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 |