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Find the equation of the least-squares line. (Round your values to four decimal places.) Use the least-squares line to predict survival rate for a community with a mean call-to-shock time of 8

Find the equation of the least-squares line. (Round your values to four decimal places.) Use the least-squares line to predict survival rate for a community with a mean call-to-shock time of 8

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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(b) Find the equation of the least-squares line. (Round your values to four decimal places.) \(\hat{y} = \underline{\hspace{2cm}} + \left(\underline{\hspace{2cm}}\right)x\) (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.) \(\underline{\hspace{2cm}}\)
Transcribed Image Text:(b) Find the equation of the least-squares line. (Round your values to four decimal places.) \(\hat{y} = \underline{\hspace{2cm}} + \left(\underline{\hspace{2cm}}\right)x\) (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.) \(\underline{\hspace{2cm}}\)
**Study on Cardiac Arrest and Defibrillator Shock Timing** Studies indicate that individuals who experience sudden cardiac arrest have improved survival chances if a defibrillator shock is rapidly administered. The question explored here is: How is the survival rate influenced by the duration between the occurrence of cardiac arrest and the administration of the defibrillator shock? The data provided examines the relationship between the survival rate (y, in percent) and the mean call-to-shock time (x, in minutes) for both a cardiac rehabilitation center (where arrests occur while victims are hospitalized, leading to shorter call-to-shock times) and four different communities of varying sizes. **Data Table:** | **Mean call-to-shock time, x (minutes)** | 2 | 6 | 7 | 9 | 12 | |------------------------------------------|----|----|----|----|----| | **Survival rate, y (percent)** | 91 | 46 | 32 | 6 | 4 | **Explanation:** - The table illustrates that as the mean call-to-shock time increases, the survival rate significantly decreases. For instance, with a call-to-shock time of 2 minutes, the survival rate is 91%, but it drops to 4% with a 12-minute delay. - This data highlights the critical importance of minimizing the time between cardiac arrest occurrence and defibrillator intervention to improve survival outcomes.
Transcribed Image Text:**Study on Cardiac Arrest and Defibrillator Shock Timing** Studies indicate that individuals who experience sudden cardiac arrest have improved survival chances if a defibrillator shock is rapidly administered. The question explored here is: How is the survival rate influenced by the duration between the occurrence of cardiac arrest and the administration of the defibrillator shock? The data provided examines the relationship between the survival rate (y, in percent) and the mean call-to-shock time (x, in minutes) for both a cardiac rehabilitation center (where arrests occur while victims are hospitalized, leading to shorter call-to-shock times) and four different communities of varying sizes. **Data Table:** | **Mean call-to-shock time, x (minutes)** | 2 | 6 | 7 | 9 | 12 | |------------------------------------------|----|----|----|----|----| | **Survival rate, y (percent)** | 91 | 46 | 32 | 6 | 4 | **Explanation:** - The table illustrates that as the mean call-to-shock time increases, the survival rate significantly decreases. For instance, with a call-to-shock time of 2 minutes, the survival rate is 91%, but it drops to 4% with a 12-minute delay. - This data highlights the critical importance of minimizing the time between cardiac arrest occurrence and defibrillator intervention to improve survival outcomes.
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