1 NIST/ITL StRD 2 Dataset Name: DanWood (DanWood.dat) 3 4 File Format: ASCII 5 Starting Values (lines 41 to 42) 6 Certified Values (lines 41 to 47) 7 Data (lines 61 to 66) 8 9 Procedure: Nonlinear Least Squares Regression 10 11 Description: These data and model are described in Daniel and Wood 12 (1980), and originally published in E.S.Keeping, 13 "Introduction to Statistical Inference," Van Nostrand 14 Company, Princeton, NJ, 1962, p. 354. The response 15 variable is energy radieted from a carbon filament 16 lamp per cm**2 per second, and the predictor variable 17 is the absolute temperature of the filament in 1000 18 degrees Kelvin. 19 20 Reference: Daniel, C. and F. S. Wood (1980). 21 Fitting Equations to Data, Second Edition. 22 New York, NY: John Wiley and Sons, pp. 428-431. 23 24 25 Data: 1 Response Variable (y = energy) 26 1 Predictor Variable (x = temperature) 27 6 Observations 28 Lower Level of Difficulty 29 Observed Data 30 31 Model: Miscellaneous Class 32 2 Parameters (b1 and b2) 33 34 y = b1*x**b2 + e 35 36 37 38 Starting values Certified Values 39 40 Start 1 Start 2 Parameter Standard Deviation 41 b1 = 1 0.7 7.6886226176E-01 1.8281973860E-02 42 b2 = 5 4 3.8604055871E+00 5.1726610913E-02 43 44 Residual Sum of Squares: 4.3173084083E-03 45 Residual Standard Deviation: 3.2853114039E-02 46 Degrees of Freedom: 4 47 Number of Observations: 6 48 49 50 51 52 53 54 55 56 57 58 59 60 Data: y x 61 2.138E0 1.309E0 62 3.421E0 1.471E0 63 3.597E0 1.490E0 64 4.340E0 1.565E0 65 4.882E0 1.611E0 66 5.660E0 1.680E0 67