George Grep found the following, partially filled in, ANOVA table from a multiple regression study with 3 predictor variables. Help George by filling in the five blank spaces in the table (don't forget MSE).
$$
\begin{array}{lrrr}
\hline \text { SOURCE } & \text { DF } & \text { SS } & \text { MS } \\
\hline \text { Regression } & & & 170.30 \\
\text { Error } & & & \\
\hline \text { Total } & 9 & 538.24 &
\end{array}
$$
(a) Calculate $R^2$.
(b) Test the null hypothesis that all of the predictor variable coefficients are zero, against the alternative hypothesis that at least one of the coefficients is not zero. Use $\alpha=0.05$.