Linear regression and assumptions about response variable
9 Wikipedia states: Ordinary linear regression predicts the expected value of a given unknown quantity (the response variable, a random variable) as a linear combination of a set of observed values …
Linear model with log-transformed response vs. generalized linear …
In a generalized linear model, the mean is transformed, by the link function, instead of transforming the response itself. The two methods of transformation can lead to quite different results; for example, …
In linear regression, when is it appropriate to use the log of an ...
Aug 24, 2021 · If you log the independent variable x to base b, you can interpret the regression coefficient (and CI) as the change in the dependent variable y per b -fold increase in x. (Logs to base …
Interpretation of log transformed predictor and/or response
I'm wondering if it makes a difference in interpretation whether only the dependent, both the dependent and independent, or only the independent variables are log transformed. Consider the case of...
A regression in R with a categorical response variable
Mar 4, 2022 · I have a dataset with a categorical response variable (integers from 1 till 10) and numerical predictors (independent variables). I want to be able to predict the value (rank, perhaps) …
Residuals correlated positively with response variable strongly in ...
Apr 18, 2012 · The key is that the response variable = the estimated regression function + the residual, so it makes sense that the response variable would be positively correlated with the residual, since …
Assumptions of linear models and what to do if the residuals are not ...
I am a little bit confused on what the assumptions of linear regression are. So far I checked whether: all of the explanatory variables correlated linearly with the response variable. (This was th...
generalized linear model - modeling response variable that is ...
Apr 16, 2020 · This will automatically connect the response variable to the raw (untransformed) explanatory variables via a log-linear relationship, which means that you can interpret the coefficients …
In regression analysis what does taking the log of a variable do?
Here are 2 CV questions that you may want to read: interpretation-of-log-transformed-predictor & In linear regression when is it appropriate to use the log of an independent variable instead of the …
Modelling/Significance testing for a categorical response variable and ...
Jan 24, 2025 · A variable is ordinal if a) It is not continuous b) the levels are in an order and c) the gaps between levels cannot be assumed to be equal. Depending on how the response was created from …