Question
Identify the association between the data .
Hint:
The association of a scatter plot can be identified by analyzing the points in the graph. If they have a linear behavior, they are of linear association. If they show a nonlinear pattern, then the corresponding association would be nonlinear.
We are asked to find the association of the graph in both (1) and (2).
The correct answer is: We are asked to find the association of the graph in both (1) and (2).
ANSWER:
Step 1 of 2:
The trend line of the scatter plot diagram is:
Analyzing the trend line, we can clearly see that the points are not clustered around the line. This shows a weak association.
Moreover, the slope of the line is negative (because its downwards), hence, the association is negative as well.
Thus, the association corresponding to the graph is weak negative association.
Step 2 of 2:
Analyzing the second graph, it is evident that the scatter plot has a curvature. That is, the path followed by the points is nonlinear.
Hence, the corresponding association would be nonlinear association.
Analyzing the trend line, we can clearly see that the points are not clustered around the line. This shows a weak association.
Moreover, the slope of the line is negative (because its downwards), hence, the association is negative as well.
Thus, the association corresponding to the graph is weak negative association.
Step 2 of 2:
Analyzing the second graph, it is evident that the scatter plot has a curvature. That is, the path followed by the points is nonlinear.
Hence, the corresponding association would be nonlinear association.
If the points are clustered around the trend line, it has a strong association or else weak. Slope of a line is its corresponding gradient measure.
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