Please answer the following question using R and submit the R code along with interpretations and analysis. Questions $2$

This was a five$-$year research project that investigated the effects of residential treatment for drug abuse.

Study participants received either a $3-$ or $6-$month modified therapeutic communities that incorporated

elements of health education and relapse prevention. For this analysis, we wish to propose a model to evaluate

the factors that are associated with drug reuse. The data set contains the following variables:

$$ id: study subject ID $(1-628)$

$$ reuse: whether return to drug use $(1=$ Returned to Drug Use; and $0=$ Otherwise$)$

$$ ivhx: IV drug use history $(1=$ Never; $2=$ Previous; and $3=$ Recent$)$

$$ ndrugtx: number of prior drug treatments

$$ site: $(0=$urban$$; and $1=$rural$)$

$$ beck: Beck Depression Score at admission

$$ hercoc: Heroin$/$cocaine use during $3$ months prior to admission $(1=$ Heroin & Cocaine; $2=$ Heroin

Only; $3=$ Cocaine Only and $4=$ Neither Heroin nor Cocaine$)$

$$ time: time to return to drug use in days

$$ treat: treatment allocation $(0=3-$month treatment; and $1=6-$month treatment$)$

Note: if a study subject did not return to drug reuse, then the time is the total number of days the study

subject was in the study.

$1.$ Discuss how you selected your final model and write out the equation of your final model. $(15$ marks$).$

Note: You may have different models depending on how you decide to select your final model. Therefore,

clearly specify what the criteria are that you used to do model selection.

$2.$ Make sure your model assumptions are satisfied. Comment briefly. $(10$ marks$).$

$3.$ Write a brief executive summary. $(15$ marks$)$

$2$