Question: Using the following ANOVA tables

Table A Table B

Source DF Sum of Squares Source DF Sum of Squares

${{X}_{2}}$ 1 667.7279 ${{X}_{1}}$ 1 640.4249

${{X}_{3}}\left| {{X}_{2}} \right.$ 1 5.8228 ${{X}_{2}}\left| {{X}_{1}} \right.$ 1 32.7819

${{X}_{1}}\left| {{X}_{3}},{{X}_{2}} \right.$ 1 6.9406 ${{X}_{3}}\left| {{X}_{1}}, \right.{{X}_{2}}$ 1 7.2844

Residual 7 16.0942 Residual 7 16.0942

a) Test the Null Hypotheses ${{\beta }_{1}}={{\beta }_{2}}={{\beta }_{3}}=0$

b) Test ${{H}_{0}}:{{\beta }_{3}}={{\beta }_{2}}=0$

c) Test ${{H}_{0}}:{{\beta }_{1}}={{\beta }_{2}}=0$

e) Test ${{H}_{0}}:{{\beta }_{1}}=0$