A correlation of r = 0.85 is found between weekly sales of firewood and cough drops over a 1-year period. Which of the following is a correct interpretation of this correlation value?

a. There is a pretty strong positive linear relationship between sales of firewood and cough drops.
b. Temperature is a possible lurking variable that is behind this relationship.
c. Fire must be the cause of coughing.

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The correlation Coefficient is a metric which gives the strength and direction of the relationship which exists between an independent and dependent variable. Hence, correlation Coefficient value of 0.85 infers that, there is a pretty strong positive linear relationship.

  • The closer the correlation Coefficient is to 1 or - 1, the more the strength of the relationship.

  • 0.85 is close to 1, hence, a strong linear relationship exists between the correlated variables.

Hence, the most appropriate option is, There is a pretty strong positive linear relationship.

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