ceres-solver / ceres-solver / a3dde68770de810e0962e30575e6a810dff22650 / . / data / nist / DanWood.dat

NIST/ITL StRD | |

Dataset Name: DanWood (DanWood.dat) | |

File Format: ASCII | |

Starting Values (lines 41 to 42) | |

Certified Values (lines 41 to 47) | |

Data (lines 61 to 66) | |

Procedure: Nonlinear Least Squares Regression | |

Description: These data and model are described in Daniel and Wood | |

(1980), and originally published in E.S.Keeping, | |

"Introduction to Statistical Inference," Van Nostrand | |

Company, Princeton, NJ, 1962, p. 354. The response | |

variable is energy radieted from a carbon filament | |

lamp per cm**2 per second, and the predictor variable | |

is the absolute temperature of the filament in 1000 | |

degrees Kelvin. | |

Reference: Daniel, C. and F. S. Wood (1980). | |

Fitting Equations to Data, Second Edition. | |

New York, NY: John Wiley and Sons, pp. 428-431. | |

Data: 1 Response Variable (y = energy) | |

1 Predictor Variable (x = temperature) | |

6 Observations | |

Lower Level of Difficulty | |

Observed Data | |

Model: Miscellaneous Class | |

2 Parameters (b1 and b2) | |

y = b1*x**b2 + e | |

Starting values Certified Values | |

Start 1 Start 2 Parameter Standard Deviation | |

b1 = 1 0.7 7.6886226176E-01 1.8281973860E-02 | |

b2 = 5 4 3.8604055871E+00 5.1726610913E-02 | |

Residual Sum of Squares: 4.3173084083E-03 | |

Residual Standard Deviation: 3.2853114039E-02 | |

Degrees of Freedom: 4 | |

Number of Observations: 6 | |

Data: y x | |

2.138E0 1.309E0 | |

3.421E0 1.471E0 | |

3.597E0 1.490E0 | |

4.340E0 1.565E0 | |

4.882E0 1.611E0 | |

5.660E0 1.680E0 |