Yves Nievergelt
    SIAM Review, Vol. 36, No. 2. (Jun., 1994), pp. 258-264, Jstor.  
  12. A Comparison of Block Pivoting and Interior-Point Algorithms for Linear Least Squares Problems with Nonnegative Variables  
    Luis F. Portugal, Joaquim J. Judice, Luis N. Vicente  
    Mathematics of Computation, Vol. 63, No. 208. (Oct., 1994), pp. 625-643, Jstor.  
  13. Some Effects of Ignoring Correlated Measurement Errors in Straight Line Regression and Prediction (in The Consultant's Forum)  
    G. Bruce Schaalje, Richard A. Butts  
    Biometrics, Vol. 49, No. 4. (Dec., 1993), pp. 1262-1267, Jstor.  
  14. The Least Squares Line without Calculus  
    Schaumberger, Norman  
    Pi mu epsilon journal, 1993, vol. 9, no. 8, pp. 540, Ingenta.  
  15. An Efficient Least Squares Algorithm for Line and Curve Fitting.
    Olagunju, Amos O.
    Journal of the elisha mitchell scientific societ, 1993, vol. 109, no. 1, pp. 62, Ingenta.  
  16. Remark AS R90: Least Squares Initial Values for the L1-Norm Fitting of a Straight Line-A Remark on Algorithm AS 238: A Simple Recursive Procedure for the L_1 Norm Fitting of a Straight Line (in Statistical Algorithms)  
    R. W. Farebrother  
    Applied Statistics, Vol. 41, No. 3. (1992), pp. 627-633, Jstor.  
  17. A robust method for regression lines. (Chinese)  
    Wei, Feng Rong  
    Math. Practice Theory 1992, no. 2, 78--85, MathSciNet.  
  18. Finding Least Squares Lines with Mathematica  
    John Mathews  
    PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, March 1991, Vol. I, No. 1, pp. 103-111.
  19. Comparison of structural and least-squares lines for estimating geologic relations.
    Williams, Garnett P.; Troutman, Brent M.
    Math. Geol. 22 (1990), no. 8, 1027--1049, Math. Sci. Net.  
  20. Recursive Estimation of a Polynomial Regression Line.
    Vishnevskiy, B.L.; Ruderman, A.L.
    Soviet journal of automation and information sciences, 1989, vol. 22, no. 2, pp. 62, Ingenta.  
  21. Simple methods for computing the least squares line in three dimensions.
    Kahn, Peter C.
    Computers & chemistry, 1989, vol. 13, no. 3, pp. 191, Ingenta.  
  22. Least Absolute Regression Revisited. A Simple Labeling method for Finding a Lar Line.
    Rech, P.; Schmidbauer, P.; Eng, J.
    Communications in statistics. simulation and co, 1989, vol. 18, no. 3, pp. 943--955, MathSciNet.  
  23. An accurate and straightforward approach to line regression analysis of error-affected experimental data.
    Neri, F.; Saitta, G.; Chiofalo, S.
    Journal of physics E, 1989, vol. 22, no. 4, pp. 215, Ingenta.  
  24. Orthogonal least-squares line fit with variable scaling.
    Miller, B. P.; Dunn, H. E.
    Computers in physics, 1988, vol. 2, no. 4, pp. 59, Ingenta.  
  25. The Smallest Perturbation of a Submatrix Which Lowers the Rank and Constrained Total Least Squares Problems  
    James Weldon Demmel  
    SIAM Journal on Numerical Analysis, Vol. 24, No. 1. (Feb., 1987), pp. 199-206, Jstor.  
  26. An efficient line search for nonlinear least squares.   
    Al-Baali, M.; Fletcher, R.   
    J. Optim. Theory Appl. 48 (1986), no. 3, 359--377, MathSciNet.  
  27. A Generalized Problem of Least Squares (in Notes)  
    Hung C. Li  
    American Mathematical Monthly, Vol. 91, No. 2. (Feb., 1984), pp. 135-137, Jstor.  
  28. An Analysis of the Total Least Squares Problem  
    Gene H. Golub, Charles F. Van Loan  
    SIAM Journal on Numerical Analysis, Vol. 17, No. 6. (Dec., 1980), pp. 883-893, Jstor.  
  29. A new method for linear curve fitting with both variables in error.
    Kaila, K. L.
    Sankhya Ser. B 42 (1980), no. 1-2, 81--97, Math. Sci. Net.  
  30. Fast Numerically Stable Computations for Generalized Linear Least Squares Problems  
    C. C. Paige  
    SIAM Journal on Numerical Analysis, Vol. 16, No. 1. (Feb., 1979), pp. 165-171, Jstor.  
  31. Computer Solution and Perturbation Analysis of Generalized Linear Least Squares Problems  
    C. C. Paige  
    Mathematics of Computation, Vol. 33, No. 145. (Jan., 1979), pp. 171-183, Jstor.  
  32. Fitting straight lines when both variables are subject to error. I. Maximum likelihood and least-squares estimation.  
    Jones, Thomas A.  
    J. Internat. Assoc. Math. Geol. 11 (1979), no. 1, 1--25, MathSciNet.  
  33. Multiple linear curve fitting.
    Whiten, W. J.
    J. Inst. Math. Appl. 23 (1979), no. 1, 61--71, Math. Sci. Net.  
  34. Algorithms for the Solution of the Nonlinear Least-Squares Problem  
    Philip E. Gill, Walter Murray  
    SIAM Journal on Numerical Analysis, Vol. 15, No. 5. (Oct., 1978), pp. 977-992, Jstor.  
  35. On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems  
    G. W. Stewart  
    SIAM Review, Vol. 19, No. 4. (Oct., 1977), pp. 634-662, Jstor.  
