Can linear regression rank a vector of inputs?

I'm comparing performance of neural networks to linear regression for several problems - some linear, some not - to make a point to some non DS folks.

One thing I can do with NN is give an n-dimensional vector where each vector component is continuous and get back an n-dimensional vector that ranks the values (I know this is trivial, but in context it matters). For example, input = [0.9, -0.6, 0.1] -> output [3, 1, 2]

I want to …

datascience linear regression regression