Yes. If the IV is categorical this is MANOVA. IF continuous This is Multivariate regression. If both, It is  MANCOVA. The number of DVs depends on your research design. See the attached for a basic introduction. Best wishes, David 

Daniel -

I think that this is conceivable.  One might, for example, relate farmland acreage in use one year to farmland acreage in another year, or else perhaps to corn acreage the same year.  In each case, a baseline census year of farm acreage (per farm) is the one regressor/independent variable.

This would have no theoretical limit, though practical examples with even a few dependent variables with the same independent variable would be hard to find I think.

Cheers - Jim

PS - You could have one piece of information on a kind of factory, indicating factory size, and use that as a regressor for each of several types of output (dependent) variables.  It would be related more strongly (higher correlation) for some dependent variables than for others.  However, if you had good size samples for each dependent variable, appropriately stratified/grouped, then you would only need a census for the one independent variable.  

Yes. It is much better if you apply Structural Equation Modeling method for your research

Wan, Given that you know nothing about his research I can't believe you suggested SEM over anything else. You should at least Know the research question prior to making a suggestion like this. Best, David