A fitness store conducted a study and randomly chose 10 people to complete a survey regarding the number of months they owned a treadmill and the number of hours they spent exercising in the past week. The data is presented below. Note that it has been ordered from fewest to most months owned to make it easier to view the data.PersonABCDEFGHIJMonths Owned124567891012Hours Exercised10885753523The relationship between the “number of months the treadmill was owned” and the “number of hours it was used by the buyer in the past week” is an example of:a. Negative correlation.b. Positive correlation.c. No relationship.d. Causation.e. More information is needed.
To determine the relationship between the “number of months the treadmill was owned” and the “number of hours it was used by the buyer in the past week,” we need to examine the data provided
To determine the relationship between the “number of months the treadmill was owned” and the “number of hours it was used by the buyer in the past week,” we need to examine the data provided.
By looking at the data, we can see that as the number of months owned increases, the number of hours exercised tends to decrease. For example, the person who owned the treadmill for 12 months exercised for only 3 hours, while the person who owned it for 1 month exercised for 10 hours. This data pattern suggests a reverse relationship where an increase in one variable (months owned) leads to a decrease in the other variable (hours exercised).
Therefore, in this case, the relationship between the “number of months the treadmill was owned” and the “number of hours it was used by the buyer in the past week” is an example of a negative correlation.
Hence, the correct answer is a. Negative correlation.
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