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Which of the following are characteristics of the correlation coefficient?


Check all that apply.

AIt must be between -1 and 1.
BIt must be positive.
CIt indicates the percentage of points that lie on the regression line.
DThe correlation coefficient tells you how strong the residuals are.
EIf correlation is positive, the slope of the regression line is also positive

Verified Answer :

AIt must be between -1 and 1 
E. If correlation is positive, the slope of the regression line is also positive.

This is about knowledge between Correlation and Regression.

Option A and E are correct.


  • Correlation Coefficient is the statistical relationship that exists between two variables. Let us look at the options;

Option A; Under different types of correlation coefficient they tend to make use of different range for their definitions but it is always between minimum of -1 and maximum of 1. Thus, the statement is correct.

Option B; It must not be positive because as stated in option A above negative values can be used.

Option C; No, it doesn't indicate percentage of points because in the definition i gave earlier, there is nothing like that. Besides, this is in regression and not correlation.

Option D; This is incorrect as the definition doesn't support it.

Option E; This is correct because positive correlation means that the two variables increase at the same time or decrease at the same time. Thus, it means the regression line will be positive as long as correlation is positive.

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