1NIST/ITL StRD
2Dataset Name:  Chwirut2          (Chwirut2.dat)
3
4File Format:   ASCII
5               Starting Values   (lines 41 to  43)
6               Certified Values  (lines 41 to  48)
7               Data              (lines 61 to 114)
8
9Procedure:     Nonlinear Least Squares Regression
10
11Description:   These data are the result of a NIST study involving
12               ultrasonic calibration.  The response variable is
13               ultrasonic response, and the predictor variable is
14               metal distance.
15
16
17
18Reference:     Chwirut, D., NIST (197?).
19               Ultrasonic Reference Block Study.
20
21
22
23
24
25Data:          1 Response  (y = ultrasonic response)
26               1 Predictor (x = metal distance)
27               54 Observations
28               Lower Level of Difficulty
29               Observed Data
30
31Model:         Exponential Class
32               3 Parameters (b1 to b3)
33
34               y = exp(-b1*x)/(b2+b3*x)  +  e
35
36
37
38          Starting values                  Certified Values
39
40        Start 1     Start 2           Parameter     Standard Deviation
41  b1 =   0.1         0.15          1.6657666537E-01  3.8303286810E-02
42  b2 =   0.01        0.008         5.1653291286E-03  6.6621605126E-04
43  b3 =   0.02        0.010         1.2150007096E-02  1.5304234767E-03
44
45Residual Sum of Squares:                    5.1304802941E+02
46Residual Standard Deviation:                3.1717133040E+00
47Degrees of Freedom:                                51
48Number of Observations:                            54
49
50
51
52
53
54
55
56
57
58
59
60Data:  y             x
61      92.9000E0     0.500E0
62      57.1000E0     1.000E0
63      31.0500E0     1.750E0
64      11.5875E0     3.750E0
65       8.0250E0     5.750E0
66      63.6000E0     0.875E0
67      21.4000E0     2.250E0
68      14.2500E0     3.250E0
69       8.4750E0     5.250E0
70      63.8000E0     0.750E0
71      26.8000E0     1.750E0
72      16.4625E0     2.750E0
73       7.1250E0     4.750E0
74      67.3000E0     0.625E0
75      41.0000E0     1.250E0
76      21.1500E0     2.250E0
77       8.1750E0     4.250E0
78      81.5000E0      .500E0
79      13.1200E0     3.000E0
80      59.9000E0      .750E0
81      14.6200E0     3.000E0
82      32.9000E0     1.500E0
83       5.4400E0     6.000E0
84      12.5600E0     3.000E0
85       5.4400E0     6.000E0
86      32.0000E0     1.500E0
87      13.9500E0     3.000E0
88      75.8000E0      .500E0
89      20.0000E0     2.000E0
90      10.4200E0     4.000E0
91      59.5000E0      .750E0
92      21.6700E0     2.000E0
93       8.5500E0     5.000E0
94      62.0000E0      .750E0
95      20.2000E0     2.250E0
96       7.7600E0     3.750E0
97       3.7500E0     5.750E0
98      11.8100E0     3.000E0
99      54.7000E0      .750E0
100      23.7000E0     2.500E0
101      11.5500E0     4.000E0
102      61.3000E0      .750E0
103      17.7000E0     2.500E0
104       8.7400E0     4.000E0
105      59.2000E0      .750E0
106      16.3000E0     2.500E0
107       8.6200E0     4.000E0
108      81.0000E0      .500E0
109       4.8700E0     6.000E0
110      14.6200E0     3.000E0
111      81.7000E0      .500E0
112      17.1700E0     2.750E0
113      81.3000E0      .500E0
114      28.9000E0     1.750E0
115