For a random sample of 20 professional athletes, there is a strong, linear relationship between the number of hours they exercise per week and their resting heart rate. For the athletes in the sample, those who exercise more hours per week tend to have lower resting heart rates than those who exercise less. Which of the following is a reasonable value for the correlation between the number of hours athletes exercise per week and their resting heart rate?

The question states that it is a strong, linear relationship, so the value should be close to 1. Those who exercise more have a lower resting heart rate, so this means that it would be a negative number. -0.87 is a correlation coefficient that is strong since it is close to -1.

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fichoh fichoh · Answer 2 · 2021-10-14T11:47:29+02:00

A reasonable value for the correlation Coefficient between the variables which depicts a strong negative association between then ls - 0.87

The Correlation Coefficient ranges from - 1 to + 1 and gives the strength of relationship between two variables

The closer the value is to - 1 or 1, the stronger the association between the variables

Negative values depicts negative relationships such that one variable decreases as the other increases and vice versa

Positive values depicts positive association wiyh values decreases and decreasing accordingly.

A value of 1 or - 1 depicts a perfect relationship.

Since, we relationship between the variables isn't perfect, but strong and negative, then the most reasonable value of correlation is - 0.87.

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