Give Several Economic Examples of How to Test Various Joint $R \beta = r$

Essay

Give several economic examples of how to test various joint linear hypotheses using matrix notation. Include specifications of $R \beta = r$ where you test for (i) all coefficients other than the constant being zero, (ii) a subset of coefficients being zero, and (iii) equality of coefficients. Talk about the possible distributions involved in finding critical values for your hypotheses.