1 NIST/ITL StRD 2 Dataset Name: Eckerle4 (Eckerle4.dat) 3 4 File Format: ASCII 5 Starting Values (lines 41 to 43) 6 Certified Values (lines 41 to 48) 7 Data (lines 61 to 95) 8 9 Procedure: Nonlinear Least Squares Regression 10 11 Description: 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 17 Reference: Eckerle, K., NIST (197?). 18 Circular Interference Transmittance Study. 19 20 21 22 23 24 25 Data: 1 Response Variable (y = transmittance) 26 1 Predictor Variable (x = wavelength) 27 35 Observations 28 Higher Level of Difficulty 29 Observed Data 30 31 Model: 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 45 Residual Sum of Squares: 1.4635887487E-03 46 Residual Standard Deviation: 6.7629245447E-03 47 Degrees of Freedom: 32 48 Number of Observations: 35 49 50 51 52 53 54 55 56 57 58 59 60 Data: 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
