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

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

Quizplus · Accepted Answer

II: A negative slope in the regression line indicates a negative relationship between the variables, which means the linear correlation coefficient is negative. III: The linear correlation coefficient, by definition, ranges between -1 and 1, indicating the strength and direction of a linear relationship between two variables.

Which of the Following Statements Concerning the Linear Correlation Coefficient