  36. Cones and Iterative Methods for Best Least Squares Solutions of Linear Systems  
    Abraham Berman, Robert J. Plemmons  
    SIAM Journal on Numerical Analysis, Vol. 11, No. 1. (Mar., 1974), pp. 145-154, Jstor.  
  37. Complex Linear Least Squares  
    Kenneth S. Miller  
    SIAM Review, Vol. 15, No. 4. (Oct., 1973), pp. 706-726, Jstor.  
  38. An Elimination Method for the Solution of Linear Least Squares Problems  
    A. K. Cline  
    SIAM Journal on Numerical Analysis, Vol. 10, No. 2. (Apr., 1973), pp. 283-289, Jstor.  
  39. A Note on Estimation in Straight Line Regression When Both Variables are Subject to Error (in Theory and Methods)  
    Max Halperin, Joan Gurian  
    Journal of the American Statistical Association, Vol. 66, No. 335. (Sep., 1971), pp. 587-589, Jstor.  
  40. Optimal curve fitting with piecewise linear functions.
    Cantoni, A.
    IEEE Trans. Computers C-20 (1971), 59--67, Math. Sci. Net.  
  41. Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems  
    Richard J. Hanson, Charles L. Lawson  
    Mathematics of Computation, Vol. 23, No. 108. (Oct., 1969), pp. 787-812, Jstor.  
  42. Least Squares Line by Graphical Method (in Classroom Notes)  
    J. B. Wilson  
    American Mathematical Monthly, Vol. 75, No. 7. (Aug. - Sep., 1968), pp. 773-775, Jstor.  
  43. Comparison of the Method of Averages with the Method of Least Squares  
    G. Dahlquist, B. Sjoberg, P. Svensson  
    Mathematics of Computation, Vol. 22, No. 104. (Oct., 1968), pp. 833-845, Jstor.  
  44. On comparing two simple linear regression lines.  
    Steffens, F. E.  
    South African Statist. J. 2 1968 33--53, MathSciNet.  
  45. Least-squares fitting of a straight line.  
    York, Derek  
    Canad. J. Phys. 44 1966 1079--1086, MathSciNet.  
  46. Smallest Least Squares Solutions of Linear Equations  
    E. E. Osborne  
    Journal of the Society for Industrial and Applied Mathematics: Series B, Numerical Analysis, Vol. 2, No. 2. (1965), pp. 300-307, Jstor.  
  47. Problem 62-5, A Least-Squares Solution of a Linear System (in Problems)  
    Franklin W. Diederich  
    SIAM Review, Vol. 4, No. 2. (Apr., 1962), p. 150, Jstor.  
  48. A Matrix Method for Least Squares (in Classroom Notes)  
    Curt Marcus  
    American Mathematical Monthly, Vol. 68, No. 8. (Oct., 1961), p. 793, Jstor.  
  49. 153 Note: Straight Line Regression through the Origin (in Queries and Notes)  
    Malcolm E. Turner  
    Biometrics, Vol. 16, No. 3. (Sep., 1960), pp. 483-485, Jstor.  
  50. Linear Curve Fitting Using Least Deviations  
    Otto J. Karst  
    Journal of the American Statistical Association, Vol. 53, No. 281. (Mar., 1958), pp. 118-132., Jstor.  
  51. Estimation of a Regression Line with Both Variables Subject to Error Under an Unusual Identification Condition (in Notes)  
    Herman Rubin  
    Annals of Mathematical Statistics, Vol. 29, No. 2. (Jun., 1958), pp. 606-608, Jstor.  
  52. A Short-Cut Graphic Method for Fitting the Best Straight Line to a Series of Points According to the Criterion of Least Squares  
    S. I. Askovitz  
    Journal of the American Statistical Association, Vol. 52, No. 277. (Mar., 1957), pp. 13-17, Jstor.  
  53. On regression lines. (Spanish)  
    Rios, Sixto  
    Trabajos Estadist. 8 (1957), 147--156, MathSciNet.  
  54. On Standard Error for the Line of Mutual Regression (in Notes)  
    Y. K. Wong  
    Annals of Mathematical Statistics, Vol. 7, No. 1. (Mar., 1936), pp. 47-50.
  55. A Coefficient of Linear Correlation Based on the Method of Least Squares and the Line of Best Fit  
    J. B. Coleman  
    Annals of Mathematical Statistics, Vol. 3, No. 2. (May, 1932), pp. 79-85, Jstor.  
  56. Formulas for the Fitting of Polynomials to Data by the Method of Least Squares  
    Harold T. Davis, Voris V. Latshaw  
    The Annals of Mathematics, 2nd Ser., Vol. 31, No. 1. (Jan., 1930), pp. 52-78, Jstor.  
  57. On a Short Method of Least Squares  
    Burton H. Camp  
    The Annals of Mathematics, 2nd Ser., Vol. 24, No. 2. (Dec., 1922), pp. 99-108, Jstor.  
  58. On a General Method of Determining the Successive Terms in a Skew Regression Line (in Miscellanea)  
    Karl Pearson  
    Biometrika, Vol. 13, No. 2/3. (Jul., 1921), pp. 296-300, Jstor.  
  59. A Problem in Least Squares  
    R. J. Adcock  
    The Analyst, Vol. 5, No. 2. (Mar., 1878), pp. 53-54, Jstor.  
  60. Proof of Some Remarkable Relations in the Method of Least Squares  
    Chas. H. Kummell  
    The Analyst, Vol. 7, No. 3. (May, 1880), pp. 84-88, Jstor.  
  61. On the History of the Method of Least Squares  
    Mansfield Merriman  
    The Analyst, Vol. 4, No. 2. (Mar., 1877), pp. 33-36, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003