gs gs119 Data Exploration and Analysis - Measuring Data Similarity and Dissimilarity - Quiz No.2
gs gs119 Data Science Quiz
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Question 1: Which of the following is true about the Euclidean distance between the grades of students if Grade 1 carries double weightage than Grade 2?
| object | Grade 1 | Grade 2 |
|---|---|---|
| Student 1 | 3 | 2 |
| Student 2 | 2 | 2 |
The Euclidean distance is 2.7
The Euclidean distance is 4.4
The Euclidean distance is 2.9
The Euclidean distance is 1.4`
Question 2: Which of the following is the dissimilarity matrix for the movie ratings data given in the diagram, where each movie can have a rating of either average, good and excellent and distance measure be Euclidean distance?
| Survey | Rating |
|---|---|
| Person 1 | Good |
| Person 2 | Excellent |
| Person 3 | Good |
\(\begin{bmatrix} 0 & & \\ 0.5 & 0 & \\ 0 & 0.5 & 0 \end{bmatrix}\)
\(\begin{bmatrix} 0 & & \\ 0.5 & 0 & \\ 0.5 & 0.5 & 0 \end{bmatrix}\)
\(\begin{bmatrix} 0 & & \\ 0.5 & 0 & \\ 0 & 1 & 0 \end{bmatrix}\)
\(\begin{bmatrix} 0 & & \\ 1 & 0 & \\ 0 & 0.5 & 0 \end{bmatrix}\)
Question 5: Which of the following is true about the cosine similarity between A = (1, 2, 4, 2, 6) and B = (2, 4, 6, 5, 3)?
The cosine similarity is 0.12
The cosine similarity is 0.01
The cosine similarity is 0.43
The cosine similarity is 0.56
Question 6: Which of the following is the correct dissimilarity matrix for the given data?
| Object | Color |
|---|---|
| A | Red |
| B | Blue |
| C | Blue |
\(\begin{bmatrix} 0 & & \\ 1 & 0 & \\ 1 & 0 & 0 \end{bmatrix}\)
\(\begin{bmatrix} 0 & & \\ 1 & 0 & \\ 0 & 0 & 0 \end{bmatrix}\)
\(\begin{bmatrix} 0 & & \\ 0 & 0 & \\ 1 & 0 & 1 \end{bmatrix}\)
\(\begin{bmatrix} 0 & & \\ 1 & 1 & \\ 1 & 0 & 0 \end{bmatrix}\)
Question 7: Which of the following is the correct similarity matrix for the given data?
| Object | Color |
|---|---|
| A | Red |
| B | Green |
| C | Blue |
| D | Green |
\(\begin{bmatrix} 0 & & & \\ 1 & 0 & & \\ 1 & 0 & 0 & \\ 0 & 1 & 1 & 0 \end{bmatrix}\)
\(\begin{bmatrix} 1 & & & \\ 0 & 1 & & \\ 0 & 0 & 1 & \\ 0 & 1 & 0 & 1 \end{bmatrix}\)
\(\begin{bmatrix} 0 & & & \\ 1 & 0 & & \\ 1 & 1 & 0 & \\ 0 & 1 & 1 & 0 \end{bmatrix}\)
\(\begin{bmatrix} 0 & & & \\ 1 & 1 & & \\ 1 & 0 & 0 & \\ 0 & 1 & 1 & 1 \end{bmatrix}\)
Question 8: Which of the following is the correct expression for symmetric binary dissimilarity between two objects, where q and t attributes have value 1 and 0 for both objects respectively, r attributes have value 1 for first object and 0 for the second object and s attributes have value 0 for the first object and 1 for the second object?
Dissimilarity = (r + s)/ (q + r + s + t)
Dissimilarity = (q – s)/ (q + r + s + r)
Dissimilarity = (t + s)/ (q + r + s + t)
Dissimilarity = (r – s)/ (q + r + s + t)
Question 9: Given two objects, if q and t attributes have value 1 and 0 for both objects respectively, r attributes have value 1 for first object and 0 for the second object and s attributes have value 0 for the first object and 1 for the second object, which of the following is the correct expression for asymmetric binary dissimilarity between the two objects?
Dissimilarity = (r + s)/ (q + r + t)
Dissimilarity = (q – s)/ (q + r + s)
Dissimilarity = (r + s)/ (q + r + s)
Dissimilarity = (t – s)/ ( r + s + t)
Question 10: Which of the following is also referred to as Jaccard coefficient?
Symmetric binary similarity
Symmetric binary dissimilarity
Asymmetric binary similarity
Asymmetric binary dissimilarity
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