$2.$ Here is a dataset, using Euclidian Distance $($in handout$4$ slide $10)$ Measure and the $5-$nearest neighbor techniques, predict the following new data is likely to be in which class based on

COSC$6337$

Web Mining and Information Retrieval

simple majority voting. $($Hint$,$ combine the weight and height attributes into a ratio$=$weight$/$height$,$ which could simply the $2$ dimensions data into $1$ dimension$).$ If you want to use the $\backslash (2-\backslash$mathrm$\{$d$\}\backslash )$ vector to calculate, you need to normalize first $($since weight is in the range of $[130,289]$ and height is in the range of $[1\mathrm{.}5,2\mathrm{.}4],$ which are not the same measurement$).$

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

$\backslash$hline Name & Weight & Height & Class $\backslash \backslash$

$\backslash$hline Kristina & $160$ lb & $1\mathrm{.}6$ m & Average $\backslash \backslash$

$\backslash$hline Jim & $210$ lb & $2\mathrm{.}0$ m & Average $\backslash \backslash$

$\backslash$hline Maggie & $207$ lb & $1\mathrm{.}9$ m & Average $\backslash \backslash$

$\backslash$hline Martha & $130$ lb & $1\mathrm{.}8$ m & Underweight $\backslash \backslash$

$\backslash$hline Stephanie & $221$ lb & $1\mathrm{.}7$ m & Overweight $\backslash \backslash$

$\backslash$hline Bob & $215$ lb & $1\mathrm{.}8$ m & Average $\backslash \backslash$

$\backslash$hline Kathy & $178$ lb & $1\mathrm{.}6$ m & Average $\backslash \backslash$

$\backslash$hline Dave & $138$ lb & $1\mathrm{.}7$ m & Underweight $\backslash \backslash$

$\backslash$hline Worth & $160$ lb & $2\mathrm{.}2$ m & Underweight $\backslash \backslash$

$\backslash$hline Steven & $190$ lb & $2\mathrm{.}1$ m & Average $\backslash \backslash$

$\backslash$hline Debbie & $234$ lb & $1\mathrm{.}8$ m & Overweight $\backslash \backslash$

$\backslash$hline Todd & $285$ lb & $1\mathrm{.}9$ m & Overweight $\backslash \backslash$

$\backslash$hline Kim & $135$ lb & $1\mathrm{.}9$ m & Underweight $\backslash \backslash$

$\backslash$hline Amy & $198$ lb & $1\mathrm{.}8$ m & Average $\backslash \backslash$

$\backslash$hline Lynette & $289$ lb & $1\mathrm{.}7$ m & Overweight $\backslash \backslash$

$\backslash$hline

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

a$)$ John $[185$ lb$,2\mathrm{.}0$ m$\backslash (]\backslash )$

b$)\backslash (\backslash$quad $\backslash )$ Kelly $[\backslash (165\backslash$mathrm$\{$lb$\},1\mathrm{.}5\backslash$mathrm$\{$~m$\}]\backslash )$

c$)\backslash (\backslash$quad $\backslash )$ Sam $\backslash ([180\backslash$mathrm$\{$lb$\},2\mathrm{.}4\backslash$mathrm$\{$~m$\}]\backslash )$

d$)$ Laura $[195$ lb$,1\mathrm{.}8$ m $]$

e$)\backslash (\backslash$quad $\backslash )$ Mike $\backslash ([220\backslash$mathrm$\{$lb$\},1\mathrm{.}7\backslash$mathrm$\{$~m$\}]\backslash )$