Let’s say that, generally speaking, Amy thinks exercise is good for your health, but if you exercise for more than four hours per day, every day, exercise begins harming your health. Amy runs the following regression. Exercise is in hours of exercise per week. Does the following equation support Amy’s belief? Please explain.
Health = 6 + 30Exercise – 12Exercise2.
In case, the squared term doesn't appear correctly in some people's browsers, I have written the above formula a slightly different way below.
Health = 6 + 30Exercise – 12Exercise^2.
Answer:
As per the given model i.e
Health = 6 + 30Exercise – 12Exercise2
In which it could be say that Health of the Amy depends on the exercise which he do have. For check the impact of exercise on health when he take more than four hour exercise.
Exercise (in Hr) | Health = 6 + 30Exercise – 12Exercise2 |
1 | 24 |
2 | 18 |
3 | -12 |
4 | -66 |
5 | -144 |
We clearly see that when amy take 3 or more than three hour exercise the health start to decline therefore Amy thinks exercise is good for your health is true when it will take for 1 or less hour, but if you exercise for more than four hours per day, every day, exercise begins harming your health as depict by the model.
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