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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 7 9 12 Survival rate, y 90 46 30 5 3 The data were used to compute the equation of the least-squares line, which was ý = 101.26 - 9.23x. A newspaper article reported that "every minute spent waiting for paramedics to arrive with a defibrillator lowers the chance of survival by 10 percent." Is this statement consistent with the given least-squares line? Explain. Since the slope of the least-squares line is -101.26, we can say that every extra minute waiting for paramedics to arrive with a defibrillator lowers the chance of survival by 10.126 percentage points. Since the slope of the least-squares line is 101.26, we can say that every extra minute waiting for paramedics to arrive with a defibrillator raises the chance of survival by 10.126 percentage points. Since the slope of the least-squares line is 9.23, we can say that every extra minute waiting for paramedics t arrive with a defibrillator raises the chance of survival by 9.23 percentage points. There is not enough information from the least-squares line to make such a statement. Since the slope of the least-squares line is -9.23, we can say that every extra minute waiting for paramedics to arrive with a defibrillator lowers the chance of survival by 9.23 percentage points.

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 90 46 30 5 3 The data were used to compute the equation of the least-squares line, which was ý = 101.26 - 9.23x. A newspaper article reported that "every minute spent waiting for paramedics to arrive with a defibrillator lowers the chance of survival by 10 percent." Is this statement consistent with the given least-squares line? Explain. Since the slope of the least-squares line is -101.26, we can say that every extra minute waiting for paramedics to arrive with a defibrillator lowers the chance of survival by 10.126 percentage points. Since the slope of the least-squares line is 101.26, we can say that every extra minute waiting for paramedics to arrive with a defibrillator raises the chance of survival by 10.126 percentage points. Since the slope of the least-squares line is 9.23, we can say that every extra minute waiting for paramedics t arrive with a defibrillator raises the chance of survival by 9.23 percentage points. There is not enough information from the least-squares line to make such a statement. Since the slope of the least-squares line is -9.23, we can say that every extra minute waiting for paramedics to arrive with a defibrillator lowers the chance of survival by 9.23 percentage points.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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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 7 9 12 Survival rate, y 90 46 30 5 3 The data were used to compute the equation of the least-squares line, which was 3D 101.26 — 9.23х. A newspaper article reported that "every minute spent waiting for paramedics to arrive with a defibrillator lowers the chance of survival by 10 percent." Is this statement consistent with the given least-squares line? Explain. Since the slope of the least-squares line is -101.26, we can say that every extra minute waiting for paramedics to arrive with a defibrillator lowers the chance of survival by 10.126 percentage points. Since the slope of the least-squares line is 101.26, we can say that every extra minute waiting for paramedics to arrive with a defibrillator raises the chance of survival by 10.126 percentage points. Since the slope of the least-squares line is 9.23, we can say that every extra minute waiting for paramedics to arrive with a defibrillator raises the chance of survival by 9.23 percentage points. There is not enough information from the least-squares line to make such a statement. Since the slope of the least-squares line is -9.23, we can say that every extra minute waiting for paramedics to arrive with a defibrillator lowers the chance of survival by 9.23 percentage points.
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 7 9 12 Survival rate, y 90 46 30 5 3 The data were used to compute the equation of the least-squares line, which was 3D 101.26 — 9.23х. A newspaper article reported that "every minute spent waiting for paramedics to arrive with a defibrillator lowers the chance of survival by 10 percent." Is this statement consistent with the given least-squares line? Explain. Since the slope of the least-squares line is -101.26, we can say that every extra minute waiting for paramedics to arrive with a defibrillator lowers the chance of survival by 10.126 percentage points. Since the slope of the least-squares line is 101.26, we can say that every extra minute waiting for paramedics to arrive with a defibrillator raises the chance of survival by 10.126 percentage points. Since the slope of the least-squares line is 9.23, we can say that every extra minute waiting for paramedics to arrive with a defibrillator raises the chance of survival by 9.23 percentage points. There is not enough information from the least-squares line to make such a statement. Since the slope of the least-squares line is -9.23, we can say that every extra minute waiting for paramedics to arrive with a defibrillator lowers the chance of survival by 9.23 percentage points.
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