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A researcher studies the relationship between the number of hours of sleep per night and the performance on a memory test. Stady participants are randomly selected to get no sleep or sleep in 1-hour increments, up to 8 hours total (that is, the participant gets 1 hour, 2 hours, and so on, up to 8 hours of sleep). The researcher determines that the association between the two variables can be modeled with the linear equation p= 9h 15, where his number of hours of sleep and p is the percentage score on the memory test. Use the slope in the equation to describe the association between the hours of sleep and the performance on the memory test

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Raphealnwobiid Raphealnwobiid · Answer 1

The slope of the equation is 9, hence the percentage score increases by 9% for each hour he sleeps.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Let p represent the percentage score on a memory test after sleeping for h hours. Given:

p = 9h + 15

Since the slope of the equation is 9, hence the percentage score increases by 9% for each hour he sleeps.

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