If you know the cost estimating relationships (CERs) regression is a better method, but if you don't the neural network is the appropiate toll to select the CER for regression.
Read:
http://scholar.google.com/scholar?hl=en&lr=&q=cache:aLOpDudTY2AJ:www.eng.auburn.edu/users/aesmith/postscript/tony.pdf++%22predictive+modeling%22
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