Question

Which of the following statements are true? Select all that apply.

The correlation coefficient, r, is equal to the number of data points that lie on the regression line divided by the total number of data points.
The correlation coefficient gives us information about the number of outliers compared to the number of data points.
The correlation coefficient is a unitless number and must always lie between –1.0 and +1.0, inclusive.
The correlation coefficient, r, gives us information about the strength and direction of a linear relationship between any two variables.
If r is the correlation between two variables x and y then -r is the correlation between y and x.
The larger r is in absolute value, the stronger the relationship is between the two variables.

Answer 1

The correct statements are as follows:

Correlation coefficients are used to measure the strength, like weaker or stronger relationship between two variables.

The correlation coefficient is a unit less number and must always lie between –1.0 and +1.0, inclusive.

The correlation coefficient, r , gives us information about the strength and direction of a linear relationship between any two variables. We can say that r > 0 is a positive correlation and r < 0 is negative. |r| closer to 1 is a stronger correlation.

The larger r is in absolute value, the stronger the relationship is between the two variables.

Answer 2

The correlation coefficient is a value that signifies correlation and dependence between two or more values. The following statements are true:
- The correlation coefficient is a unitless number and must always lie between –1.0 and +1.0, inclusive.
- The correlation coefficient, r, gives us information about the strength and direction of a linear relationship between any two variables.
- The larger r is in absolute value, the stronger the relationship is between the two variables.