Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Chapter 13.1, Problem 10E
Hormone replacement therapy (HRT) is thought to increase the risk of breast cancer. The accompanying data on
x = Percent of women using HRT
and
y = Breast cancer incidence (cases per 100,000 women) for a region in Germany for 5 years appeared in the paper “Decline in Breast Cancer Incidence after Decrease in Utilisation of Hormone Replacement Therapy” (Epidemiology [2008]: 427–430). The authors of the paper used a simple linear regression model to describe the relationship between HRT use and breast cancer incidence.
- a. What is the equation of the estimated regression line?
- b. What is the estimated average change in breast cancer incidence associated with a 1 percentage point increase in HRT use?
- c. What breast cancer incidence would be predicted in a year when HRT use was 40%?
- d. Should this regression model be used to predict breast cancer incidence for a year when HRT use was 20%? Explain.
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Hormone replacement therapy (HRT) is thought to increase the risk of breast cancer. The accompanying data on x = percent of women using HRT and y = breast cancer incidence (cases per 100,000 women) for a region in Germany for 5 years appeared in the
paper "Decline in Breast Cancer Incidence after Decrease in Utilization of Hormone Replacement Therapy." The authors of the paper used a simple linear regression model to describe the relationship between HRT use and breast cancer incidence.
HRT Use
Breast Cancer Incidence
46.30
103.30
40.60
105.00
39.50
100.00
36.60
93.80
30.00
83.50
n USE SALT
(a) What is the equation of the estimated regression line? (Round your numerical values to four decimal places.)
ý =
(b) What is the estimated average change in breast cancer incidence (in cases per 100,000 women) associated with a 1 percentage point increase in HRT use? (Round your answer to four decimal places.)
cases per 100,000 women
(c) What breast cancer incidence (in cases per 100,000 women)…
Hormone replacement therapy (HRT) is thought to increase the risk of breast cancer. The accompanying data on x = percent of women using HRT and y = breast cancer incidence (cases per
100,000 women) for a region in Germany for 5 years appeared in the paper "Decline in Breast Cancer Incidence after Decrease in Utilization of Hormone Replacement Therapy." The authors of the paper
used a simple linear regression model to describe the relationship between HRT use and breast cancer incidence.
t
HRT Use Breast Cancer Incidence
46.30
40.60
39.50
36.60
30.00
103.30
105.00
100.00
93.80
83.50
(a) What is the equation of the estimated regression line? (Round your numerical values to four decimal places.)
ŷ =
(b) What is the estimated average change in breast cancer incidence (in cases per 100,000 women) associated with a 1 percentage point increase in HRT use? (Round your answer to four decimal
places.)
cases per 100,000 women
(c) What breast cancer incidence (in cases per 100,000 women) would be…
Hormone replacement therapy (HRT) is thought to increase the risk of breast cancer. The accompanying data on x = percent of women using HRT and y = breast cancer incidence (cases per 100,000 women) for a region in Germany for 5 years appeared in the paper "Decline in Breast Cancer Incidence
after Decrease in Utilization of Hormone Replacement Therapy." The authors of the paper used a simple linear regression model to describe the relationship between HRT use and breast cancer incidence.
HRT Use
Breast Cancer Incidence
46.30
103.30
40.60
105.00
39.50
100.00
36.60
93.80
30.00
83.50
n USE SALT
(a) What is the equation of the estimated regression line? (Round your numerical values to four decimal places.)
ý = 45.5727 + (1.3354 )x
(b) What is the estimated average change in breast cancer incidence (in cases per 100,000 women) associated with a 1 percentage point increase in HRT use? (Round your answer to four decimal places.)
1.3354
cases per 100,000 women
(c) What breast cancer incidence…
Chapter 13 Solutions
Introduction To Statistics And Data Analysis
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