Indeed (version-specific).

With R 3.4.1 on linux, I get coefficients and residuals that are
numerically exact, F-statistic = NaN, p-value = NA, R-squared = NaN, etc.

All of which is what ought to happen, given that the response variable
(y) is not actually variable.


---JRG
John R. Gleason


On 09/06/2017 09:10 AM, S Ellison wrote:
>> I think what you're seeing is
>> https://en.wikipedia.org/wiki/Loss_of_significance.
> 
> Almost. 
> All the results in the OP's summary are reflections of finite precision in 
> the analytically exact solution, leading to residuals smaller than the double 
> precision limit. The summary is correctly warning that it's all potentially 
> nonsense, and indeed the only things you can trust are the coefficient values 
> (to within .Machine$double.eps or thereabouts)
> 
> Interestingly, though, my current version of R (3.4.0) gives numerically 
> exact coefficients (c(1,0) and identically zero standard errors.
> 
> So this particular example is apparently version-specific.
> 
> S Ellison
> 
> 
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