Question Five: (10 marks) Students in a statistical experiment have been classified into two groups based on the similarity of their letter grades in two subjects: Math and English as follows: Group A Math English Group B Math English student Id student Id s01 A C S03 A B S02 A s04 C B a. Find the Euclidean distance between a new student with id s20 and scores B in Math and C in English, and each of the 4 students above. Letter grades translate to points as follows: A =4; B = 3; C = 2. [2 marks) b. To which student(s) is s20 most similar [1 mark] c. In which group would a k nearest neighbors (KNN) classification algorithm with K = 3 and which uses simple majority voting classify s20? And why? [2 marks] d. In which group would a k nearest neighbors (KNN) classification algorithm with K = 3 and which uses weighted voting classify s20? And why? [2 marks] e. Suppose we applied the KNN algorithm to each member of a larger training set of stu-dents in the two groups (s01-518) and we obtained the results shown below. Based on these results, which value of k would you choose? And why?: [3 marks) Correctly classified? student Group k=3 k=5 k=7 Id s01 A Y Y Y s02 A Y Y S03 A Y Y Y s04 A Y Y Y s05 A N N N s06 A N N N s07 A Y Y Y s08 A Y Y Y s09 A Y Y Y s10 A Y Y Y s11 B N Y N s12 B Y Y Y s13 B Y Y Y s14 B N Y Y s15 B Y Y Y s16 B Y Y Y s17 B Y Y Y s18 B Y N N Question Five: (10 marks) Students in a statistical experiment have been classified into two groups based on the similarity of their letter grades in two subjects: Math and English as follows: Group A Math English Group B Math English student Id student Id s01 A C S03 A B S02 A s04 C B a. Find the Euclidean distance between a new student with id s20 and scores B in Math and C in English, and each of the 4 students above. Letter grades translate to points as follows: A =4; B = 3; C = 2. [2 marks) b. To which student(s) is s20 most similar [1 mark] c. In which group would a k nearest neighbors (KNN) classification algorithm with K = 3 and which uses simple majority voting classify s20? And why? [2 marks] d. In which group would a k nearest neighbors (KNN) classification algorithm with K = 3 and which uses weighted voting classify s20? And why? [2 marks] e. Suppose we applied the KNN algorithm to each member of a larger training set of stu-dents in the two groups (s01-518) and we obtained the results shown below. Based on these results, which value of k would you choose? And why?: [3 marks) Correctly classified? student Group k=3 k=5 k=7 Id s01 A Y Y Y s02 A Y Y S03 A Y Y Y s04 A Y Y Y s05 A N N N s06 A N N N s07 A Y Y Y s08 A Y Y Y s09 A Y Y Y s10 A Y Y Y s11 B N Y N s12 B Y Y Y s13 B Y Y Y s14 B N Y Y s15 B Y Y Y s16 B Y Y Y s17 B Y Y Y s18 B Y N N