True or False: The following data plot represents data that is linearly separable?Question 1Select one:TrueFalse
Question
True or False: The following data plot represents data that is linearly separable?
Question 1
Select one:
- True
- False
Solution
To determine if a data plot is linearly separable, you need to consider whether you can draw a straight line (in two dimensions) or a hyperplane (in higher dimensions) that divides the data points into distinct categories without any misclassifications.
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Understanding Linear Separability:
- A dataset is said to be linearly separable if there exists a linear boundary that clearly separates different classes of data points.
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Examining the Data Plot:
- If the plot shows that all data points of one class can be separated from all points of another class with a straight line (or hyperplane in higher dimensions), then it is true that the data is linearly separable.
- Conversely, if the data points of different classes overlap and cannot be separated without misclassifications using a straight line, then the data is not linearly separable.
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Decision:
- Based on your observation of the data plot, if you can visually confirm that the points of different classes do not intersect, the answer is True. If they do intersect, the answer is False.
Final Answer
Please review the data plot. Based on your determination, the answer will be either True or False.
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