Question

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? a 0.71 b 0.00 c -0.14 d -0.87 e -1.00

Explanation:

Step1: Recall correlation concept

A strong linear relationship means a high - magnitude correlation coefficient. A negative correlation implies that as one variable (hours of exercise) increases, the other (resting heart rate) decreases.

Step2: Identify the correct value

Since there is a strong linear relationship and more exercise leads to a lower resting heart rate (negative correlation), we need a value close to - 1. Among the options, - 0.87 is a strong negative correlation value.

Answer:

D. - 0.87