Question

Euclidean distance can be used to calculate the dissimilarity between two observations. Let u = (25, $350) correspond to a 25-year-old customer that spent $350 at Store A in the previous fiscal year. Let v = (53, $420) correspond to a 53-year-old customer that spent $4,100 at Store A in the previous fiscal year. Calculate the dissimilarity between these two observations using Euclidean distance.

a. 66.21
b. 88.57
c. 72.28
d. 75.39

Answer 1

Answer:

Option D

75.39

Step-by-step explanation:

When provided with the co-ordinates (x, y) and(a, b) then the distance between them is given by  $\sqrt {(x-a)^{2}+(y-b)^{2}}$

Since  u = (25, $350) and v = (53, $420) then the Euclidean distance will be

$\sqrt {(53-25)^{2}+(350-420)^{2}}=75.3923073\approx 75.39$

Answer 2

Answer:

d. 75.39

Step-by-step explanation:

u= (25,350) and v= (53,420)

Subtract the u and v coordinates of the first point and square. Subtract the u and v-coordinates of the second point and square. Then add them together:

(25-53)²+(350-420)²

784+4900= 5684

Then take the square root of that sum to find the answer:

√5684 = 75.39