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Oct 16, 2014 at 21:10 comment added gung - Reinstate Monica @IHeartBeats, you might do better to ask that as a new question. Briefly, Greek letters are often used to represent the true values of the parameters, whereas adding hats (eg, $\beta$ vs $\hat\beta$) suggests the estimate of the parameter values that you got by analyzing your data.
Oct 16, 2014 at 17:30 comment added I Heart Beats For those of us new to statistical notation, would you mind adding a link to the proper/commonly accepted etiquette?
Oct 16, 2014 at 17:05 comment added whuber (+1) A warning for those familiar with regression who might be reading this: the material referenced in the question uses betas (without hats) to refer to the estimated coefficients rather than the model parameters and $\epsilon_i$ to refer to the residuals rather than the random components of the model. In that sense this answer is perfectly correct--but we ought to look askance at the reference material for so abusing a conventional notation!
Oct 16, 2014 at 16:42 vote accept I Heart Beats
Oct 16, 2014 at 16:28 history edited Karel Macek CC BY-SA 3.0
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Oct 16, 2014 at 16:17 comment added I Heart Beats I am confused. Is there an actual equation to calculate the residuals when a regression plane is used? Thank you.
Oct 16, 2014 at 16:13 history answered Karel Macek CC BY-SA 3.0