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Mathematics Clinic => Statistics => Topic started by: tiffannnnyyyyyy on Aug 30, 2019

Title: A school board study found a moderately strong negative association between the number of hours high ...
Post by: tiffannnnyyyyyy on Aug 30, 2019

Question 1

After conducting a marketing study to see what consumers thought about a new tinted contact lens they were developing, an eyewear company reported, "Consumer satisfaction is strongly correlated with eye color." Comment on this observation.

Question 2

A school board study found a moderately strong negative association between the number of hours high school seniors worked at part-time jobs after school hours and the students' grade point averages.

a. Explain in this context what "negative association" means.
b. Hoping to improve student performance, the school board passed a resolution urging parents to limit the number of hours students be allowed to work. Do you agree or disagree with the school board's reasoning?  Explain.

Title: A school board study found a moderately strong negative association between the number of hours high ...
Post by: Ahnyah on Aug 30, 2019

Answer 1

There may be an association between customer satisfaction and eye color, but these are both categorical variables so they cannot be "correlated."

Answer 2

a.  Students who worked more hours tended to have lower grades.
b.  They are mistakenly attributing the association to cause and effect. Maybe students with low grades are more likely to seek jobs, or maybe there is some other factor in their home life that leads both to lower grades and to the desire or need to work.

Title: A school board study found a moderately strong negative association between the number of hours high ...
Post by: tiffannnnyyyyyy on Aug 30, 2019

Thanks

Title: A school board study found a moderately strong negative association between the number of hours high ...
Post by: Ahnyah on Aug 30, 2019

Welcome :)