Questions: app.sophia.org Question Tutorials Which of the following data sets would most likely have a negative association and a correlation coefficient between 0 and -1 ? a.) Average annual temperature in the United States Annual sweater sales by an American retailer b.) Number of miles driven Number of radio stations listened to c.) Age of baby Weight of baby d.) Number of minutes spent exercising Number of calories burned SUBMIT MY ANSWER Report an issue with this question

Solution Steps

A negative association between two variables means that as one variable increases, the other variable tends to decrease. The correlation coefficient for a negative association is between 0 and -1.

• Option a: Average annual temperature in the United States and annual sweater sales by an American retailer.
  As the temperature increases, sweater sales are likely to decrease, indicating a negative association.

• Option b: Number of miles driven and number of radio stations listened to.
  There is no clear negative association; these variables might not be directly related.

• Option c: Age of baby and weight of baby.
  As a baby ages, their weight typically increases, indicating a positive association.

• Option d: Number of minutes spent exercising and number of calories burned.
  As exercise time increases, calories burned also increase, indicating a positive association.

The option that most likely has a negative association is option a, where an increase in temperature is associated with a decrease in sweater sales.

Final Answer