Linear Regression and Bayesian Inference: An Astrophysics Perspective

An excellent graphic using real data to show the M-sigma relation. The image was taken from Martin-Navarro et al. 2018; https://www.researchgate.net/publication/322191037_Black-hole-regulated_star_formation_in_massive_galaxies

Pre-requisite: Imports

Part 1: Familiarization with the data

In this section, we are going to familiarize ourselves with the data. This portion will be so that we can all have a baseline understanding of the data.

Part 2: Data Analysis

In this section, we will explore how to use linear regression and bayesian inference to set estimates with errors on the parameters governing the M-sigma relation

coefficient of determination: 0.698146674681597 
$\alpha$ : -8.20E-01
$\beta$ : 3.91E+00

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Carter Rhea

Carter Rhea

PhD Student in Astrophysics at the University of Montreal working on machine learning in astronomy. Co-founder of cadena.ca