The versions I got working at the end were numba-0.17.0 (also 0.18.2) and llvmlite-0.2.2 (also 0.4.0). Here are the relevant dependencies and configuration options on Ubuntu and Fedora.
For Ubuntu 14.04 *Trusty)
sudo apt-get install zlib1g zlib1g-dev libedit libedit-dev llvm-3.8 llvm-3.8-dev llvm-dev
sudo pip install enum34 funcsigs
LLVM_CONFIG=/usr/bin/llvm-config-3.8 pip install llvmlite --user
LLVM_CONFIG=/usr/bin/llvm-config-3.8 pip install numba --user
For Ubuntu 14.10
sudo apt-get install zlib1g zlib1g-dev libedit libedit-dev llvm-3.5 llvm-3.5-dev llvm-dev
pip install enum34 funcsigs
LLVM_CONFIG=/usr/bin/llvm-config-3.5 pip install llvmlite
LLVM_CONFIG=/usr/bin/llvm-config-3.5 pip install numba
For Ubuntu 15.04
sudo apt-get install zlib1g zlib1g-dev libedit2 libedit-dev llvm-3.6 llvm-3.6-dev llvm-dev
pip install enum34 funcsigs
LLVM_CONFIG=/usr/bin/llvm-config-3.6 pip install llvmlite
LLVM_CONFIG=/usr/bin/llvm-config-3.6 pip install numba
For Fedora 21
yum install zlib zlib-devel libstdc++-devel libstdc++ libstdc++-static llvm-3.5.0 llvm-devel-3.5.0 libedit libedit-devel
pip install enum34 funcsigs
LLVM_CONFIG=/usr/bin/llvm-config pip install llvmlite
LLVM_CONFIG=/usr/bin/llvm-config pip install numba
Note: this was originally posted by the OP in the question—moved here to keep this fit for SO.
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