Question

A school guidance counselor examines how many extracurricular activities students participate in and their grade point average. The guidance counselor says, “The evidence indicates the correlation between the number of extracurricular activities. a student participates in and his or her grade point average is close to 0.” Which of the following is the most appropriate conclusion?

a. Students involved in many extracurricular activities tend to be students with poor grades.

b. Students with good grades tend to be students who are not involved in many extracurricular activities.

c. Students involved in many extracurricular activities are just as likely to get good grades as bad grades.

d. Students with good grades tend to be students who are involved in many

extracurricular activities.

e. No conclusion should be made based on the correlation without looking at a scatterplot of the data.

Short answer

The correct option is (e).

Step-by-step solution

Given information

"The evidence suggests the association between the amount of extracurricular activities," the guidance counsellor explains. a kid takes part in and has a near-zero grade point average."

Explanation

We must determine which of the following conclusions is the most appropriate. Thus, all of the options except (e) are incorrect because the statements show that there is no, negative, or positive relationship between the variables. However, option (e) makes a good point, stating that we should examine the scatterplot to see if the variables appear to have a curved relationship. Thus, option (e) is the correct option.