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 46 31 6 3 (a) Construct a scatterplot for these data. A scatterplot has 5 points. The horizontal axis is labeled "x" and has values from 0 to 100. The vertical axis is labeled "y" and has values from 0 to 13. 1 point is plotted at approximately (2.5, 2). 4 points are plotted in an almost straight line from approximately (5, 6) up and right to approximately (90, 12). A scatterplot has 5 points. The horizontal axis is labeled "x" and has values from 0 to 13. The vertical axis is labeled "y" and has values from 0 to 100. 1 point is plotted at approximately (2, 2.5). 4 points are plotted in an almost straight line from approximately (6, 5) up and right to approximately (12, 90). A scatterplot has 5 points. The horizontal axis is labeled "x" and has values from 0 to 100. The vertical axis is labeled "y" and has values from 0 to 13. 1 point is plotted at approximately (2.5, 12). 4 points are plotted in an almost straight line from approximately (5, 9) down and right to approximately (90, 2). A scatterplot has 5 points. The horizontal axis is labeled "x" and has values from 0 to 13. The vertical axis is labeled "y" and has values from 0 to 100. 1 point is plotted at approximately (12, 2.5). 4 points are plotted in an almost straight line from approximately (2, 90) down and right to approximately (9, 5). How would you describe the relationship between mean call-to-shock time and survival rate? 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.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. 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.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. (b) Find the equation of the least-squares line. (Round your values to four decimal places.) ŷ = + 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.)

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 46 31 6 3 (a) Construct a scatterplot for these data. A scatterplot has 5 points. The horizontal axis is labeled "x" and has values from 0 to 100. The vertical axis is labeled "y" and has values from 0 to 13. 1 point is plotted at approximately (2.5, 2). 4 points are plotted in an almost straight line from approximately (5, 6) up and right to approximately (90, 12). A scatterplot has 5 points. The horizontal axis is labeled "x" and has values from 0 to 13. The vertical axis is labeled "y" and has values from 0 to 100. 1 point is plotted at approximately (2, 2.5). 4 points are plotted in an almost straight line from approximately (6, 5) up and right to approximately (12, 90). A scatterplot has 5 points. The horizontal axis is labeled "x" and has values from 0 to 100. The vertical axis is labeled "y" and has values from 0 to 13. 1 point is plotted at approximately (2.5, 12). 4 points are plotted in an almost straight line from approximately (5, 9) down and right to approximately (90, 2). A scatterplot has 5 points. The horizontal axis is labeled "x" and has values from 0 to 13. The vertical axis is labeled "y" and has values from 0 to 100. 1 point is plotted at approximately (12, 2.5). 4 points are plotted in an almost straight line from approximately (2, 90) down and right to approximately (9, 5). How would you describe the relationship between mean call-to-shock time and survival rate? 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.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. 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.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. (b) Find the equation of the least-squares line. (Round your values to four decimal places.) ŷ = + 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.)

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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Question

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	46	31	6	3

(a)

Construct a scatterplot for these data.

A scatterplot has 5 points.

The horizontal axis is labeled "x" and has values from 0 to 100.
The vertical axis is labeled "y" and has values from 0 to 13.
1 point is plotted at approximately (2.5, 2).
4 points are plotted in an almost straight line from approximately (5, 6) up and right to approximately (90, 12).

A scatterplot has 5 points.

The horizontal axis is labeled "x" and has values from 0 to 13.
The vertical axis is labeled "y" and has values from 0 to 100.
1 point is plotted at approximately (2, 2.5).
4 points are plotted in an almost straight line from approximately (6, 5) up and right to approximately (12, 90).

A scatterplot has 5 points.

The horizontal axis is labeled "x" and has values from 0 to 100.
The vertical axis is labeled "y" and has values from 0 to 13.
1 point is plotted at approximately (2.5, 12).
4 points are plotted in an almost straight line from approximately (5, 9) down and right to approximately (90, 2).

A scatterplot has 5 points.

The horizontal axis is labeled "x" and has values from 0 to 13.
The vertical axis is labeled "y" and has values from 0 to 100.
1 point is plotted at approximately (12, 2.5).
4 points are plotted in an almost straight line from approximately (2, 90) down and right to approximately (9, 5).

How would you describe the relationship between mean call-to-shock time and survival rate?

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.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. 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.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.

(b)

Find the equation of the least-squares line. (Round your values to four decimal places.)

ŷ = +

(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.)

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