Using the worksheet titled problem $1,$ classify the nominal outcome for $5$ test set observations using a training data set of $25$ observations. There are five input attributes: three nominal, one ordinal, and one numeric.

For your distance metric, choose something that can adequately handle all types of input attributes. Use k$-$NN classification and set k $=3.$ Explain$/$Specify your distance metric and then provide your predictions below. The next page is blank to allow space for your work. You can also use Excel for your work but you must then submit an electronic copy of that file.

x$1$ x$2$ x$3$ x$4$ x$5$ prediction

yes up right medium $15\mathrm{.}9$

yes down left low $16\mathrm{.}2$

no down left low $13\mathrm{.}1$

no down right medium $17\mathrm{.}1$

yes down right high $20\mathrm{.}2$