Question

Two variables are correlated with r = -0.23. Which description best describes the strength and direction of the association between the variables?

Answer 1

When the correlation coefficient is negative, it signifies that the relationship of the variables is inverse which means as one increases, the other decreases. However, when the value is close to zero the strength of the correlation is low. Hope this helps.

Answer 2

Answer:

Negative and weak correlation

Step-by-step explanation:

Correlation is another word for association. If there is a positive association between two variables, i.e. whenever x increases y decreases then we will have covariance (x,y) as positive and hence correlation also positive

Correlation denoted by r lies between -1 and 1

If |r| is nearer to 1, we say strong correlation otherwise weak correlation

Two variables x and y are said to have correlation as -0.23

Since 0.23 is nearer to 0 than to 1 we say they are weakly correlated

Since r has a negative sign, we find that the two variables are negatively correlated and also weak.