Given the following information on the estimated models A and B with n=82 observations

VariableModel AModel B

Constant54.471.554

(23.19) (19.93)

X1 -0.383-0.403

(0.117) (0.118)

X2-0.741-0.839

(0.43) (0.42)

X3 2.1482.227

(0.43) (0.31)

X4 1.046

(0.691)

X50.194

(0.20)

SSR 2309.9782414.724

AdjR2 .576.568

R2.602.584

S230.39430.958

a)Test the overall level of significance of Model B at a 1% level

State the Null and the Alternative hypotheses and the statistical distribution of the test statistic.

b)Test the joint significance of the variables X4and X5at the 5% level.

State the Null and the Alternative hypotheses and the statistical distribution of the test statistic.