Among a random sample of the state's census deciles, there is a -.85 correlation (p=.50) between school truancy rates and the rates of alcohol sales to minors. How would you characterize the relationship between truancy and alcohol sales to minors? A. We cannot be confident that there is a relationship between the two variables. B. We have evidence that there is a strong, positive correlation between the two variables. C. We have evidence that there is a strong, negative correlation between the two variables. D. We have evidence that there is a weak, positive correlation between the two variables. E. We have evidence that there is a weak, negative correlation between the two variables.
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.
Among a random sample of the state's census deciles, there is a -.85
A. We cannot be confident that there is a relationship between the two variables.
B. We have evidence that there is a strong,
C. We have evidence that there is a strong,
D. We have evidence that there is a weak, positive correlation between the two variables.
E. We have evidence that there is a weak, negative correlation between the two variables.
Solution:
It is given that among a random sample of the state's census deciles, there is a -.85 correlation (p=.50) between school truancy rates and the rates of alcohol sales to minors.
Since the correlation is negative and it has a magnitude of 0.85, it shows that there is a strong negative correlation between the two variables.
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