Question

for the following pair of variables, state the units that might be used to measure each variable. then state whether you believe that they are correlated. if you believe they are correlated, state whether the correlation is positive or negative. explain your reasoning.

weight and how frequently a person attends rock concerts

to measure weight, the unit pounds might be used.
to measure the frequency a person attends rock concerts, the unit number of attendances might be used.

what correlation, if any, is there between the variables?

a. there is a positive correlation because the weight of a person tends to increase when the frequency a person attends rock concerts increases.
b. there is a negative correlation because the weight of a person tends to increase when the frequency a person attends rock concerts decreases.
c. the variables are not correlated.

Explanation:

Identify units of measurement

Using the Units of Measurement knowledge point

• Weight is measured in units of mass/force, such as pounds or kilograms.
• Attendance frequency is measured by counting occurrences, such as number of attendances per year.

Analyze correlation between variables

Using the Correlation Analysis knowledge point

• There is no logical physical, biological, or behavioral link connecting a person's body weight to how often they attend rock concerts.
• Therefore, changes in one variable do not systematically relate to changes in the other, meaning they are not correlated.

Answer:

• (A) There is a positive correlation because the weight of a person tends to increase when the frequency a person attends rock concerts increases.
• (B) There is a negative correlation because the weight of a person tends to increase when the frequency a person attends rock concerts decreases.
• (C) The variables are not correlated. (Correct answer)