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Dataset Name: Kirby2 (Kirby2.dat)
File Format: ASCII
Starting Values (lines 41 to 45)
Certified Values (lines 41 to 50)
Data (lines 61 to 211)
Procedure: Nonlinear Least Squares Regression
Description: These data are the result of a NIST study involving
scanning electron microscope line with standards.
Reference: Kirby, R., NIST (197?).
Scanning electron microscope line width standards.
Data: 1 Response (y)
1 Predictor (x)
151 Observations
Average Level of Difficulty
Observed Data
Model: Rational Class (quadratic/quadratic)
5 Parameters (b1 to b5)
y = (b1 + b2*x + b3*x**2) /
(1 + b4*x + b5*x**2) + e
Starting values Certified Values
Start 1 Start 2 Parameter Standard Deviation
b1 = 2 1.5 1.6745063063E+00 8.7989634338E-02
b2 = -0.1 -0.15 -1.3927397867E-01 4.1182041386E-03
b3 = 0.003 0.0025 2.5961181191E-03 4.1856520458E-05
b4 = -0.001 -0.0015 -1.7241811870E-03 5.8931897355E-05
b5 = 0.00001 0.00002 2.1664802578E-05 2.0129761919E-07
Residual Sum of Squares: 3.9050739624E+00
Residual Standard Deviation: 1.6354535131E-01
Degrees of Freedom: 146
Number of Observations: 151
Data: y x
0.0082E0 9.65E0
0.0112E0 10.74E0
0.0149E0 11.81E0
0.0198E0 12.88E0
0.0248E0 14.06E0
0.0324E0 15.28E0
0.0420E0 16.63E0
0.0549E0 18.19E0
0.0719E0 19.88E0
0.0963E0 21.84E0
0.1291E0 24.00E0
0.1710E0 26.25E0
0.2314E0 28.86E0
0.3227E0 31.85E0
0.4809E0 35.79E0
0.7084E0 40.18E0
1.0220E0 44.74E0
1.4580E0 49.53E0
1.9520E0 53.94E0
2.5410E0 58.29E0
3.2230E0 62.63E0
3.9990E0 67.03E0
4.8520E0 71.25E0
5.7320E0 75.22E0
6.7270E0 79.33E0
7.8350E0 83.56E0
9.0250E0 87.75E0
10.2670E0 91.93E0
11.5780E0 96.10E0
12.9440E0 100.28E0
14.3770E0 104.46E0
15.8560E0 108.66E0
17.3310E0 112.71E0
18.8850E0 116.88E0
20.5750E0 121.33E0
22.3200E0 125.79E0
22.3030E0 125.79E0
23.4600E0 128.74E0
24.0600E0 130.27E0
25.2720E0 133.33E0
25.8530E0 134.79E0
27.1100E0 137.93E0
27.6580E0 139.33E0
28.9240E0 142.46E0
29.5110E0 143.90E0
30.7100E0 146.91E0
31.3500E0 148.51E0
32.5200E0 151.41E0
33.2300E0 153.17E0
34.3300E0 155.97E0
35.0600E0 157.76E0
36.1700E0 160.56E0
36.8400E0 162.30E0
38.0100E0 165.21E0
38.6700E0 166.90E0
39.8700E0 169.92E0
40.0300E0 170.32E0
40.5000E0 171.54E0
41.3700E0 173.79E0
41.6700E0 174.57E0
42.3100E0 176.25E0
42.7300E0 177.34E0
43.4600E0 179.19E0
44.1400E0 181.02E0
44.5500E0 182.08E0
45.2200E0 183.88E0
45.9200E0 185.75E0
46.3000E0 186.80E0
47.0000E0 188.63E0
47.6800E0 190.45E0
48.0600E0 191.48E0
48.7400E0 193.35E0
49.4100E0 195.22E0
49.7600E0 196.23E0
50.4300E0 198.05E0
51.1100E0 199.97E0
51.5000E0 201.06E0
52.1200E0 202.83E0
52.7600E0 204.69E0
53.1800E0 205.86E0
53.7800E0 207.58E0
54.4600E0 209.50E0
54.8300E0 210.65E0
55.4000E0 212.33E0
56.4300E0 215.43E0
57.0300E0 217.16E0
58.0000E0 220.21E0
58.6100E0 221.98E0
59.5800E0 225.06E0
60.1100E0 226.79E0
61.1000E0 229.92E0
61.6500E0 231.69E0
62.5900E0 234.77E0
63.1200E0 236.60E0
64.0300E0 239.63E0
64.6200E0 241.50E0
65.4900E0 244.48E0
66.0300E0 246.40E0
66.8900E0 249.35E0
67.4200E0 251.32E0
68.2300E0 254.22E0
68.7700E0 256.24E0
69.5900E0 259.11E0
70.1100E0 261.18E0
70.8600E0 264.02E0
71.4300E0 266.13E0
72.1600E0 268.94E0
72.7000E0 271.09E0
73.4000E0 273.87E0
73.9300E0 276.08E0
74.6000E0 278.83E0
75.1600E0 281.08E0
75.8200E0 283.81E0
76.3400E0 286.11E0
76.9800E0 288.81E0
77.4800E0 291.08E0
78.0800E0 293.75E0
78.6000E0 295.99E0
79.1700E0 298.64E0
79.6200E0 300.84E0
79.8800E0 302.02E0
80.1900E0 303.48E0
80.6600E0 305.65E0
81.2200E0 308.27E0
81.6600E0 310.41E0
82.1600E0 313.01E0
82.5900E0 315.12E0
83.1400E0 317.71E0
83.5000E0 319.79E0
84.0000E0 322.36E0
84.4000E0 324.42E0
84.8900E0 326.98E0
85.2600E0 329.01E0
85.7400E0 331.56E0
86.0700E0 333.56E0
86.5400E0 336.10E0
86.8900E0 338.08E0
87.3200E0 340.60E0
87.6500E0 342.57E0
88.1000E0 345.08E0
88.4300E0 347.02E0
88.8300E0 349.52E0
89.1200E0 351.44E0
89.5400E0 353.93E0
89.8500E0 355.83E0
90.2500E0 358.32E0
90.5500E0 360.20E0
90.9300E0 362.67E0
91.2000E0 364.53E0
91.5500E0 367.00E0
92.2000E0 371.30E0