$4\mathrm{.}1.$Specify and describe the implied research design of the study described above. $(5$ marks$)$

$4\mathrm{.}2.$Specify the independent and dependent variables underpinning the study and their levels of measurement. $(4$ marks$)$

$4\mathrm{.}3.$Formulate the null and alternative hypotheses for the study. $(2$ marks$)$

$4\mathrm{.}4.$Elaborate on any FOUR $(4)$ assumptions of simple linear regression analysis. $(4$ marks$)$

$4\mathrm{.}5.$Based on the output of the statistical analysis conducted, provide a comprehensive interpretation of the empirical model

underpinning the study. Your interpretation should include the standard reporting format. $(5$ marks$)$

$4\mathrm{.}6.$Establishing an association between an independent variable and a dependent variable is often a first step in the quest

to establish a causal effect. Does your empirical model allow you to attribute causality between $$Graduate Emigration

Rate$$ and $$Unemployment Rate$?$ Explain. $(3$ marks$)$

$4\mathrm{.}7.$Denoting the variables $$Graduate Emigration Rate$$ by X and $$Unemployment Rate$$ by Y$,$ state an appropriate linear

regression equation to describe your empirical model. $(2$ marks$)$