I am asked to complete the ANOVA table for my data which has two predictor variables since it is multiple linear regression. So far, I have found SSRes using the formula $\sum(Y_i^2)$ - $\hat{\beta}'X'Y$ which was equal to 676.69 and I have found the MSR which was 16.11. I'm not sure how to find the Sum of squares for x1&x2 to complete this table. Can anybody help?
The data given is: Y = X$\beta$ + $\epsilon$ and $\sum{Y_i^2}$ = 6424.30 as well as the following matrices: X'X = (45.00, 207.10, 3589, 207.10, 1021.54, 165.50, 35.89, 165.50, 32.53) (I'm not sure how to insert a matrix into this forum so the numbers are read left-right in order of a 3x3 matrix.
X'Y= (450.36, 2353.04, 341.53). $(X'X)^-1$ = (0.49, -0.07, -0.20, -0.07, 0.01, 0.00, -0.20, 0.00, 0.26) and
The least squares estimate of $\hat{\beta}$ of $\beta$ is: $\hat{\beta}$ = (-5.070, 4.120, -4.871).
I am assuming I need to find SSReg for the entire model and then find it for x1 and subtract them both to find it for x2 but I am stuck on how to find SSReg for the model.