94 lines
3.1 KiB
Plaintext
94 lines
3.1 KiB
Plaintext
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NIST/ITL StRD
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Dataset Name: MGH17 (MGH17.dat)
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File Format: ASCII
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Starting Values (lines 41 to 45)
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Certified Values (lines 41 to 50)
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Data (lines 61 to 93)
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Procedure: Nonlinear Least Squares Regression
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Description: This problem was found to be difficult for some very
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good algorithms.
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See More, J. J., Garbow, B. S., and Hillstrom, K. E.
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(1981). Testing unconstrained optimization software.
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ACM Transactions on Mathematical Software. 7(1):
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pp. 17-41.
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Reference: Osborne, M. R. (1972).
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Some aspects of nonlinear least squares
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calculations. In Numerical Methods for Nonlinear
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Optimization, Lootsma (Ed).
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New York, NY: Academic Press, pp. 171-189.
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Data: 1 Response (y)
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1 Predictor (x)
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33 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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5 Parameters (b1 to b5)
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y = b1 + b2*exp[-x*b4] + b3*exp[-x*b5] + 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 = 50 0.5 3.7541005211E-01 2.0723153551E-03
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b2 = 150 1.5 1.9358469127E+00 2.2031669222E-01
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b3 = -100 -1 -1.4646871366E+00 2.2175707739E-01
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b4 = 1 0.01 1.2867534640E-02 4.4861358114E-04
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b5 = 2 0.02 2.2122699662E-02 8.9471996575E-04
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Residual Sum of Squares: 5.4648946975E-05
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Residual Standard Deviation: 1.3970497866E-03
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Degrees of Freedom: 28
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Number of Observations: 33
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Data: y x
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8.440000E-01 0.000000E+00
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9.080000E-01 1.000000E+01
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9.320000E-01 2.000000E+01
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9.360000E-01 3.000000E+01
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9.250000E-01 4.000000E+01
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9.080000E-01 5.000000E+01
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8.810000E-01 6.000000E+01
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8.500000E-01 7.000000E+01
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8.180000E-01 8.000000E+01
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7.840000E-01 9.000000E+01
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7.510000E-01 1.000000E+02
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7.180000E-01 1.100000E+02
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6.850000E-01 1.200000E+02
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6.580000E-01 1.300000E+02
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6.280000E-01 1.400000E+02
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6.030000E-01 1.500000E+02
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5.800000E-01 1.600000E+02
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5.580000E-01 1.700000E+02
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5.380000E-01 1.800000E+02
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5.220000E-01 1.900000E+02
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5.060000E-01 2.000000E+02
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4.900000E-01 2.100000E+02
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4.780000E-01 2.200000E+02
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4.670000E-01 2.300000E+02
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4.570000E-01 2.400000E+02
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4.480000E-01 2.500000E+02
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4.380000E-01 2.600000E+02
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4.310000E-01 2.700000E+02
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4.240000E-01 2.800000E+02
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4.200000E-01 2.900000E+02
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4.140000E-01 3.000000E+02
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4.110000E-01 3.100000E+02
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4.060000E-01 3.200000E+02
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