Urban legends about regression abound...Regression is much more than OLS linear or binary logistic regression.

Normally distributed data are not a requirement. Regression is not limited to modeling linear relationships. Data correlated across time or cross-sectionally can be accommodated, as can data from mixed distributions.

Some extensions of regression are able to simultaneously model multiple dependent variables of any data type - continuous, interval, ordinal, nominal and count. Some can include latent (unobserved) variables on either side of the equation.

For those with a basic background in regression, this book by two leading authorities, is an excellent next step.
https://www.crcpress.com/Generalized-Linear-Models-and-Extensions-Fourth-Edition/Hardin-Hilbe/p/book/9781597182256

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