Hypothesis Driven vs. Data Driven Analytics

We're having an excellent discussion at the LinkedIn discussion group
Advanced Business Analytics, Data Mining and Predictive Modeling on the topic of
"Hypothesis Driven Vs. Data Driven Analysis - Which do you support? Throw it all in the black box (computational) and see what you get or lets define the problem and seek data to analyze (traditional)."

If you have thoughts or guidance on this, you ought to join us or comment here.