Which of the following statements about the correlation coefficient are true? Ch

Question

Which of the following statements about the correlation coefficient are true? Check all that apply. If the correlation coefficient between two variables is close to -1, there is a negative linear relationship between the two variables. Correlation measures and describes the behavior of a single variable. The sign of the correlation coefficient indicates the direction of the relationship between two variables. A negative correlation coefficient means that two variables tend to change in the same direction. A positive correlation coefficient means that two variables tend to change in the same direction. The correlation coefficient is scaleless: that is, it doesn't change when the measurement units are changed for either or both of the variables. The correlation coefficient indicates the strength and the direction of the linear relationship between two variables.

Explanation / Answer

1. TRUE.

If the correlation coefficient between x and y is -1, it indicated an negative linear (i.e., inverse) relation between x and y

2. FALSE:

Two variables

3. True.

Positive value indicates direct relation. Negative value indicates indirect relation.

4. FALSE:

opposie

5. TRUE.

same direction. i.e., if x increases, y will increase. If x decreases, y will decrease.

7. True.

Correclation coefficient is a pure number: dimensionless

8. True.

If is near to + 1 or - 1, it is strong. near to 0 indicaes weak. Positive correlation denotes direct relation. Negative indicates inverse reltion.

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