Fundamentals of Biostatistics
8th Edition
ISBN: 9781305268920
Author: Bernard Rosner
Publisher: Cengage Learning
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A diabetic person is interested in determining how the amount of aerobic exercise impacts his blood sugar. When blood sugar reaches 170 mg/dl, he goes out for a run at a pace of 10 minutes per mile. On different days, he runs different distances and measures his blood sugar after completing his run. The preferred blood sugar level is in the range of 80 to120 mg/dl. Levels that are too low or too high are extremely dangerous. The data generated are given in the following table:
Distance (miles),x
Blood sugar(mg/dl gram),y
2
136
2
146
2.5
131
2.5
125
3
120
3
116
3.5
104
3.5
95
4
85
4
94
4.5
83
4.5
75
Based on the scenario above, analyse the data with appropriate statistical methods and describe your findings in details. Use alpha=0.05 [note: use hypothesis, test statistics confidence interval etc.]
]
Explain the process of Computing the Regression Line?
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…
Chapter 10 Solutions
Fundamentals of Biostatistics
Ch. 10.2 - What is a contingency table?Ch. 10 - Consider the Physicians Health Study data...Ch. 10 - Consider the Physicians Health Study data...Ch. 10 - Answer Problem 10.1 if a one-sided test with power...Ch. 10 - Consider the Physicians Health Study data...Ch. 10 - Answer Problem 10.4 if compliance is as given in...Ch. 10 - Consider the Physicians Health Study data...Ch. 10 - Consider the Physicians Health Study data...Ch. 10 - Gastroenterology Two drugs (A, B) are compared for...Ch. 10 - Gastroenterology Two drugs (A, B) are compared for...
Ch. 10 - Gastroenterology Two drugs (A, B) are compared for...Ch. 10 - Sexually Transmitted Disease Suppose researchers...Ch. 10 - Cancer A 1980 study investigated the relationship...Ch. 10 - Ophthalmology Retinitis pigmentosa is a disease...Ch. 10 - Pulmonary Disease One important aspect of medical...Ch. 10 - Prob. 24PCh. 10 - Hepatic Disease Refer to Data Set HORMONE.DAT, at...Ch. 10 - Health Services Administration In the Harvard...Ch. 10 - Health Services Administration In the Harvard...Ch. 10 - Orthopedics A study was performed among subjects...Ch. 10 - Prob. 54PCh. 10 - Prob. 55PCh. 10 - Prob. 56PCh. 10 - Prob. 57PCh. 10 - Prob. 58PCh. 10 - Cancer A topic of current interest is whether...Ch. 10 - Cancer A topic of current interest is whether...Ch. 10 - Ophthalmology A 5-year study among 601...Ch. 10 - Prob. 74PCh. 10 - Prob. 77PCh. 10 - Prob. 87P
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- What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?arrow_forwardA multiple regression model has been fit to a data set with p predictor variables, and the adjusted R-squared value is 0.75. What can we conclude about the model fit and the predictor variables in the model?arrow_forwardStudies 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 45 31 4 3 The data were used to compute the equation of the least-squares line, which was ŷ = 101.16 − 9.24x.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…arrow_forward
- 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 92 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 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…arrow_forwardStudies 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…arrow_forwardStudies 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 Survival rate, y The data were used to compute the equation of the least-squares line, which was ŷ = 100.90 9.21x. 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. O Since the slope of the least-squares line…arrow_forward
- 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 31 4 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 13. The vertical axis is labeled "y" and has values from 0 to 100. 4 points are plotted in an almost straight line from approximately (2, 90) down and right to approximately (9, 5). 1 point is…arrow_forwardStudies 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 The data were used to compute the equation of the least-squares line, which was ŷ = 102.44 - 9.39x. 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. O Since the slope…arrow_forwardHow 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. O 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. (b) Find the equation of the…arrow_forward
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