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R5.30. Hard water In an investigation of environmental causes of disease, data were collected on the annual mortality rate (deaths per 100,000) for males in 61 large towns in England and Wales. In addition, the water hardness was recorded as the calcium concentration (parts per million, or ppm) in the drinking water. Here are the scatterplot and regression anal- ysis of the relationship between mortality and calcium concentration. Dependent variable is Mortality R-squared = 43% s = 143.0 with 61 - 2 = 59 degrees of freedom Variable Intercept Calcium Mortality (deaths/100,000) 2000 1800 1600 1400 1200 Coefficient 1676 -3.23 30 SE(Coeff) 29.30 0.48 60 90 Calcium (ppm) 120 a) Is there an association between the hardness of the water and the mortality rate? Write the appropriate hypothesis. b) Assuming the assumptions for regression inference are met, what do you conclude? c) Create a 95% confidence interval for the slope of the true line relating calcium concentration and mortality. d) Interpret your interval in context.

R5.30. Hard water In an investigation of environmental causes of disease, data were collected on the annual mortality rate (deaths per 100,000) for males in 61 large towns in England and Wales. In addition, the water hardness was recorded as the calcium concentration (parts per million, or ppm) in the drinking water. Here are the scatterplot and regression anal- ysis of the relationship between mortality and calcium concentration. Dependent variable is Mortality R-squared = 43% s = 143.0 with 61 - 2 = 59 degrees of freedom Variable Intercept Calcium Mortality (deaths/100,000) 2000 1800 1600 1400 1200 Coefficient 1676 -3.23 30 SE(Coeff) 29.30 0.48 60 90 Calcium (ppm) 120 a) Is there an association between the hardness of the water and the mortality rate? Write the appropriate hypothesis. b) Assuming the assumptions for regression inference are met, what do you conclude? c) Create a 95% confidence interval for the slope of the true line relating calcium concentration and mortality. d) Interpret your interval in context.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
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R5.30. Hard water In an investigation of environmental causes of disease, data were collected on the annual mortality rate (deaths per 100,000) for males in 61 large towns in England and Wales. In addition, the water hardness was recorded as the calcium concentration (parts per million, or ppm) in the drinking water. Here are the scatterplot and regression anal- ysis of the relationship between mortality and calcium concentration. Dependent variable is Mortality R-squared = 43% s = 143.0 with 61 - 2 = 59 degrees of freedom Variable Intercept Calcium Mortality (deaths/100,000) 2000 1800 1600 1400 1200+ Coefficient 1676 -3.23 30 SE(Coeff) 29.30 0.48 90 60 Calcium (ppm) 120 a) Is there an association between the hardness of the water and the mortality rate? Write the appropriate hypothesis. b) Assuming the assumptions for regression inference are met, what do you conclude? c) Create a 95% confidence interval for the slope of the true line relating calcium concentration and mortality. d) Interpret your interval in context.
Transcribed Image Text:R5.30. Hard water In an investigation of environmental causes of disease, data were collected on the annual mortality rate (deaths per 100,000) for males in 61 large towns in England and Wales. In addition, the water hardness was recorded as the calcium concentration (parts per million, or ppm) in the drinking water. Here are the scatterplot and regression anal- ysis of the relationship between mortality and calcium concentration. Dependent variable is Mortality R-squared = 43% s = 143.0 with 61 - 2 = 59 degrees of freedom Variable Intercept Calcium Mortality (deaths/100,000) 2000 1800 1600 1400 1200+ Coefficient 1676 -3.23 30 SE(Coeff) 29.30 0.48 90 60 Calcium (ppm) 120 a) Is there an association between the hardness of the water and the mortality rate? Write the appropriate hypothesis. b) Assuming the assumptions for regression inference are met, what do you conclude? c) Create a 95% confidence interval for the slope of the true line relating calcium concentration and mortality. d) Interpret your interval in context.
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