Answer :
Final answer:
The predicted resting heart rate for someone exercising 10 hours per week, using the given regression equation (ŷ = 80.2 – 4.2x), is 38.2 beats per minute.
Explanation:
The student's question revolves around the interpretation and application of a simple linear regression equation in order to predict a resting heart rate based on the number of hours of exercise. The provided regression equation is ŷ = 80.2 – 4.2x, where 'x' represents the hours of exercise and 'ŷ' stands for the predicted resting heart rate.
To find the predicted resting heart rate for someone who exercises 10 hours per week, we simply insert '10' into the regression equation in the place of x and solve the equation. That means:
ŷ = 80.2 – 4.2 * 10
ŷ = 80.2 - 42
ŷ = 38.2
Therefore, the predicted resting heart rate for someone exercising 10 hours per week would be 38.2 beats per minute, which corresponds to answer option d.
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