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) III and IV
B) I and II
C) II and III
D) I and IV

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) III and IV
B) I and II
C) II and III
D) I and IV

Quizplus · Accepted Answer

Statement II is true because a negative slope indicates a negative correlation. Statement III is true because the linear correlation coefficient always ranges from -1 to 1. Statement I is false because a zero correlation coefficient indicates no linear relationship, but there could be a non-linear relationship. Statement IV is false because -0.82 indicates a stronger linear relationship than 0.62, despite being negative.

Which of the Following Statements Concerning the Linear Correlation Coefficient