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0001 NIST/ITL StRD 0002 Dataset Name: Eckerle4 (Eckerle4.dat) 0003 0004 File Format: ASCII 0005 Starting Values (lines 41 to 43) 0006 Certified Values (lines 41 to 48) 0007 Data (lines 61 to 95) 0008 0009 Procedure: Nonlinear Least Squares Regression 0010 0011 Description: These data are the result of a NIST study involving 0012 circular interference transmittance. The response 0013 variable is transmittance, and the predictor variable 0014 is wavelength. 0015 0016 0017 Reference: Eckerle, K., NIST (197?). 0018 Circular Interference Transmittance Study. 0019 0020 0021 0022 0023 0024 0025 Data: 1 Response Variable (y = transmittance) 0026 1 Predictor Variable (x = wavelength) 0027 35 Observations 0028 Higher Level of Difficulty 0029 Observed Data 0030 0031 Model: Exponential Class 0032 3 Parameters (b1 to b3) 0033 0034 y = (b1/b2) * exp[-0.5*((x-b3)/b2)**2] + e 0035 0036 0037 0038 Starting values Certified Values 0039 0040 Start 1 Start 2 Parameter Standard Deviation 0041 b1 = 1 1.5 1.5543827178E+00 1.5408051163E-02 0042 b2 = 10 5 4.0888321754E+00 4.6803020753E-02 0043 b3 = 500 450 4.5154121844E+02 4.6800518816E-02 0044 0045 Residual Sum of Squares: 1.4635887487E-03 0046 Residual Standard Deviation: 6.7629245447E-03 0047 Degrees of Freedom: 32 0048 Number of Observations: 35 0049 0050 0051 0052 0053 0054 0055 0056 0057 0058 0059 0060 Data: y x 0061 0.0001575E0 400.000000E0 0062 0.0001699E0 405.000000E0 0063 0.0002350E0 410.000000E0 0064 0.0003102E0 415.000000E0 0065 0.0004917E0 420.000000E0 0066 0.0008710E0 425.000000E0 0067 0.0017418E0 430.000000E0 0068 0.0046400E0 435.000000E0 0069 0.0065895E0 436.500000E0 0070 0.0097302E0 438.000000E0 0071 0.0149002E0 439.500000E0 0072 0.0237310E0 441.000000E0 0073 0.0401683E0 442.500000E0 0074 0.0712559E0 444.000000E0 0075 0.1264458E0 445.500000E0 0076 0.2073413E0 447.000000E0 0077 0.2902366E0 448.500000E0 0078 0.3445623E0 450.000000E0 0079 0.3698049E0 451.500000E0 0080 0.3668534E0 453.000000E0 0081 0.3106727E0 454.500000E0 0082 0.2078154E0 456.000000E0 0083 0.1164354E0 457.500000E0 0084 0.0616764E0 459.000000E0 0085 0.0337200E0 460.500000E0 0086 0.0194023E0 462.000000E0 0087 0.0117831E0 463.500000E0 0088 0.0074357E0 465.000000E0 0089 0.0022732E0 470.000000E0 0090 0.0008800E0 475.000000E0 0091 0.0004579E0 480.000000E0 0092 0.0002345E0 485.000000E0 0093 0.0001586E0 490.000000E0 0094 0.0001143E0 495.000000E0 0095 0.0000710E0 500.000000E0