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- NIST/ITL StRD
- Dataset Name: Roszman1 (Roszman1.dat)
- File Format: ASCII
- Starting Values (lines 41 to 44)
- Certified Values (lines 41 to 49)
- Data (lines 61 to 85)
- Procedure: Nonlinear Least Squares Regression
- Description: These data are the result of a NIST study involving
- quantum defects in iodine atoms. The response
- variable is the number of quantum defects, and the
- predictor variable is the excited energy state.
- The argument to the ARCTAN function is in radians.
- Reference: Roszman, L., NIST (19??).
- Quantum Defects for Sulfur I Atom.
- Data: 1 Response (y = quantum defect)
- 1 Predictor (x = excited state energy)
- 25 Observations
- Average Level of Difficulty
- Observed Data
- Model: Miscellaneous Class
- 4 Parameters (b1 to b4)
- pi = 3.141592653589793238462643383279E0
- y = b1 - b2*x - arctan[b3/(x-b4)]/pi + e
- Starting Values Certified Values
- Start 1 Start 2 Parameter Standard Deviation
- b1 = 0.1 0.2 1.20196866396E-0 1.9172666023E-02
- b2 = -0.00001 -0.000005 -6.1953516256E-06 3.2058931691E-06
- b3 = 1000 1200 1.2044556708E+03 7.4050983057E+01
- b4 = -100 -150 -1.8134269537E+02 4.9573513849E+01
- Residual Sum of Squares: 4.9484847331E-04
- Residual Standard Deviation: 4.8542984060E-03
- Degrees of Freedom: 21
- Number of Observations: 25
- Data: y x
- 0.252429 -4868.68
- 0.252141 -4868.09
- 0.251809 -4867.41
- 0.297989 -3375.19
- 0.296257 -3373.14
- 0.295319 -3372.03
- 0.339603 -2473.74
- 0.337731 -2472.35
- 0.333820 -2469.45
- 0.389510 -1894.65
- 0.386998 -1893.40
- 0.438864 -1497.24
- 0.434887 -1495.85
- 0.427893 -1493.41
- 0.471568 -1208.68
- 0.461699 -1206.18
- 0.461144 -1206.04
- 0.513532 -997.92
- 0.506641 -996.61
- 0.505062 -996.31
- 0.535648 -834.94
- 0.533726 -834.66
- 0.568064 -710.03
- 0.612886 -530.16
- 0.624169 -464.17
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