Trump was by far the biggest story of 2015 in the United States, outshining anything Obama did. His favorability ratings did not change substantially from the time he became the Republican frontrunner to November 8, 2016. Everyone had an opinion of him by late July 2015. You are assuming Trump favorability and Obama favorability are independent variables. I doubt that's the case.
No, I'm assuming that the geographic distribution of both is
dependent on which regions of the country are more Democratic and more Republican, and that said distribution had changed from 2012 to 2015. I don't think that Trump's mere position as the plurality leader in the GOP primary field in the latter half of 2015 instantly caused Obama's job approval rating to rise in places where Trump was less popular than Generic R or drop in places where Trump was more popular than Generic R. That seems absurd to me.