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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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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