The state Department of Education has rated a sample of local school systems for compliance with state-mandated guidelines for quality. Is the quality of a school system significantly related to the affluence of the community as measured by per capita income? Per Capita Income Quality Low High Totals Low 16 8 24 High 9 17 26 Totals 25 25 50 a. Is there a statistically significant relationship between these variables? b. Compute column percents for the table to determine the pattern of the relationship. Are high- or low-income communities more likely to have high-quality school?
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 state Department of Education has rated a sample of local school systems for compliance with state-mandated guidelines for quality. Is the quality of a school system significantly related to the affluence of the community as measured by per capita income?
Per Capita Income
Quality Low High Totals Low 16 8 24 High 9 17 26 Totals 25 25 50
a. Is there a statistically significant relationship between these variables? b. Compute column percents for the table to determine the pattern of the relationship. Are high- or low-income communities more likely to have high-quality school?
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