What do you want to know about the p-values? If I just spit out p-values without context, It'll only confuse the issue, especially because I'm running through many hypothesis as I test various interactions between ratings. My base hypothesis is: HIGHER RATINGS = MORE WARS WON and I have extremely low pvalues (0.000000000000007), indicating I can reject the null hypothesis that the "ratings in this game don't matter at all" with basically infinite certainty (much to @lloydCarr's chagrin). I don't think a pvalue is really useful in that context because I'm not really testing a hypothesis, we already know the answer (because that's how the game is programmed, higher ratings = more WARS).
So lets talk about my initial multi-variable linear regression and p-values in that context.
My hypothesis is that the following ratings: CON, GAP, POW, EYE, K's, DEF, SPE, STE, and RUN all have an independent positive linear relationship with WAR. The Null hypothesis is that the relationship is between a specific variable and WAR is not positive or independent.
[xtable=skin1|128x@]
{tbody}
{tr}
{td=64x@}Variable{/td}
{td=64x@}P-value{/td}
{/tr}
{tr}
{td}CON{/td}
{td}7.42E-07{/td}
{/tr}
{tr}
{td}GAP{/td}
{td}0.034748{/td}
{/tr}
{tr}
{td}POW{/td}
{td}1.22E-14{/td}
{/tr}
{tr}
{td}EYE{/td}
{td}1.81E-06{/td}
{/tr}
{tr}
{td}K's{/td}
{td}0.024134{/td}
{/tr}
{tr}
{td}SPE{/td}
{td}0.038016{/td}
{/tr}
{tr}
{td}STE{/td}
{td}0.18622{/td}
{/tr}
{tr}
{td}RUN{/td}
{td}0.200266{/td}
{/tr}
{tr}
{td}DEF{/td}
{td}4.5E-05{/td}
{/tr}
{/tbody}
[/xtable]
For Con, Pow, Eye, and Defense I can definitively say that, based on those p-values there is a strong independent positive linear relationship to WAR. I smash that null hypothesis
For Gap, K's, and SPE I can say that there is a very strong probability (greater than 95% but less than 99%) that those variables have an independent positive linear relationship to WAR. I reject that null hypothesis.
For STE and RUN the pvalues are high enough that I can't reject the null hypothesis, likely because they don't independently relate to WAR (they are modifiers that rely on a relationship to other ratings). I cannot reject that null hypothesis.