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