1

          LEAST SQUARES PARAMETER ESTIMATION - Marquardt method


               DATA from file: Buffalo Bill  3.rend                   



               Number of PARAMETERS............. 2
               Number of FUNCTIONS.............. 1
               Number of independent VARIABLES.. 1
               Number of DATA POINTS............ 15
               Convergency limit................ 1.0E-15
                 Equal weights

               Starting parameters:

   1.000E+00 1.500E+00




                              D A T A   P O I N T S

  ---------------------------------------------------------------------------
    X1    Y1
  ---------------------------------------------------------------------------
    1    1.0000     .5640
    2    2.0000     .3710
    3    3.0000     .3610
    4    4.0000     .2850
    5    5.0000     .2880

    6    6.0000     .2500
    7    7.0000     .2190
    8    8.0000     .2030
    9    9.0000     .1990
   10   10.0000     .1980

   11   11.0000     .2090
   12   12.0000     .1630
   13   13.0000     .1680
   14   14.0000     .1700
   15   15.0000     .1410

  ---------------------------------------------------------------------------
1


                     Buffalo Bill  3.rend                   



          Estimates of the PARAMETERS     of their STANDARD DEVIATIONS


       1                1.3388279781        3.416E-01

       2                1.3501680958        7.559E-02




                         95 % confidence intervals

               half-width        lower limit - upper limit

        P(1)     7.365E-01        6.024E-01  -   2.075E+00

        P(2)     1.630E-01        1.187E+00  -   1.513E+00





     Principal component analysis of correlation matrix


     EIGENVALUE    P(1)    P(2)

        1.764 .707     .000

         .236-.707     .707




1


          Fit of the model at the actual data points



                    MEAN=2.5260E-01        VARIANCE= 1.220E-02

                RESIDUAL= 3.366E-04             FIT= 97.636%



                    Number of iterations............  5
                    Sum of squared residuals........4.039366E-03
                    Chi2 (if proper weights used)...*******
                    Reduced chi2 (if pr. weights)...*******
                    Number of degrees of freedom.... 13
                    Estimated weighted error........1.763E-02
                    Critical t (95 % confidence)....2.156
                    Goodness of overall fit......... 97.636%

             Calculated values of the model function and residuals
                       are listed in the file FIT.OUT



               Correlation matrix of the parameters


  P(1)  P(2)

     P(1)    1.000

     P(2)     .764    1.000






          Covariance matrix of the parameters


        P(1)        P(2)

   P(1)   1.1668E-01

   P(2)   1.9727E-02   5.7141E-03