SOLUTION: ____The correlation coefficient between the hours that a peron is awake during a 24-hour period and the hours that same person is asleep during a 24-hour period is most likely to b

Algebra ->  Statistics  -> Correlation -> SOLUTION: ____The correlation coefficient between the hours that a peron is awake during a 24-hour period and the hours that same person is asleep during a 24-hour period is most likely to b      Log On


   



Question 934822: ____The correlation coefficient between the hours that a peron is awake during a 24-hour period and the hours that same person is asleep during a 24-hour period is most likely to be
A)Near 0 ; B)Near -0.8 ; C)Near +0.8 ; D)Exactly -1.0 ; E)Exactly +1.0

Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If

x = # of hours person is awake
y = # of hours person is asleep

then we know that x+y = 24 which turns into y = -x + 24.
We have a perfect linear correlation going on here which means r = -1.0.
The value of r is negative to reflect the fact we have a negative slope.

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Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if x is the number of hours you sleep and y is the number of hours you're awake, x and y are related exactly by a linear equation y=mx%2Bb with a negative slope
so, y=24-x or y=-x%2B24 where a slope is -1

The correct answer is: D) exactly -1.0