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Meaning of p value in regression analysis

When you run a regression in statistical software, and it gives you the results, please explain to me what the following fields mean:

Prob > F [In particular, how small/large does this have to be to be statistically significant?]

Root MSE

P>|t| [Should the number be smaller than .05 to be significant at 5%?]

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Please see the attached file.

Meaning of terms in regression results (Prob > F, etc)
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When you run a regression in statistical software, and it gives you the results, please explain to me what the following fields mean:

Prob > F [In particular, how small/large does this have to be to be statistically significant?]

Root MSE

P>|t| [Should the number be smaller than .05 to be significant at 5%?]

Answer

Usually statistical software use P value to accept or reject the null hypothesis . It is defined as the probability that a variate would assume a value greater than or equal to the observed value strictly by chance: Thus for F test ( in ANOVA ) it is defined as P(F≥ F observed). For two tailed students t test the p value is given by P(| t |≥ t observed). A p-value is a measure of how much evidence we have against the null hypotheses. The smaller the p-value, the more ...

Solution Summary

Meaning of p value, F test, t test in regression analysis.

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