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In a multiple linear regression, why is it possible to have a highly significant F statistic (p<.001) but have very high p-values on all the regressor's t tests?

In my model, there are 10 regressors. One has a p-value of 0.1 and the rest are above 0.9

For dealing with this problem see the follow-up question follow-up question.

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edited Oct 18, 2014 at 2:37

Jeromy Anglim

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Why is it possible to get significant F andstatistic (p<.001) but non-significant regressor t statistics in a regression-tests?

grammar

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edited Oct 15, 2010 at 12:27

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grammar

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edited Oct 14, 2010 at 11:08

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Fix grammer and added a link to the follow up question

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edited Oct 14, 2010 at 9:09

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Why is it possible to get significant F andstatistic (p<.001) but non-significant regressor t statistics in a regression-tests?