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How to interpret F- and p-value in ANOVA?

I found that I can use ANOVA also for ONE Model, doing something like:

> anova(lm(a~b))
Analysis of Variance Table

Response: a
           Df   Sum Sq   Mean Sq F value    Pr(>F)    
b           1 0.002679 0.0026791  11.191 0.0009001 ***
Residuals 398 0.095282 0.0002394                      
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

I know that ANOVA check the means BUT what test is that if I use only ONE model? If the p.value is above 0.05 it means that the regression fit good?

Dail
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