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This question already has an answer here:

I have a positive asymmetric response variable in a regression model. One of the assumptions about linear model is that the stochastic component of the model is normally distributed. If I have a skewed response but my residuals are normally distributed could I use the linear model or I have to choose or a transformation or a GLM?

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marked as duplicate by gung regression Apr 2 '15 at 16:03

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

  • $\begingroup$ Could you clarify the distinctions you are making between "stochastic component," "response," and "residuals"? I think the answer to your question may rest on understanding these. $\endgroup$ – whuber Apr 2 '15 at 16:01
  • $\begingroup$ I think you will find the information you need in the linked thread. Please read it. If it isn't what you're want / you still have a question afterwords, come back here & edit your question to state what you learned & what you still need to know. Then we can provide the information you need without just duplicating material elsewhere that already didn't help you. $\endgroup$ – gung Apr 2 '15 at 16:05