Blame data/nist/Eckerle4.dat
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NIST/ITL StRD
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Dataset Name: Eckerle4 (Eckerle4.dat)
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File Format: ASCII
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Starting Values (lines 41 to 43)
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Certified Values (lines 41 to 48)
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Data (lines 61 to 95)
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Procedure: Nonlinear Least Squares Regression
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Description: These data are the result of a NIST study involving
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circular interference transmittance. The response
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variable is transmittance, and the predictor variable
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is wavelength.
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Reference: Eckerle, K., NIST (197?).
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Circular Interference Transmittance Study.
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Data: 1 Response Variable (y = transmittance)
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1 Predictor Variable (x = wavelength)
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35 Observations
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Higher Level of Difficulty
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Observed Data
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Model: Exponential Class
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3 Parameters (b1 to b3)
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y = (b1/b2) * exp[-0.5*((x-b3)/b2)**2] + e
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Starting values Certified Values
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Start 1 Start 2 Parameter Standard Deviation
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b1 = 1 1.5 1.5543827178E+00 1.5408051163E-02
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b2 = 10 5 4.0888321754E+00 4.6803020753E-02
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b3 = 500 450 4.5154121844E+02 4.6800518816E-02
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Residual Sum of Squares: 1.4635887487E-03
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Residual Standard Deviation: 6.7629245447E-03
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Degrees of Freedom: 32
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Number of Observations: 35
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Data: y x
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0.0001575E0 400.000000E0
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0.0001699E0 405.000000E0
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0.0002350E0 410.000000E0
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0.0003102E0 415.000000E0
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0.0004917E0 420.000000E0
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0.0008710E0 425.000000E0
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0.0017418E0 430.000000E0
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0.0046400E0 435.000000E0
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0.0065895E0 436.500000E0
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0.0097302E0 438.000000E0
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0.0149002E0 439.500000E0
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0.0237310E0 441.000000E0
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0.0401683E0 442.500000E0
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0.0712559E0 444.000000E0
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0.1264458E0 445.500000E0
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0.2073413E0 447.000000E0
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0.2902366E0 448.500000E0
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0.3445623E0 450.000000E0
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0.3698049E0 451.500000E0
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0.3668534E0 453.000000E0
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0.3106727E0 454.500000E0
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0.2078154E0 456.000000E0
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0.1164354E0 457.500000E0
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0.0616764E0 459.000000E0
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0.0337200E0 460.500000E0
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0.0194023E0 462.000000E0
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0.0117831E0 463.500000E0
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0.0074357E0 465.000000E0
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0.0022732E0 470.000000E0
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0.0008800E0 475.000000E0
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0.0004579E0 480.000000E0
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0.0002345E0 485.000000E0
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0.0001586E0 490.000000E0
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0.0001143E0 495.000000E0
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0.0000710E0 500.000000E0
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