객관식
Which of the following -values represents the most moderate correlation?
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11. Correlation
Correlation Coefficient
객관식
What would the scatter plot look like for data that produce a Pearson correlation coefficient of ?
A
The points would form a perfect straight line with a negative slope.
B
The points would be widely scattered with no apparent pattern.
C
The points would form a tight cluster around a line with a strong negative slope.
D
The points would form a tight cluster around a line with a strong positive slope.
검증된 단계별 안내1
Recall that the Pearson correlation coefficient \(r\) measures the strength and direction of a linear relationship between two variables.
Understand that \(r\) ranges from \(-1\) to \(+1\), where values close to \(+1\) indicate a strong positive linear relationship, values close to \(-1\) indicate a strong negative linear relationship, and values near \(0\) indicate little to no linear relationship.
Since \(r = +0.88\) is close to \(+1\), this suggests a strong positive linear relationship between the variables.
In a scatter plot, a strong positive correlation means the points will be clustered tightly around a line that slopes upward from left to right.
Therefore, the scatter plot would show points forming a tight cluster around a line with a strong positive slope, reflecting the high positive correlation.
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