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)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter4: Graphing And Inverse Functions
Section: Chapter Questions
Problem 6GP: If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use...
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