Finding SS - Regression - ANOVA

Hi All,

Hoping someone can guide me in the right direction here because I've exhausted all of the tools that were given to me by my professor and youtube.

Just to note: this is practice problems and not homework. I have a ton of these types of questions so if someone can explain this one to me, It'll greatly help me in answering the others. I was under the impression that when trying to find SS, I would be given values for X and Y and then I can find the mean and from there, compute the equation for SS (Yi (hat)-Y(mean))^2 but nothing i try gets me remotely close to 582.63.

Thanks in advance!