Suppose we have an unrestricted model (i subscripts are omitted) Y =β1 + β2X2 + β3X3 + β4X4 + β5X5 +u Write down the restricted models and m (number of restrictions) for the following null hypotheses. Make sure your answer is a regression equation that we can estimate. Also state what you would conclude if the null hypothesis is rejected.
(a) H0 : β3 =β5 = 0
(b) H0 : β2 = β4 = 1
(c) For this one write the null hypothesis for the following claim and proceed: The effect of one unit increase in X2 is the same as two
units increase in X3.
(d) H0 : β3 - β4 = 3.