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Confidence Intervals around Backtransformed Log-linear Regression

I indeed arrive at an expression that looks different. From $$ \sqrt{n}(e^{\hat{\beta}_1} - e^{\beta_1}) \to^d \mathcal{N}(0, e^{2\beta_1}\sigma^2) $$ we obtain, plugging in the estimator for $\beta_1$...
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Interpreation - Log tranformed dependant variable and model with square term of predictor (inverted U)

I think the following approach will work. Comments and suggestions would be greatly appreciated. Now, if I evaluate log(y1) = log(y) evaluated at ...
user917983's user avatar

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