Which of the following statements concerning the linear correlation coefficient are true?_ I: If the linear correlation coefficient for two variables is zero, then there is no relationship
Between the variables.
II: If the slope of the regression line is negative, then the linear correlation coefficient is
Negative.
III: The value of the linear correlation coefficient always lies between −1 and 1.
IV: A linear correlation coefficient of 0.62 suggests a stronger linear relationship than a linear
Correlation coefficient of -0.82.
A)I and IV
B)III and IV
C)II and III
D)I and II

Question

Quizplus · Accepted Answer

II is true because the sign of the linear correlation coefficient indicates the direction of the relationship; a negative slope in the regression line means a negative correlation. III is true because by definition, the linear correlation coefficient (also known as Pearson's r) ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and values close to 0 indicate a weak linear relationship.

Which of the Following Statements Concerning the Linear Correlation Coefficient