roline

$1\mathrm{.}117$

$-0\mathrm{.}406$

$-0\mathrm{.}776$

ay has recently discovered a new wine from the Piedmont region of Italy with the following characteristics. In which cluster of wines should Jay place this new vine? Justify your choice with appropriate calculations.

Characteristic

$\backslash$table$[[$Alcohol$,-1\mathrm{.}023],[$Malic Acid,$-0\mathrm{.}480],[$Ash$,0\mathrm{.}049],[$Alkalinity$,0\mathrm{.}600],[$Magnesium$,-1\mathrm{.}242],[$Phenols$,1\mathrm{.}094],[$Flavonoids$,0\mathrm{.}001],[$Nonflavonoids$,0\mathrm{.}548],[$Proanthocyanidins$,-0\mathrm{.}229],[$Color Intensity,$-0\mathrm{.}797],[$Hue$,0\mathrm{.}711],[$Dilution$,-0\mathrm{.}425],[$Proline$,0\mathrm{.}010]]$

If required, round your answers to three decimal places. Do not round intermediate calculations.

Distance from new wine and Cluster $1$: $$

Distance from new wine and Cluster $2$ : $$

Distance from new wine and Cluster $3$: $$

Select your answer $hat()$ is the most appropriate for the new wine observation.