1NIST/ITL StRD
2Dataset Name:  Eckerle4          (Eckerle4.dat)
3
4File Format:   ASCII
5               Starting Values   (lines 41 to 43)
6               Certified Values  (lines 41 to 48)
7               Data              (lines 61 to 95)
8
9Procedure:     Nonlinear Least Squares Regression
10
11Description:   These data are the result of a NIST study involving
12               circular interference transmittance.  The response
13               variable is transmittance, and the predictor variable
14               is wavelength.
15
16
17Reference:     Eckerle, K., NIST (197?).
18               Circular Interference Transmittance Study.
19
20
21
22
23
24
25Data:          1 Response Variable  (y = transmittance)
26               1 Predictor Variable (x = wavelength)
27               35 Observations
28               Higher Level of Difficulty
29               Observed Data
30
31Model:         Exponential Class
32               3 Parameters (b1 to b3)
33
34               y = (b1/b2) * exp[-0.5*((x-b3)/b2)**2]  +  e
35
36
37
38          Starting values                  Certified Values
39
40        Start 1     Start 2           Parameter     Standard Deviation
41  b1 =     1           1.5         1.5543827178E+00  1.5408051163E-02
42  b2 =    10           5           4.0888321754E+00  4.6803020753E-02
43  b3 =   500         450           4.5154121844E+02  4.6800518816E-02
44
45Residual Sum of Squares:                    1.4635887487E-03
46Residual Standard Deviation:                6.7629245447E-03
47Degrees of Freedom:                                32
48Number of Observations:                            35
49
50
51
52
53
54
55
56
57
58
59
60Data:  y                x
61      0.0001575E0    400.000000E0
62      0.0001699E0    405.000000E0
63      0.0002350E0    410.000000E0
64      0.0003102E0    415.000000E0
65      0.0004917E0    420.000000E0
66      0.0008710E0    425.000000E0
67      0.0017418E0    430.000000E0
68      0.0046400E0    435.000000E0
69      0.0065895E0    436.500000E0
70      0.0097302E0    438.000000E0
71      0.0149002E0    439.500000E0
72      0.0237310E0    441.000000E0
73      0.0401683E0    442.500000E0
74      0.0712559E0    444.000000E0
75      0.1264458E0    445.500000E0
76      0.2073413E0    447.000000E0
77      0.2902366E0    448.500000E0
78      0.3445623E0    450.000000E0
79      0.3698049E0    451.500000E0
80      0.3668534E0    453.000000E0
81      0.3106727E0    454.500000E0
82      0.2078154E0    456.000000E0
83      0.1164354E0    457.500000E0
84      0.0616764E0    459.000000E0
85      0.0337200E0    460.500000E0
86      0.0194023E0    462.000000E0
87      0.0117831E0    463.500000E0
88      0.0074357E0    465.000000E0
89      0.0022732E0    470.000000E0
90      0.0008800E0    475.000000E0
91      0.0004579E0    480.000000E0
92      0.0002345E0    485.000000E0
93      0.0001586E0    490.000000E0
94      0.0001143E0    495.000000E0
95      0.0000710E0    500.000000E0
96