wildlife researcher is interested in predicting a mammal’s lifespan (in years) based on its average number of hours of sleep per night.  Data was obtained from a large random sample of mammals, and the regression equation turned out as follows: Predicted lifespan = 36.93 – 1.64 (average hours of sleep)

Calculus For The Life Sciences
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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9. A wildlife researcher is interested in predicting a mammal’s lifespan (in years) based on its average number of hours of sleep per night.  Data was obtained from a large random sample of mammals, and the regression equation turned out as follows:

Predicted lifespan = 36.93 – 1.64 (average hours of sleep)

Which one of the following statements is a correct interpretation of this equation?

 

1. Approximately 1.64% of the variability in lifespan can be explained by the regression equation.

2. As lifespan increases by one year, average hours of sleep is predicted to decrease by 1.64 hours.

3. As lifespan increases by one year, average hours of sleep is predicted to increase by 36.93 hours.

4. As average hours of sleep increases by one hour, lifespan is predicted to increase by 36.93 years.

5. As average hours of sleep increases by one hour, lifespan is predicted to decrease by 1.64 years.

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