Data on pollution and cost of medical care for elderly people are given in the following table. Region Pollution Cost of Medical Care North 30.0 915 Upper South 31.8 891 Deep South 32.1 968 West South 26.8 972 Big Sky 30.4 952 West 40.0 899 Compute the regression line and determine the residuals Compute the correlation coefficient. Does the value of r indicate that the linear relationship is strong? Are there any unusual feature of the residual plot?
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.
Data on pollution and cost of medical care for elderly people are given in the following table.
|
Region |
Pollution |
Cost of Medical Care |
|
North |
30.0 |
915 |
|
Upper South |
31.8 |
891 |
|
Deep South |
32.1 |
968 |
|
West South |
26.8 |
972 |
|
Big Sky |
30.4 |
952 |
|
West |
40.0 |
899 |
Compute the regression line and determine the residuals
Compute the
Are there any unusual feature of the residual plot?
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