A Joint Hypothesis That Is Linear in the Coefficients and Imposes

Short Answer

A joint hypothesis that is linear in the coefficients and imposes a number of restrictions can be written as a. $\left( \boldsymbol { X } ^ { \prime } \boldsymbol { X } \right) ^ { - 1 } \boldsymbol { X } ^ { \prime } \boldsymbol { Y }$ .
b. $\boldsymbol { R } \boldsymbol { \beta } = \boldsymbol { r }$ .
c. $\hat { \beta } - \beta$ .
d. $\boldsymbol { R } \boldsymbol { \beta } = \mathbf { 0 }$ .