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Which of the following statements concerning the linear correlation coefficient is/are true? A: If the linear...

Which of the following statements concerning the linear correlation coefficient is/are true?

A: If the linear correlation coefficient for two variables is zero, then there is no relationship between the variables.

B: If the slope of the regression equation is negative, then the linear correlation coefficient is negative.

C: The value of the linear correlation coefficient always lies between -1 and 1 inclusive.

D: A correlation coefficient of 0.62 suggests a stronger linear relationship than a correlation coefficient of -0.82.

Math   Statistics-And-Probability   
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Answer #1

True statements are:

B: If the slope of the regression equation is negative, then the linear correlation coefficient is negative.

C: The value of the linear correlation coefficient always lies between -1 and 1 inclusive.

Statement A is false because, even if linear correlation coefficient is 0, there can be non-linear relationship between the two variables.

Statement D is false stronger relationship is for a correlation coefficient value closer to -1 or 1 and weaker relationship if for a correlation coefficient near 0.

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