Answer to Question #94982 in Statistics and Probability for jon bon

Question #94982
In a study of 6-11 year old elementary school children, data shows a strong positive correlation between measures of physical coordination and math scores. For example, scores on arithmetic problems are strongly associated with the time it takes to run a 50-yard race, r = 0.83.

Which of the following is the most appropriate conclusion given this finding?
1
Expert's answer
2019-09-23T09:29:37-0400

In a study of 6-11 year old elementary school children, data shows a strong positive correlation between measures of physical coordination and math scores. For example, scores on arithmetic problems are strongly associated with the time it takes to run a 50-yard race, r = 0.83.

Which of the following is the most appropriate conclusion given this finding?


A) Arithmetic improves coordination. 

B) To improve arithmetic scores the school should require students to get exercise, like running.

C) Age is a probably lurking variable in this study.


Solution

A relation that appears to exist between a certain explanatory variable and the response variable may be due to some other variable or variables not accounted for in the study. These variables are called lurking variables.

Age is actually the cause for stronger math scores. However, because age and speed are closely correlated, researchers may falsely assume that running speed is effecting math score.


Correct answer

C) Age is a probably lurking variable in this study.


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