Data Analytics is more technical centric than the other in terms of technical skillset as a data analyst would be doing hands-on data cleaning, data purging, finding correlations etc. A data analyst would love to dirty his hands on any of the latest tools out there and test his/her data on the tool and see what insights he/she can draw from it.
Business analytics, on the other hand, is a kind of more process-oriented / functional role where a business analyst would be looking into the day to day operations of the company. A CEO/CMO won’t understand what correlation is or what variables are really having a weight on the transform function, hence a business analyst. A business analyst should be able to interpret the data analyst terminologies and transom them to be presentable to their respective heads. A business analyst would also look into optimizing and would also be the one to call the shorts for upgrading/optimizing any models in the company/campaign.