Asked by sichen zheng on Jun 30, 2024
Verified
A correlation of ______ is BEST represented by ______.
A) .00; an ellipse (football shape)
B) 1.00; an ellipse (football shape)
C) .00; a circle
D) 1.00; a circle
Ellipse
A geometric shape that resembles a flattened circle and is defined mathematically as the locus of points such that the sum of the distances from two focal points is constant.
Circle
A simple closed shape in Euclidean geometry that is the set of all points in a plane that are at a given distance from a given point, the center.
- Explain how scatterplot shapes correspond to different correlation values.
Verified Answer
JC
Joshua ChungJul 02, 2024
Final Answer :
C
Explanation :
A correlation of 0.00 (indicating no relationship) is best represented by a circle, as there is no pattern or tendency in the relationship between the two variables. An ellipse or football shape, as seen in choices A and B, would suggest some degree of correlation or relationship between the variables. A correlation of 1.00 (perfect positive correlation) is also best represented by a circle, as all data points would fall exactly on a straight line, forming a circle.
Learning Objectives
- Explain how scatterplot shapes correspond to different correlation values.
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