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Yes, that is.
Btw, this case w/ X=nothing can be generalized.
For example: y= x*\beta + e, where e ~_{iid} F(\theta) for a large class of probability distributions for the error term.
Suppose I got a new dataset in the mail today & wanna see which brand-name distribution in Distributions.jl best fits it.
Basically this is predicting Y given X=constant, except the prediction here is not a number but a (unconditional) distribution.
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