Suppose we want to assign points to one of two cluster centroids, either (0,0) or (100,40). Depending on whether we use the L1 or L2 norm, a point (x.y) could be clustered with a different one of these two centroids. For this problem, you should work out the conditions under which a point will be clustered with the centoid (0,0) when the L1 norm is used, but clustered with the centroid (100,40) when the L2 norm is used. Identify one of those points from the list below. Note that L1 norm = Manhattan Distance and L2 norm = distance in Euclidean space. O a (54,8) O b.(61,10) O C. (61,8) O d. (66,5)

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Suppose we want to assign points to one of two cluster centroids, either (0,0) or (100,40). Depending on whether we use the L1 or
L2 norm, a point (x.y) could be clustered with a different one of these two centroids. For this problem, you should work out the
conditions under which a point will be clustered with the centoid (0,0) when the L1 norm is used, but clustered with the centroid
(100,40) when the L2 norm is used. Identify one of those points from the list below. Note that L1 norm = Manhattan Distance and L2
norm = distance in Euclidean space.
a. (54,8)
O b.(61,10)
O C. (61,8)
od.(66,5)
Transcribed Image Text:Suppose we want to assign points to one of two cluster centroids, either (0,0) or (100,40). Depending on whether we use the L1 or L2 norm, a point (x.y) could be clustered with a different one of these two centroids. For this problem, you should work out the conditions under which a point will be clustered with the centoid (0,0) when the L1 norm is used, but clustered with the centroid (100,40) when the L2 norm is used. Identify one of those points from the list below. Note that L1 norm = Manhattan Distance and L2 norm = distance in Euclidean space. a. (54,8) O b.(61,10) O C. (61,8) od.(66,5)
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