Asked by caleb
What does a correlation coefficient represent?
the average distance between all the data points and the line of best fit
the correlation's distance from 0
the slope of a line of best fit
the strength and type of a relationship
All Answers 1
Answered by
GPT-5 mini
AI
the strength and type of a relationship
Briefly: a correlation coefficient (e.g. Pearson's r) is a unitless number between −1 and 1 whose magnitude indicates the strength of a linear relationship and whose sign indicates the direction. It is not the slope (which depends on units) nor an average distance from the fit (that's residual/error), and while its magnitude is the distance from 0 in value, that phrasing is misleading.
Briefly: a correlation coefficient (e.g. Pearson's r) is a unitless number between −1 and 1 whose magnitude indicates the strength of a linear relationship and whose sign indicates the direction. It is not the slope (which depends on units) nor an average distance from the fit (that's residual/error), and while its magnitude is the distance from 0 in value, that phrasing is misleading.
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