A surgery intern has conducted a study of the sleeping habits of her colleagues

Question

A surgery intern has conducted a study of the sleeping habits of her colleagues and has developed a following regression equation:
Y = 6 + 0.1X,
where X is the number of hours working on one shift, and Y is the number of hours sleeping at night after that shift. Each work shift analyzed was between 8 and 24 hours long. All the following statements about the regression equation are true EXCEPT

The minimum amount of sleep an intern would get is 6.8 hours

For each hour working on a shift, interns slept an additional 0.1 hours

The minimum amount of sleep an intern would get is 6 hours

The maximum amount of sleep an intern would get is 8.4 hours

The minimum amount of sleep an intern would get is 6.8 hours

For each hour working on a shift, interns slept an additional 0.1 hours

The minimum amount of sleep an intern would get is 6 hours

The maximum amount of sleep an intern would get is 8.4 hours

Explanation / Answer

minimum amount of sleep will be given at the value of x=8, which is y=6+0.1*8=6.8. thus C is the answer because it is incorrect

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