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draw 95% confidence limits for non significant regression lines

Paolo Piras 
Dear list,
I write for a surely trivial doubt about plotting 95% CI of regression lines. 
I saw that someone draw them even for non significant regression lines. I think that this is not correct 
as , in the majority of cases, Ho is that beta is not significantly different from 0 and consequently the observed beta is just due to chance.  
On the other hand one could argue that 95% CI limits are still informative about the distribution of the data. 

Thanks in advance for an opinion.
regards
paolo

Thread (10 messages)

Maas, Kendra plyr and mvabund, conceptual issue Oct 28 Maas, Kendra plyr and mvabund, conceptual issue Oct 28 Eduard Szöcs plyr and mvabund, conceptual issue Oct 29 Eduard Szöcs plyr and mvabund, conceptual issue Oct 29 Hadley Wickham plyr and mvabund, conceptual issue Oct 29 Hadley Wickham plyr and mvabund, conceptual issue Oct 29 Paolo Piras draw 95% confidence limits for non significant regression lines Oct 29 Maas, Kendra plyr and mvabund, conceptual issue Oct 29 Krzysztof Sakrejda plyr and mvabund, conceptual issue Oct 29 Maas, Kendra plyr and mvabund, conceptual issue Oct 29