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Diffstat (limited to 'data/nist/Lanczos1.dat')
| -rw-r--r-- | data/nist/Lanczos1.dat | 84 |
1 files changed, 84 insertions, 0 deletions
diff --git a/data/nist/Lanczos1.dat b/data/nist/Lanczos1.dat new file mode 100644 index 0000000..8107320 --- /dev/null +++ b/data/nist/Lanczos1.dat @@ -0,0 +1,84 @@ +NIST/ITL StRD
+Dataset Name: Lanczos1 (Lanczos1.dat)
+
+File Format: ASCII
+ Starting Values (lines 41 to 46)
+ Certified Values (lines 41 to 51)
+ Data (lines 61 to 84)
+
+Procedure: Nonlinear Least Squares Regression
+
+Description: These data are taken from an example discussed in
+ Lanczos (1956). The data were generated to 14-digits
+ of accuracy using
+ f(x) = 0.0951*exp(-x) + 0.8607*exp(-3*x)
+ + 1.5576*exp(-5*x).
+
+
+Reference: Lanczos, C. (1956).
+ Applied Analysis.
+ Englewood Cliffs, NJ: Prentice Hall, pp. 272-280.
+
+
+
+
+Data: 1 Response (y)
+ 1 Predictor (x)
+ 24 Observations
+ Average Level of Difficulty
+ Generated Data
+
+Model: Exponential Class
+ 6 Parameters (b1 to b6)
+
+ y = b1*exp(-b2*x) + b3*exp(-b4*x) + b5*exp(-b6*x) + e
+
+
+
+ Starting values Certified Values
+
+ Start 1 Start 2 Parameter Standard Deviation
+ b1 = 1.2 0.5 9.5100000027E-02 5.3347304234E-11
+ b2 = 0.3 0.7 1.0000000001E+00 2.7473038179E-10
+ b3 = 5.6 3.6 8.6070000013E-01 1.3576062225E-10
+ b4 = 5.5 4.2 3.0000000002E+00 3.3308253069E-10
+ b5 = 6.5 4 1.5575999998E+00 1.8815731448E-10
+ b6 = 7.6 6.3 5.0000000001E+00 1.1057500538E-10
+
+Residual Sum of Squares: 1.4307867721E-25
+Residual Standard Deviation: 8.9156129349E-14
+Degrees of Freedom: 18
+Number of Observations: 24
+
+
+
+
+
+
+
+
+Data: y x
+ 2.513400000000E+00 0.000000000000E+00
+ 2.044333373291E+00 5.000000000000E-02
+ 1.668404436564E+00 1.000000000000E-01
+ 1.366418021208E+00 1.500000000000E-01
+ 1.123232487372E+00 2.000000000000E-01
+ 9.268897180037E-01 2.500000000000E-01
+ 7.679338563728E-01 3.000000000000E-01
+ 6.388775523106E-01 3.500000000000E-01
+ 5.337835317402E-01 4.000000000000E-01
+ 4.479363617347E-01 4.500000000000E-01
+ 3.775847884350E-01 5.000000000000E-01
+ 3.197393199326E-01 5.500000000000E-01
+ 2.720130773746E-01 6.000000000000E-01
+ 2.324965529032E-01 6.500000000000E-01
+ 1.996589546065E-01 7.000000000000E-01
+ 1.722704126914E-01 7.500000000000E-01
+ 1.493405660168E-01 8.000000000000E-01
+ 1.300700206922E-01 8.500000000000E-01
+ 1.138119324644E-01 9.000000000000E-01
+ 1.000415587559E-01 9.500000000000E-01
+ 8.833209084540E-02 1.000000000000E+00
+ 7.833544019350E-02 1.050000000000E+00
+ 6.976693743449E-02 1.100000000000E+00
+ 6.239312536719E-02 1.150000000000E+00
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