Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using α = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? Court Income 65.0 403.0 1566.0 1131.0 274.0 253.0 111.0 153.0 34.0 Justice Salary 31 44 94 58 46 61 26 27 18
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.
Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Construct a
α
=
0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines?
|
Court Income |
65.0 |
403.0 |
1566.0 |
1131.0 |
274.0 |
253.0 |
111.0 |
153.0 |
34.0 |
|
|
Justice Salary |
31 |
44 |
94 |
58 |
46 |
61 |
26 |
27 |
18 |
|
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