A general linear model (i.e. lm in R; PROC GLM in SAS) can be used for a continuous dependent variable and any number of continuous or categorical independent variables and their interactions. Usually ordinal independent variables are treated either as continuous or as categorical. ... If the data don't meet model assumptions, a generalized linear model may be appropriate.
Valentine Joseph Owan , the question asks about a model with a continuous dependent variable. Logistic regression would not be appropriate in this case.
Whenever the dependent is continuous and satisfied the classical LR assumptions. You can use LR to model it. However, in GLM case, the dependent variable do not have to be continuous but it can be count or categorical. Ofcourse, if it's categorical, then binary logistic regression model could be appropriate.