[issue44151] Improve parameter names and return value ordering for linear_regression

[Steven D'Aprano]

Steven D'Aprano <steve+python at pearwood.info> added the comment:

> The ML world has collapsed on the terms X and y. (With that 
> capitalization).

I just googled for "ML linear regression" and there is no consistency in 
either the variable used or the parameters. But most seem to use 
lowercase x,y. Out of the top 6 links I checked, only one seems to use 
X,y and even there the y has a hat (circumflex) on it: X,ŷ.

More importantly, the ML community has no consistency about the 
parameters either. I see:

y = B0 + B1*x
ŷ = X W + b
y = a_0 + a_1 * x
y = m x + b
y = θ1 + θ2 x
y = b0 + b1 x

I'm going to give the URLs since the search page results are not 
reproducable from person to person. See below.

The bottom line here is that I don't think the ML community is going to 
give us much guidence here. And it's probably not our target user base 
either, which is more aimed at high school and undergraduate users of 
basic level statistics, not ML algorithms.

https://www.geeksforgeeks.org/ml-linear-regression/

https://ml-cheatsheet.readthedocs.io/en/latest/linear_regression.html

https://towardsdatascience.com/introduction-to-machine-learning-algorithms-linear-regression-14c4e325882a

https://machinelearningmastery.com/linear-regression-for-machine-learning/

https://www.analytixlabs.co.in/blog/linear-regression-machine-learning/

https://madewithml.com/courses/basics/linear-regression/

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