The answer to each subquestion should be a string, one of: $$SMC$,$Jaccard$,$

$$Euclidean$,$Cosine Similarity$$

$($d$)$ Which measure, Euclidean distance or cosine similarity, is most appropriate to compare the coordinates of a moving object in a $2-$dimensional

space. For example, using GPS data, the object may be located at

$(31\mathrm{.}4$

$$ West, $12\mathrm{.}4$

$$ North$)$ at time t$1$ and $(29\mathrm{.}4$

$$ West, $12\mathrm{.}5$

$$ North$)$

at another time t$2.$ Note: we may use $+/-$ to indicate East$/$West

or North$/$South directions when computing the similarity or distance

measures.

$($e$)$ Which measure, Euclidean distance or cosine similarity, is most appropriate to compare the similarity of items bought by customers at a

grocery store. Assume each customer is represented by a $0/1$ binary

vector of items $($where a $1$ means the customer had previously bought

the item$).$

Q

$6$

Question $9$: Which similarity or distance measure is most

effective for each of the domains given below:

$($a$)$ Which measure, Jaccard or Simple Matching Coefficient, is most appropriate to compare how similar are the answers provided by students

in an exam. Assume that the answers to all the questions in the exam

are either True or False.

$($b$)$ Which measure, Jaccard or Simple Matching Coefficient, is most appropriate to compare how similar are the locations visited by tourists at

an amusement park. Assume the location information is stored as binary yes$/$no attributes $($yes means a location was visited by the tourist

and no means a location has not been visited$).$

$($c$)($c$)$ Which measure, Euclidean distance or correlation coefficient, is most

appropriate to compare two rows in a network trac. For each row, we

record information about the number of packets transmitted, number

of bytes transferred, number of acknowledgments sent, and duration

of the session.