I'm conducting a study on mental health terminology on social media for a group project. We have three interval DVs measured through likert scales and three IVs. The IVs are social media usage (categorical ordinal), age (interval) and gender (categorical nominal).
Currently, I am trying to run a power analysis but can't without first deciding the type of statistical test to run. I believe the appropriate test would be a multivariate multiple linear regression. Yet, others in my group believe a MANOVA is the right test for these variables.
As it is our first time conducting a study I was hoping someone more experienced might be able to offer their opinion and steer us in the right direction.