4 Hormone replacement therapy (HRT) is thought to increase the risk ofbreast cancer. In the accompanying 5 years of data let x = percent of women using HRT and y breast cancer incidence (cases per 100,000 women) for a region in Germany. The authors of the study used a simple linear regression model to describe the relationship between HRT use and breast cancer incidence. d. What is the equation of the estimated regression line? Use 4 decimals for calculated values. HRT Use Breast Cancer Incidence 103.30 46.30 40.60 105.00 39.50 100.00 36.60 93.80 Regression equation 30.00 83.50 b. (2pts) What is the estimated average change in breast cancer incidence associated with a 1 point increase in HRT use? Don't forget units. percentage c. (2pts) What would you predict the breast cancer incidence to be in a year when HRT use was 40%? Don't forget units. d. (2pts) Should you use this regression model to predict breast cancer incidence for a year when HRT use was 20%? Explain your answer. e. Calculate and interpret (in terms of this specific problem) the value of r². f. (2pts) Calculate the value of Se. (use your calculator to derive this directly or use the formula)
4 Hormone replacement therapy (HRT) is thought to increase the risk ofbreast cancer. In the accompanying 5 years of data let x = percent of women using HRT and y breast cancer incidence (cases per 100,000 women) for a region in Germany. The authors of the study used a simple linear regression model to describe the relationship between HRT use and breast cancer incidence. d. What is the equation of the estimated regression line? Use 4 decimals for calculated values. HRT Use Breast Cancer Incidence 103.30 46.30 40.60 105.00 39.50 100.00 36.60 93.80 Regression equation 30.00 83.50 b. (2pts) What is the estimated average change in breast cancer incidence associated with a 1 point increase in HRT use? Don't forget units. percentage c. (2pts) What would you predict the breast cancer incidence to be in a year when HRT use was 40%? Don't forget units. d. (2pts) Should you use this regression model to predict breast cancer incidence for a year when HRT use was 20%? Explain your answer. e. Calculate and interpret (in terms of this specific problem) the value of r². f. (2pts) Calculate the value of Se. (use your calculator to derive this directly or use the formula)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
Related questions
Question
T44
![4 Hormone replacement therapy (HRT) is thought to
increase the risk ofbreast cancer. In the accompanying 5
years of data let x = percent of women using HRT and y
breast cancer incidence (cases per 100,000 women) for
a region in Germany. The authors of the study used a
simple linear regression model to describe the
relationship between HRT use and breast cancer
incidence.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52db8ee6-33d1-4aac-bbe4-ebc771de1e49%2Fb1d755e2-5dbc-4053-9919-f3d44637402e%2Fzjnjdp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4 Hormone replacement therapy (HRT) is thought to
increase the risk ofbreast cancer. In the accompanying 5
years of data let x = percent of women using HRT and y
breast cancer incidence (cases per 100,000 women) for
a region in Germany. The authors of the study used a
simple linear regression model to describe the
relationship between HRT use and breast cancer
incidence.
![d. What is the equation of the estimated regression line? Use 4 decimals for calculated values.
HRT Use
Breast Cancer Incidence
103.30
46.30
40.60
105.00
39.50
100.00
36.60
93.80
Regression equation
30.00
83.50
b. (2pts) What is the estimated average change in breast cancer incidence associated with a 1
point increase in HRT use? Don't forget units.
percentage
c. (2pts) What would you predict the breast cancer incidence to be in a year when HRT use was 40%?
Don't forget units.
d. (2pts) Should you use this regression model to predict breast cancer incidence for a year when HRT use
was 20%? Explain your answer.
e. Calculate and interpret (in terms of this specific problem) the value of r².
f. (2pts) Calculate the value of Se. (use your calculator to derive this directly or use the formula)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52db8ee6-33d1-4aac-bbe4-ebc771de1e49%2Fb1d755e2-5dbc-4053-9919-f3d44637402e%2Fht2w88v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:d. What is the equation of the estimated regression line? Use 4 decimals for calculated values.
HRT Use
Breast Cancer Incidence
103.30
46.30
40.60
105.00
39.50
100.00
36.60
93.80
Regression equation
30.00
83.50
b. (2pts) What is the estimated average change in breast cancer incidence associated with a 1
point increase in HRT use? Don't forget units.
percentage
c. (2pts) What would you predict the breast cancer incidence to be in a year when HRT use was 40%?
Don't forget units.
d. (2pts) Should you use this regression model to predict breast cancer incidence for a year when HRT use
was 20%? Explain your answer.
e. Calculate and interpret (in terms of this specific problem) the value of r².
f. (2pts) Calculate the value of Se. (use your calculator to derive this directly or use the formula)
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