input the student ID here 1 marr wage exper age college games minutes guard forward center points rebounds assists allstar avgmin lwage black children UNSW School of Economics ECON1203 Business and Economic Statistics Session 2, 2017 Major project: The Marriage Premium Purpose The$idea$is$of$this$assessment$task$is$to$simulate$a$professional$work$task$involving$statistical$ analysis.$ It$ is$ designed$ to$ help$ students$ learn$ about$ what$ is$ involved$ in$ undertaking$ basic$ statistical$ analysis$ to$ understand$ a$ real;world$ problem,$ and$ communicating$ the$ results$ of$ this$analysis$to$business/government$stakeholders.$ Context and Problem You$ are$ working$ for$ Equal$ Rights$ Australia$ (\"EqRA\"),$ a$ not;for;profit$ organization$ that$ specializes$ in$ providing$ consultancy$ services$ and$ workplace$ solutions$ that$ reduce$ discrimination$ in$ service$ delivery$ and$ decision;making.$ $ As$ part$ of$ its$ annual$ report$ to$ its$ Board$members,$EqRA$has$commissioned$a$study$into$workplace$discrimination.$EqRA$chief$ Economist$ cautioned$ \"Labor$ economists$ have$ long$ noted$ that$ married$ men$ earn$ substantially$ more$ per$ hour$ than$ men$ who$ are$ not$ currently$ married.\"$ $ He$ added$ that$ 'marriage$ premium'$ is$ of$ particular$ interest$ for$ analyzing$ gender;based$ discrimination$ and$ achieving$a$better$understanding$of$the$determination$of$individual$wages.$$ $ You$met$with$EqRA$senior$consultant,$Rachel$Ng,$to$address$the$chief$economist's$concerns.$ Dr.$ Ng$ did$ some$ extensive$ research$ and$ was$ able$ to$ get$ a$ unique$ data$ set$ that$ would$ provide$convincing$statistical$evidence$to$whether$there$exists$some$basis$to$the$observed$ marital;wage$ discrimination$ once$ productivity$ is$ taken$ into$ account.$ The$ data$ collected$ consists$ of$ a$ cross$ sectional$ sample$ of$ professional$ basketball$ players.$ As$ a$ statistical$ consultant,$you$are$given$the$responsibility$to$investigate$the$relationship$between$wages,$ marriage$and$productivity$using$the$data$that$Dr.$Ng$has$sent$you$in$an$Excel$file.$ $ $The$ purpose$ of$ the$ statistical$ analysis$ is$ twofold.$ The$ first$ objective$ is$ to$ understand$ the$ characteristics$of$the$professional$Basketball$players$such$as:$ $ a) The$profile$of$the$players$(e.g.$age,$marital$status,$race,$experience)$ b) The$ distribution$ of$ productivity$ with$ respect$ to$ the$ players'$ demographics$ and$ marital$ status$ c) Whether$ there$ are$ interactions$ between$ players'$ characteristics$ such$ as$ Race$ and$ marital$status.$$ $ Measuring$players'$productivity$is$a$difficult$task.$In$addition$to$the$simple$measures$ provided$in$the$data$that$measure$scoring$(points$per$minute),$toughness$(rebounds$per$ minute)$and$quickness$(assists$per$minute),$the$chief$economist$suggested$to$use$a$ productivity$index,$also$called$NBA$Efficiency$defined$as:$ Prod_Index=points+rebounds+assists d) Dr.$ Ng$ is$ not$ very$ convinced$ the$ Prod_Index$ is$ a$ good$ measure$ of$ productivity$ for$ the$ players.$ She$ thinks$ that$ whether$ a$ player$ is$ an$ \"allstar\