Learning Path
Question & Answer1
Understand Question2
Review Options3
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Explore TopicChoose the Best Answer
A
A positive correlation with setosa having a smaller range of petal width.
B
A negative correlation with setosa having a larger range of petal width.
C
No correlation for either species.
D
A strong positive correlation with versicolor having a smaller range of petal width.
Understanding the Answer
Let's break down why this is correct
Answer
In a scatter plot of petal width versus petal length, you would expect setosa flowers to cluster around small values for both width and length, showing almost no variation and little correlation. Versicolor flowers, on the other hand, spread over a wider range of both measurements, with a clear upward trend where longer petals tend to be wider. Thus, the relationship for versicolor appears positively correlated, whereas setosa shows a flat, almost uncorrelated pattern. For example, a versicolor flower with a 4‑mm petal length might have a 1. 5‑mm width, while a setosa with a 4‑mm length would only have about 0.
Detailed Explanation
Setosa petals grow longer and wider together, so width and length rise together. Other options are incorrect because Some think width shrinks when length grows, but in reality width increases with length; Assuming no link between width and length ignores how petal shape works.
Key Concepts
Petal width
Data visualization
Topic
Iris Dataset
Difficulty
medium level question
Cognitive Level
understand
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