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 \({{H}_{0}}:{{\beta }_{1}}=0\)