G4G0-2/AI & Data Mining/Week 4/Tutorial 4 - Nearest Neighbor.md

Normalisation Equation

a_i = \frac{v_i - minv_i}{maxv_i - minv_i}

Euclidean Distance Equation

\sqrt{(a_1-a_1')^2) + (a_2-a_2')^2 + ... + (a_n-a_n')^2}

vmax_{temp} = 85

vmin_{temp} = 64

a_{temp} = \frac{v_{temp} - 64}{21}

vmax_{humidity} = 96

vmin_{humidity} = 65

a_{humidity} = \frac{v_{humidity} - 65}{31}

outlook	temp	NT	humidity	NH	windy	play	Euclidean Distance to a' Calculation	Euclidean Distance
sunny	85	1	85	0.65	F	N	\sqrt{(85-72)^2 + (85-76)^2 + (2-2)^2 + (0-1)^2}	15.84
sunny	80	0.76	90	0.81	T	N	\sqrt{(80-72)^2 + (90-76)^2+ (2-2)^2 + (1-1)^2}	16.12
overcast	83	0.90	68	0.68	F	Y	\sqrt{(83-72)^2 + (68-76)^2+ (1-2)^2 + (0-1)^2}	13.67
rainy	70	0.29	96	1	F	Y	\sqrt{(70-72)^2 + (96-76)^2+ (0-2)^2 + (0-1)^2}	20.22
rainy	68	0.19	80	0.48	F	Y	\sqrt{(68-72)^2 + (80-76)^2+ (0-2)^2 + (0-1)^2}	25
rainy	65	0.05	70	0.16	T	N	\sqrt{(65-72)^2 + (70-76)^2+ (0-2)^2 + (1-1)^2}
overcast	64	0	65	0	T	Y	\sqrt{(64-72)^2 + (65-76)^2+ (1-2)^2 + (1-1)^2}
sunny	72	0.38	95	0.97	F	N	\sqrt{(72-72)^2 + (95-76)^2+ (2-2)^2 + (0-1)^2}
sunny	69	0.24	70	0.16	F	Y	\sqrt{(69-72)^2 + (70-76)^2+ (2-2)^2 + (0-1)^2}
rainy	75	0.52	80	0.48	F	Y	\sqrt{(75-72)^2 + (80-76)^2+ (0-2)^2 + (0-1)^2}
sunny	75	0.52	70	0.16	T	Y	\sqrt{(75-72)^2 + (70-76)^2+ (2-2)^2 + (1-1)^2}
overcast	72	0.38	90	0.81	T	Y	\sqrt{(72-72)^2 + (90-76)^2+ (1-2)^2 + (1-1)^2}
overcast	81	0.81	75	0.32	F	Y	\sqrt{(81-72)^2 + (75-76)^2+ (1-2)^2 + (0-1)^2}
rainy	71	0.33	91	0.84	T	N	\sqrt{(71-72)^2 + (91-76)^2+ (0-2)^2 + (1-1)^2}
sunny	72	0.38	76	0.35	T	??