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learning_JSL
Level IV

need error bars in arithmetic space for for a linear regression conducted in in log space

Hi - I did a linear regression on log_turbidity (explanatory variable) vs log_ecoli (response variable) and am now trying to compute, and more importantly, understand intuitively, what my 95% confidence interval is in arithmetic space.  Specifically, I need error bars in arithmetic space to go along with my back transformed predicted ecoli values, but I'm not sure how to do and interpret this step.   (Note that my log-residuals are normally distributed.)  Thanks in advance!

10 REPLIES 10
learning_JSL
Level IV

Re: need error bars in arithmetic space for for a linear regression conducted in in log space

Super helpful MRB3855.  Thanks for the detailed explanation!