Multiple Choice
In the context of scatterplots and correlation, what does the statement "correlation does not imply causation" mean?
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11. Correlation
Scatterplots & Intro to Correlation
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In a scatterplot, which description best represents a strong negative correlation?
A
As increases, tends to increase in a tight linear pattern, with correlation close to .
B
As increases, tends to decrease in a tight linear pattern, with correlation close to .
C
There is no clear linear trend between and , with correlation close to .
D
As increases, decreases but with a very scattered pattern, with correlation close to .
Verified step by step guidance1
Understand that correlation measures the strength and direction of a linear relationship between two variables, \(x\) and \(y\).
Recall that a correlation close to \(+1\) indicates a strong positive linear relationship, where \(y\) increases as \(x\) increases.
Recognize that a correlation close to \(-1\) indicates a strong negative linear relationship, where \(y\) decreases as \(x\) increases in a tight linear pattern.
Note that a correlation close to \$0\( means there is no clear linear trend between \)x\( and \)y$.
Identify that a strong negative correlation is best described as: 'As \(x\) increases, \(y\) tends to decrease in a tight linear pattern, with correlation close to \(-1\).'
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