2 Dataset Name: Roszman1 (Roszman1.dat)
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5 Starting Values (lines 41 to 44)
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6 Certified Values (lines 41 to 49)
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7 Data (lines 61 to 85)
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9 Procedure: Nonlinear Least Squares Regression
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11 Description: These data are the result of a NIST study involving
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12 quantum defects in iodine atoms. The response
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13 variable is the number of quantum defects, and the
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14 predictor variable is the excited energy state.
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15 The argument to the ARCTAN function is in radians.
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17 Reference: Roszman, L., NIST (19??).
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18 Quantum Defects for Sulfur I Atom.
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25 Data: 1 Response (y = quantum defect)
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26 1 Predictor (x = excited state energy)
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28 Average Level of Difficulty
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31 Model: Miscellaneous Class
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32 4 Parameters (b1 to b4)
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34 pi = 3.141592653589793238462643383279E0
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35 y = b1 - b2*x - arctan[b3/(x-b4)]/pi + e
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38 Starting Values Certified Values
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40 Start 1 Start 2 Parameter Standard Deviation
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41 b1 = 0.1 0.2 1.20196866396E-0 1.9172666023E-02
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42 b2 = -0.00001 -0.000005 -6.1953516256E-06 3.2058931691E-06
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43 b3 = 1000 1200 1.2044556708E+03 7.4050983057E+01
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44 b4 = -100 -150 -1.8134269537E+02 4.9573513849E+01
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46 Residual Sum of Squares: 4.9484847331E-04
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47 Residual Standard Deviation: 4.8542984060E-03
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48 Degrees of Freedom: 21
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49 Number of Observations: 25
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