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+NIST/ITL StRD
+Dataset Name: MGH10 (MGH10.dat)
+
+File Format: ASCII
+ Starting Values (lines 41 to 43)
+ Certified Values (lines 41 to 48)
+ Data (lines 61 to 76)
+
+Procedure: Nonlinear Least Squares Regression
+
+Description: This problem was found to be difficult for some very
+ good algorithms.
+
+ See More, J. J., Garbow, B. S., and Hillstrom, K. E.
+ (1981). Testing unconstrained optimization software.
+ ACM Transactions on Mathematical Software. 7(1):
+ pp. 17-41.
+
+Reference: Meyer, R. R. (1970).
+ Theoretical and computational aspects of nonlinear
+ regression. In Nonlinear Programming, Rosen,
+ Mangasarian and Ritter (Eds).
+ New York, NY: Academic Press, pp. 465-486.
+
+Data: 1 Response (y)
+ 1 Predictor (x)
+ 16 Observations
+ Higher Level of Difficulty
+ Generated Data
+
+Model: Exponential Class
+ 3 Parameters (b1 to b3)
+
+ y = b1 * exp[b2/(x+b3)] + e
+
+
+
+ Starting values Certified Values
+
+ Start 1 Start 2 Parameter Standard Deviation
+ b1 = 2 0.02 5.6096364710E-03 1.5687892471E-04
+ b2 = 400000 4000 6.1813463463E+03 2.3309021107E+01
+ b3 = 25000 250 3.4522363462E+02 7.8486103508E-01
+
+Residual Sum of Squares: 8.7945855171E+01
+Residual Standard Deviation: 2.6009740065E+00
+Degrees of Freedom: 13
+Number of Observations: 16
+
+
+
+
+
+
+
+
+
+
+
+Data: y x
+ 3.478000E+04 5.000000E+01
+ 2.861000E+04 5.500000E+01
+ 2.365000E+04 6.000000E+01
+ 1.963000E+04 6.500000E+01
+ 1.637000E+04 7.000000E+01
+ 1.372000E+04 7.500000E+01
+ 1.154000E+04 8.000000E+01
+ 9.744000E+03 8.500000E+01
+ 8.261000E+03 9.000000E+01
+ 7.030000E+03 9.500000E+01
+ 6.005000E+03 1.000000E+02
+ 5.147000E+03 1.050000E+02
+ 4.427000E+03 1.100000E+02
+ 3.820000E+03 1.150000E+02
+ 3.307000E+03 1.200000E+02
+ 2.872000E+03 1.250000E+02