Studies have shown that people who suffer sudden cardiac arrest
have a better chance of survival if a defibrillator shock is
administered very soon after cardiac arrest. How is survival rate
related to the time between when cardiac arrest occurs and when the
defibrillator shock is delivered?
The accompanying data give y = survival rate (percent) and
x = mean call-to-shock time (minutes) for a cardiac
rehabilitation center (in which cardiac arrests occurred while
victims were hospitalized and so the call-to-shock time tended to
be short) and for four communities of different sizes:
Mean call-to-shock time, x | 2 | 6 | 7 | 9 | 12 |
---|---|---|---|---|---|
Survival rate, y | 91 | 45 | 31 | 5 | 2 |
a) Find the equation of the least-squares line. (Round your values to three decimal places.)
ŷ = ___ + ( ___ )x
b) Use the least-squares line to predict survival rate for a
community with a mean call-to-shock time of 10 minutes. (Round your
answer to three decimal places.)
ŷ =
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