I doubt you'll ever see any robust relationship between CDC funding per capita and any measurable health outcome. Because very few people die of typhoid, typhus, yellow fever, etc. within the U.S.A. anymore, the public health bureaucracy has very little traditional public health to do. If they just kept watch at the border for new epidemics, e.g. SARS or Legionnaire's Disease, they'd be serving the public interest. Unfortunately, too many public health resources are spent on "epidemics" of personal choice, like obesity.