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.

height and how frequently a person attends pop concerts

to measure height, the unit feet might be used.

to measure the frequency a person attends pop concerts, the unit might be used.

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

a. there is a negative correlation because the height of a person increases as the frequency a person attends pop concerts decreases.
b. there is a positive correlation because the height of a person increases as the frequency a person attends pop concerts increases.
c. the variables are not correlated.

Explanation:

Identify units for height

Using the Units of Measurement knowledge point

• Height measures vertical distance.
• Among the options, "feet" is the standard unit for measuring human height.

Identify units for frequency

Using the Units of Measurement knowledge point

• Frequency measures how often an event occurs over a period of time.
• The dropdown options show "number of attendances" (per year/month/etc.) as the logical measure of how frequently someone attends concerts.

Analyze correlation between variables

Using the Correlation Analysis knowledge point

• The two variables are a person's physical height and how frequently they attend pop concerts.
• There is no biological, social, or logical link suggesting that taller or shorter people attend more or fewer pop concerts.
• Therefore, these variables are not correlated.

Answer:

To measure height, the unit <blank>feet</blank> might be used.

To measure the frequency a person attends pop concerts, the unit <blank>number of attendances</blank> might be used.

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

• A. There is a negative correlation because the height of a person increases as the frequency a person attends pop concerts decreases.
• B. There is a positive correlation because the height of a person increases as the frequency a person attends pop concerts increases.
• C. The variables are not correlated. (Correct answer)