Variable Coefficient SE(Coeff) Intercept 1676 29.30 calcium -3.23 0.48 2000 1800 1600 1400 1200 + 30 60 90 120 Calcium (ppm) Mortality (deaths/100,000)
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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
mortality and calcium concentration.
Dependent variable is: mortality
R-squared = 43%
s = 143.0 with 61 - 2 = 59 degrees of freedoma) 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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