Can a mathematically sound prediction interval have a negative lower bound?

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Can a mathematically sound prediction interval have a negative lower bound?

I have used R to form a 95% prediction interval for the number of endemic species on an island. My lower bound is negative – is that mathematically sound? In the linear model used in the prediction interval, the data used are: Area Surface area of island, hectares DiscSC Distance from Santa Cruz, kilometres Elevation Elevation of higher point in metres and it is coded as such: selected.model <- lm(ES ~ Area + Elevation + DistSC + I(Elevation^2) + (Elevation:DistSC) + (A‌​rea:Elevation)) and...

Answer:

Mathematics are reality-agnostic. So your negative lower prediction band can certainly be mathematically...

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user42835 at Cross Validated Mark as irrelevant Undo

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