State Debt and Per Capita Taxes Data for per capita state debt and per capita state tax for five randomly selected states are shown. Per capita debt 3500 2254 2379 3018 1991 Per capita tax 3300 2054 2179 2818 1791 Send data to Excel The correlation coefficient for the data is =r1 and =α0.05. Should regression analysis be done? Find the equation of the regression line. Round the coefficients to at least three decimal places, if necessary. =y′+abx =a =b Find y′ when x=$2422. Round the answer to at least three decimal places, if necessary. y′=
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.
State Debt and Per Capita Taxes Data for per capita state debt and per capita state tax for five randomly selected states are shown.
| Per capita debt |
3500
|
2254
|
2379
|
3018
|
1991
|
|---|---|---|---|---|---|
| Per capita tax |
3300
|
2054
|
2179
|
2818
|
1791
|
The
|
|
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