85 lines
2.6 KiB
Plaintext
85 lines
2.6 KiB
Plaintext
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NIST/ITL StRD
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Dataset Name: Lanczos2 (Lanczos2.dat)
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File Format: ASCII
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Starting Values (lines 41 to 46)
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Certified Values (lines 41 to 51)
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Data (lines 61 to 84)
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Procedure: Nonlinear Least Squares Regression
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Description: These data are taken from an example discussed in
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Lanczos (1956). The data were generated to 6-digits
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of accuracy using
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f(x) = 0.0951*exp(-x) + 0.8607*exp(-3*x)
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+ 1.5576*exp(-5*x).
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Reference: Lanczos, C. (1956).
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Applied Analysis.
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Englewood Cliffs, NJ: Prentice Hall, pp. 272-280.
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Data: 1 Response (y)
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1 Predictor (x)
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24 Observations
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Average Level of Difficulty
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Generated Data
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Model: Exponential Class
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6 Parameters (b1 to b6)
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y = b1*exp(-b2*x) + b3*exp(-b4*x) + b5*exp(-b6*x) + 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 = 1.2 0.5 9.6251029939E-02 6.6770575477E-04
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b2 = 0.3 0.7 1.0057332849E+00 3.3989646176E-03
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b3 = 5.6 3.6 8.6424689056E-01 1.7185846685E-03
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b4 = 5.5 4.2 3.0078283915E+00 4.1707005856E-03
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b5 = 6.5 4 1.5529016879E+00 2.3744381417E-03
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b6 = 7.6 6.3 5.0028798100E+00 1.3958787284E-03
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Residual Sum of Squares: 2.2299428125E-11
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Residual Standard Deviation: 1.1130395851E-06
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Degrees of Freedom: 18
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Number of Observations: 24
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Data: y x
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2.51340E+00 0.00000E+00
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2.04433E+00 5.00000E-02
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1.66840E+00 1.00000E-01
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1.36642E+00 1.50000E-01
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1.12323E+00 2.00000E-01
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9.26890E-01 2.50000E-01
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7.67934E-01 3.00000E-01
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6.38878E-01 3.50000E-01
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5.33784E-01 4.00000E-01
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4.47936E-01 4.50000E-01
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3.77585E-01 5.00000E-01
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3.19739E-01 5.50000E-01
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2.72013E-01 6.00000E-01
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2.32497E-01 6.50000E-01
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1.99659E-01 7.00000E-01
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1.72270E-01 7.50000E-01
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1.49341E-01 8.00000E-01
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1.30070E-01 8.50000E-01
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1.13812E-01 9.00000E-01
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1.00042E-01 9.50000E-01
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8.83321E-02 1.00000E+00
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7.83354E-02 1.05000E+00
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6.97669E-02 1.10000E+00
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6.23931E-02 1.15000E+00
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