Hormone replacement therapy (HRT) is thought to increase the risk of breast cancer. The accompanying data onx = percent of women using HRT andy = 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 (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 predicted in a year when HRT use was 41%? (Round your answer to three decimal places.) 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...

Hormone replacement therapy (HRT) is thought to increase the risk of breast cancer. The accompanying data onx = percent of women using HRT andy = 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

(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 predicted in a year when HRT use was 41%? (Round your answer to three decimal places.)

cases per 100,000 women

Jun 09, 2022

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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...

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