NIST/ITL StRD

Dataset Name:  DanWood           (DanWood.dat)

File Format:   ASCII

               Starting Values   (lines 41 to 42)

               Certified Values  (lines 41 to 47)

               Data              (lines 61 to 66)

Procedure:     Nonlinear Least Squares Regression

Description:   These data and model are described in Daniel and Wood

               (1980), and originally published in E.S.Keeping, 

               "Introduction to Statistical Inference," Van Nostrand

               Company, Princeton, NJ, 1962, p. 354.  The response

               variable is energy radieted from a carbon filament

               lamp per cm**2 per second, and the predictor variable

               is the absolute temperature of the filament in 1000

               degrees Kelvin.

Reference:     Daniel, C. and F. S. Wood (1980).

               Fitting Equations to Data, Second Edition. 

               New York, NY:  John Wiley and Sons, pp. 428-431.

Data:          1 Response Variable  (y = energy)

               1 Predictor Variable (x = temperature)

               6 Observations

               Lower Level of Difficulty

               Observed Data

Model:         Miscellaneous Class

               2 Parameters (b1 and b2)

               y  = b1*x**b2  +  e

          Starting values                  Certified Values

        Start 1     Start 2           Parameter     Standard Deviation

  b1 =   1           0.7           7.6886226176E-01  1.8281973860E-02

  b2 =   5           4             3.8604055871E+00  5.1726610913E-02

Residual Sum of Squares:                    4.3173084083E-03

Residual Standard Deviation:                3.2853114039E-02

Degrees of Freedom:                                4

Number of Observations:                            6 

Data:  y              x

      2.138E0        1.309E0

      3.421E0        1.471E0

      3.597E0        1.490E0

      4.340E0        1.565E0

      4.882E0        1.611E0

      5.660E0        1.680E0