Question $2[15\%]$

Classification tree is built; the result is saved in ct ree with the following output:

$>$ print $($ctree$)$

root $6202680(0\mathrm{.}56774190\mathrm{.}4322581)$

Bank

Employ$<mtext></mtext><mn>1</mn><mn>.</mn><mn>3</mn><mn>1</mn><mn>2</mn><mn>5</mn><mn>2</mn><mn>9</mn><mn>6</mn><mn>5</mn><mn>7</mn><mn>0</mn><mi>(</mi><mn>0</mn><mn>.</mn><mn>8</mn><mn>0</mn><mn>7</mn><mn>4</mn><mn>3</mn><mn>2</mn><mn>4</mn><mn>0</mn><mn>.</mn><mn>1</mn><mn>9</mn><mn>2</mn><mn>5</mn><mn>6</mn><mn>7</mn><mn>6</mn><mi>)</mi><mi>*</mi><mi>*</mi>$

Employ $1\mathrm{.}3125168790(0\mathrm{.}52976190\mathrm{.}4702381)$

Save

Save $145\mathrm{.}543,121(0\mathrm{.}27906980\mathrm{.}7209302)**$

Bank $2\mathrm{.}5156241(0\mathrm{.}15384620\mathrm{.}8461538)*$

Question $2($continued$)$

$($a$)$ Based on the above output, draw the corresponding classification tree, including the class

distribution in each the terminal node and produce the classification table.

$($b$)$ Consider the terminal node $4),$ i$.$e$.$ if $($Bank$<mtext></mtext><mn>2</mn><mn>.</mn><mn>5</mn><mi>)</mi>$ and $($Employ$<mtext></mtext><mn>1</mn><mn>.</mn><mn>3</mn><mn>1</mn><mn>2</mn><mn>5</mn><mi>)</mi>$ then Result$=0.$

Compute the Support, Confidence and Capture of this rule.

$($c$)$ If we are interested in identifying premium customers with only one rule, which rule should

we use? Explain your answer.