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Sep 23, 2012 at 23:56 comment added Peter Flom That is weird, and reveals that people don't know elementary algebra.
Sep 23, 2012 at 23:53 comment added user14322 @Peter Thank you very much for your answer. The confusing point was that in every academic article that I read they elaborated that there was an inverted U-shaped relation, because the normal predictor was positive and significant and the squared term was negative and significant.
Sep 23, 2012 at 22:38 comment added rolando2 When I ran @Peter's code several times I sometimes got a pos. coeff. for centx and sometimes a neg. The fact that y ranged from about -25 to 5, whereas x was always pos., seems to help explain why the centx coeff. was sometimes neg.
Sep 23, 2012 at 21:35 history answered Peter Flom CC BY-SA 3.0