Suppose that a scatter diagram depicts a relationship between the two variables that can be summarized by a straight line.The correlation coefficient is computed and results in a value of -0.73.Which of the following is NOT TRUE?
A)There is a negative relationship between the two variables.
B)Two other variables having a correlation coefficient of -0.87 would have a stronger linear relationship.
C)In general, an increase in one variable is associated with an increase in the other variable.
D)Even though the correlation coefficient is less than zero, the correlation coefficient still communicates the strength of the linear relationship.

Question

Quizplus · Accepted Answer

A correlation coefficient of -0.73 indicates a negative linear relationship between the two variables. Option A is true, and option B is false because a correlation coefficient of -0.87 would indicate a stronger negative linear relationship. However, option C is false because a negative correlation coefficient indicates that an increase in one variable is associated with a decrease in the other variable, not an increase. Option D is true, as the correlation coefficient still communicates the strength of the linear relationship, regardless of its sign.

Suppose That a Scatter Diagram Depicts a Relationship Between the Two