Which of the following statements about the correlation coefficient is true?
A)One should not accept that a correlation coefficient represents a relationship unless it is significant.
B)Unless a correlation coefficient is zero,it represents a relationship.
C)Positive correlation coefficients tend to be significant more often than negative ones.
D)Sampling error does not apply to the correlation coefficient.

Question

Quizplus · Accepted Answer

Significance is an important consideration when interpreting a correlation coefficient. A non-significant correlation coefficient may not represent a true relationship, while a significant correlation coefficient indicates that the relationship between the variables is unlikely to be due to chance. Therefore, one should not accept that a correlation coefficient represents a relationship unless it is significant. The other options are incorrect. A correlation coefficient can be zero when two variables do not show any relationship. Positive and negative correlation coefficients are equally likely to be significant. Sampling error can affect the correlation coefficient just like any other statistical measure.

Which of the Following Statements About the Correlation Coefficient Is