For Analytic Solver, partition the data sets into $50\%$ training, $30\%$ validation, and $20\%$ test and use $12345$ as the default random seed. When searching for the optimal value of k$,$ search within possible k values from $1$ to $10.$ If the predictor variable values are in the character format, then treat the predictor variable as a categorical variable. Otherwise, treat the predictor variable as a numerical variable.

The accompanying data file contains $111$ observations with the binary target variable y along with the predictor variables x$1,$ x$2,$ x$3,$ and x$4.$

y x$1$ x$2$ x$3$ x$4$

$174900869829886$

$160600849534603$

$152900659028107$

$044000659523583$

$154500689234086$

$145200618319156$

$140400628931564$

$151800748733821$

$144100809423415$

$038600568834566$

$151900548519647$

$047600819823518$

$035900437116575$

$048300699027080$

$152100859529678$

$042300629021713$

$044400658613902$

$050900699327652$

$161100679033742$

$032300719619414$

$140800638129864$

$048100749119466$

$143600608922787$

$044500839631898$

$042800729631810$

$137600578221558$

$034000377714398$

$038000478824266$

$139700578115403$

$043300639224402$

$152800829528155$

$145500679124246$

$050100839523162$

$143400408720967$

$140500718722231$

$048600789530720$

$037000588020252$

$050400769631958$

$135100548024423$

$045200759624614$

$149400799321531$

$048100679323921$

$140900498825316$

$136700468632534$

$143400759632636$

$051300689324893$

$046000417425613$

$141300578321546$

$142800649021127$

$135500417633074$

$042600598922473$

$044600739520675$

$050600387825918$

$138400618722275$

$139000628125539$

$040700588915685$

$150000749124730$

$043900709325936$

$145500679322204$

$135600417828458$

$176555347623111$

$156777543434545$

$132344345423565$

$134566656754344$

$144566344523456$

$154333547613735$

$159600869634841$

$056400769635159$

$153100588521046$

$03960043849938$

$048100678928210$

$042800739019254$

$042500658926451$

$047200629333838$

$042200698329427$

$046900689022593$

$155200779233557$