If we assume that the conditions for correlation are met, which of the following are true? If false, explain briefly.

(A) A correlation of 0.02 indicates a strong possitive association

(B) Standardizing the variable will make the correlation 0

(C) Adding an outlier can dramatically change the correlation

A. False,

B. False,

C. True.

Step-by-step explanation:

We have been given three statements about the correlation. We are asked to determine which of the given statement are true.

(A) A correlation of 0.02 indicates a strong positive association.

We know that a correlation coefficient close to 1 represents positive association and a correlation coefficient close to 0 represents negative association.

Since our given correlation coefficient is close to 0, therefore, it represents negative association and given statement is false.

(B) Standardizing the variable will make the correlation 0.

We know that standardizing the variable does not change the correlation.

If correlation between the variables was 0, then the correlation between standardized variables also will be 0. Therefore, the given statement is false.

(C) Adding an outlier can dramatically change the correlation.

We know that correlation is strongly influenced by outliers, therefore, the given statement is false.