A negative value for a correlation indicates:
a. a much weaker relationship than if the correlation were positive.
b. a much stronger relationship than if the correlation were positive.
c. increases in X tend to be accompanied by increases in Y.
d. increases in X tend to be accompanied by decreases in Y.
The correlation is one of the tools or measures in the descriptive statistics which is used to detect the relationship between the two variables. Its value strictly lies between the values -1 and 1.
Answer and Explanation:
A negative value of correlation between the two variables indicate that they both move in opposite directions, that is, if one increases then the other one decreases.
Therefore, option d) is correct, which is, "increases in X tend to be accompanied by decreases in Y".
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from Introduction to Statistics: Help and ReviewChapter 8 / Lesson 13