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What can you conclude if we fail to reject the null hypothesis for two individual variables,...

What can you conclude if we fail to reject the null hypothesis for two individual variables, but reject the null hypothesis for the two joint variables?
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Answer #1

It means that the 2 variables jointly hasto be tested using F test

The 2 variables individually can be tested using T test

A F test tells us that the variables are jointly different from zero but it does not mean that the all the estimated coefficients are different from zero individually, for that you use the T test to check if the coefficient variables are individually different from zero

Hence if we fail to reject the null hypothess for indivdual variables we should apply T test

but if we reject the null hypothesis for 2 joint variables we need to apply F test  

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