For a simple linear model:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]\alpha+\beta\times x=y[/itex]

If it is observed that [itex]y \in (-8.51,23.20) [/itex] given [itex]x=4[/itex]

The question is to give intervals of [itex]\alpha, \beta[/itex], which satisfy [itex]y \in (-8.51,23.20) [/itex] given [itex]x=4[/itex].

Is this problem identifiable? Can it be found the unique intervals for [itex]\alpha, \beta[/itex]?

I am guessing this is not a well defined problem. How to improve on this?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Find Interval for Coefficients

Loading...

Similar Threads - Find Interval Coefficients | Date |
---|---|

I How To Find 68% Confidence Interval After Running MCMC | May 29, 2017 |

Finding the MVUE of a two-sided interval of a normal | Apr 24, 2014 |

Find the 90% two-sided confidence interval for the mean score. | Mar 14, 2014 |

Help finding Confidence Intervals | Dec 11, 2013 |

How to find Confidence interval | Nov 13, 2013 |

**Physics Forums - The Fusion of Science and Community**