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. (a) Construct a scatterplot for these data. y 12. 10 O Mean call-to-shock time, x Survival rate, y 8 6 20 40 60 2 91 80 x 6 44 32 6 7 9 12 100 4 y 12 10 O 20 40 (b) Find the equation of the least-squares line. (Round your values to four decimal places.) 9 = | +( 60 80 100 X y 100 80 60 40 20 2 4 6 8 10 (c) Use the least-squares line to predict survival rate for a community with a mean call-to-shock time of 8 minutes. (Round your answer to three decimal places.) 12 y 100 @ 80 60 40 20 How would you describe the relationship between mean call-to-shock time and survival rate? O There is a strong positive relationship. The relationship is close to being linear, particularly if the point with the lowest x value is disregarded. If that point is included then there is the suggestion of a curve. O There is a strong positive relationship. The relationship is close to being linear, particularly if the point with the highest x value is disregarded. If that point is included then there is the suggestion of a curve. O There is a strong negative relationship. The relationship is close to being linear, particularly if the point with the lowest x value is disregarded. If that point is included then there is the suggestion of a curve. There is a strong negative relationship. The relationship is close to being linear, particularly if the point with the highest x value is disregarded. If that point is included then there is the suggestion of a curve. 2 4 6 8 10 12 X n

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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 79 12
Survival rate, y
(a) Construct a scatterplot for these data.
y
12.
10
O
8
6
20
40
60
91 44 32 6 4
80
100
y
100
80
60
ELL
40
20
2 4
6
8
X
12
10
8
6
4
20
40
60
(b) Find the equation of the least-squares line. (Round your values to four decimal places.)
ŷ=
Jx
80
100
10 12
(c) Use the least-squares line to predict survival rate for a community with a mean call-to-shock time of 8 minutes. (Round your answer to three decimal places.)
y
100
80
60
40
20
2
4
How would you describe the relationship between mean call-to-shock time and survival rate?
O There is a strong positive relationship. The relationship is close to being linear, particularly if the point with the
lowest x value is disregarded. If that point is included then there is the suggestion of a curve.
O There is a strong positive relationship. The relationship is close to being linear, particularly if the point with the highest x value is disregarded. If that point is included then there is the suggestion of a curve.
O There is a strong negative relationship. The relationship is close to being linear, particularly if the point with the lowest x value is disregarded. If that point is included then there is the suggestion of a curve.
There is a strong negative relationship. The relationship is close to being linear, particularly if the point with the highest x value is disregarded. If that point is included then there is the suggestion of a curve.
6
8 10 12
X
@
Transcribed Image Text: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 79 12 Survival rate, y (a) Construct a scatterplot for these data. y 12. 10 O 8 6 20 40 60 91 44 32 6 4 80 100 y 100 80 60 ELL 40 20 2 4 6 8 X 12 10 8 6 4 20 40 60 (b) Find the equation of the least-squares line. (Round your values to four decimal places.) ŷ= Jx 80 100 10 12 (c) Use the least-squares line to predict survival rate for a community with a mean call-to-shock time of 8 minutes. (Round your answer to three decimal places.) y 100 80 60 40 20 2 4 How would you describe the relationship between mean call-to-shock time and survival rate? O There is a strong positive relationship. The relationship is close to being linear, particularly if the point with the lowest x value is disregarded. If that point is included then there is the suggestion of a curve. O There is a strong positive relationship. The relationship is close to being linear, particularly if the point with the highest x value is disregarded. If that point is included then there is the suggestion of a curve. O There is a strong negative relationship. The relationship is close to being linear, particularly if the point with the lowest x value is disregarded. If that point is included then there is the suggestion of a curve. There is a strong negative relationship. The relationship is close to being linear, particularly if the point with the highest x value is disregarded. If that point is included then there is the suggestion of a curve. 6 8 10 12 X @
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