The following data represents the level of health and the level of education for a random sample of 1642 residents. Does the sample evidence suggest that level of education and health are independent at the α=0.05 α=0.05 level of significance? Find the test statistic χ2χ2. Find the P-value. Make the proper conclusion about this hypothesis test. Education Excellent Good Fair Poor Not a H.S. graduate 149 152 85 120 H.S. graduate 127 104 69 95 Some College 81 138 61 116 Bachelor Degree or higher 74 103 73 95
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.
The following data represents the level of health and the level of education for a random sample of 1642 residents.
Does the sample evidence suggest that level of education and health are independent at the α=0.05 α=0.05 level of significance?
Find the test statistic χ2χ2.
Find the P-value.
Make the proper conclusion about this hypothesis test.
| Education | Excellent | Good | Fair | Poor |
| Not a H.S. graduate | 149 | 152 | 85 | 120 |
| H.S. graduate | 127 | 104 | 69 | 95 |
| Some College | 81 | 138 | 61 | 116 |
| Bachelor Degree or higher | 74 | 103 | 73 |
95
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