If you reject a joint null hypothesis using the F-test in a multiple hypothesis setting, then:

Question

If you reject a joint null hypothesis using the  F-test  in a multiple hypothesis setting, then:

Answer

The regression is always significant

Answer

A series of  t -tests may or may not give you the same conclusion

Answer

All of the hypotheses are always simultaneously rejected

Answer

The  F -statistic must be negative.

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