The table below shows whether an applicant has been rejected, waitlisted, or admitted to a college.$$ There are three predictors.$$ All variables$$have been categorized into categorical variables.$$

Use Excel and the CART methodology to develop a classification model for the following training data $($one level only$)$:

Applicant

GRE

Gender

Admission

GPA

$1$

Low

Female

Admitted

High

$2$

Low

Male

Rejected

Low

$3$

Low

Male

Waitlisted

Medium

$4$

Very High

Male

Admitted

Low

$5$

Very High

Female

Admitted

Medium

$6$

Very High

Male

Admitted

High

$7$

Very High

Female

Admitted

High

$8$

High

Male

Waitlisted

Medium

$9$

High

Male

Waitlisted

Low

$10$

Medium

Female

Waitlisted

High

$11$

Medium

Male

Rejected

Low $\backslash$begin$\{$tabular$\}\{|$c$|$l$|$l$|$l$|$l$|\}$

$\backslash$hline Applicant & GRE & Gender & Admission & GPA $\backslash \backslash$

$\backslash$hline $\backslash$multirow$\{3\}\{*\}\{\backslash (\backslash$mathbf$\{1\}\backslash )\}$ & Low & Female & Admitted & High $\backslash \backslash$

$\backslash$cline $\{2-5\}\backslash (\backslash$mathbf$\{2\}\backslash )$ & Low & Male & Rejected & Low $\backslash \backslash$

$\backslash$cline $\{2-5\}\backslash (\backslash$mathbf$\{3\}\backslash )$ & Low & Male & Waitlisted & Medium $\backslash \backslash$

$\backslash$cline $\{2-5\}\backslash (\backslash$mathbf$\{4\}\backslash )$ & Very High & Male & Admitted & Low $\backslash \backslash$

$\backslash$cline $\{2-5\}\backslash (\backslash$mathbf$\{5\}\backslash )$ & Very High & Female & Admitted & Medium $\backslash \backslash$

$\backslash$cline $\{2-5\}\backslash (\backslash$mathbf$\{6\}\backslash )$ & Very High & Male & Admitted & High $\backslash \backslash$

$\backslash$cline $\{2-5\}\backslash (\backslash$mathbf$\{7\}\backslash )$ & Very High & Female & Admitted & High $\backslash \backslash$

$\backslash$cline $\{2-5\}\backslash (\backslash$mathbf$\{8\}\backslash )$ & High & Male & Waitlisted & Medium $\backslash \backslash$

$\backslash$cline $\{2-5\}\backslash (\backslash$mathbf$\{9\}\backslash )$ & High & Male & Waitlisted & Low $\backslash \backslash$

$\backslash$cline $\{2-5\}\backslash (\backslash$mathbf$\{10\}\backslash )$ & Medium & Female & Waitlisted & High $\backslash \backslash$

$\backslash$cline $\{2-5\}\backslash (\backslash$mathbf$\{11\}\backslash )$ & Medium & Male & Rejected & Low $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$