Consider the following figures representing datasets consisting of…
2024
Consider the following figures representing datasets consisting of two-dimensional features with two classes denoted by circles and squares.
Which of the following is/are TRUE?
Answer: A. (i) is linearly separable. — Figure (i) shows two classes, circles and squares, that can be separated by a straight line. A vertical line at x=1.5 cleanly separates the circles (at x=1)…
- A.
(i) is linearly separable.
- B.
(ii) is linearly separable.
- C.
(iii) is linearly separable.
- D.
(iv) is linearly separable.
Attempted by 2 students.
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Correct answer: A
Figure (i) shows two classes, circles and squares, that can be separated by a straight line. A vertical line at x=1.5 cleanly separates the circles (at x=1) from the squares (at x=2 and 3), making it linearly separable. Figures (ii), (iii), and (iv) all have mixed classes that cannot be separated by a single straight line. For example, in (ii), squares and circles are intermingled at x=2. Therefore, only option A is correct.