Question

A researcher is conducting a study and you are hired to help them analyse their data. They have already looked at scatterplots and they give you only the linear correlation coefficient to consider. Suppose a correlation of r = .85 is found between weekly sales of firewood and cough drops over a 1-year period. Based on this information given, what would you advise?

Answer 1

There is a strong positive relationship between sales of firewood and cough drops.

Explanation:

Correlation Coefficient

• Correlation is a technique that help us to find or define a relationship between two variables.
• It is a measure of linear relationship between two quantities.
• Values between 0 and 0.3 tells about a weak positive linear relationship, values between 0.3 and 0.7 shows a moderate positive correlation and a correlation of 0.7 and 1.0 states a strong positive linear relationship.

Thus, a coefficient correlation of 0.85 between weekly sales of firewood and cough drops over a 1-year period suggest that there is a strong positive relationship between sales of firewood and cough drops.

Thus, as the sale of firewood increase there is an increase in the sale of cough drops.