Answer by whuber for Interpret regression coefficients when independent...
Ordinarily, we interpret coefficients in terms of how the expected value of the response should change when we effect tiny changes in the underlying variables. This is done by differentiating the...
View ArticleAnswer by abalter for Interpret regression coefficients when independent...
Just as in linear regression it is common to view nonlinear factors such as $x_1^2$ or $x_1 \cdot x_2$ as individual covariates, similarly there is no reason why $x_3/x_1$ can't be a legitimate...
View ArticleAnswer by kms for Interpret regression coefficients when independent variable...
I suppose you could interpret the numerator and denominator with ratio.If your fraction increases by 1 unit, it means your numerator (x3) increased, if you fraction decreases by 1 unit, it means your...
View ArticleAnswer by kjetil b halvorsen for Interpret regression coefficients when...
For a more useful answer you should tell us more about your real application. As the question only seems to be about the role of a ratio variable $x \in [0,1]$, so I simplify the question by removing...
View ArticleInterpret regression coefficients when independent variable is a ratio
I am running an OLS regression of the form$$\log\left(Y\right)=x_0 + \log\left(x_1\right)\beta_1+x_2\beta_2 + \epsilon$$where the dependent variable Y and some independent variables are log...
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