(adsbygoogle = window.adsbygoogle || []).push({}); Finding the Uncertainty of the Slope Parameter of a Linear Regression

Suppose I have measurements [itex]x_i \pm \sigma_{xi}[/itex] and [itex]y_i \pm \sigma_{yi}[/itex] where [itex]\sigma[/itex] is the uncertainty in the measurement. If I use a linear regression to estimate the value of [itex]b[/itex] in [itex]y=a+bx[/itex], I'm struggling to find a straightforward way to compute the uncertainty of [itex]b[/itex] that arises from the measurement uncertainties. This seems like it should be a very common problem, so I'm not sure why I can't find a simple algorithm or formula.

Thank you for any advice.

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

Join Physics Forums Today!

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

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

# Finding the Uncertainty of the Slope Parameter of a Liner Regression

Loading...

Similar Threads - Finding Uncertainty Slope | Date |
---|---|

I Confusion over using integration to find probability | Jun 27, 2017 |

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

I Finding the average time with given probability | Apr 21, 2017 |

How do you find the uncertainty in a function of two variables? | Sep 30, 2012 |

Finding Uncertainty in a coefficient with a Chi Squared Test | Sep 8, 2010 |

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