Listed below are numbers of enrolled students (in thousands) and number of campus burglaries from a random sample of large colleges in 2017. A) Is there sufficient evidence at alpha= 0.05 to conclude that there is a linear correlation between enrollment and burglaries?( Justify using statistics) B) After finding the undergraduate enrollment for a university in 2019, use it to predict the number of estimated burglaries on campus. Undergrad Enrollment in 2019: (in thousands). Equation used for estimate: what is the estimated number of burglaries? Enrollment 32 31 53 28 27 66 42 30 34 65 Burgalaries 94 83 86 47 32 131 157 20 27 141
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 numbers of enrolled students (in thousands) and number of campus burglaries from a random sample of large colleges in 2017.
A) Is there sufficient evidence at alpha= 0.05 to conclude that there is a
B) After finding the undergraduate enrollment for a university in 2019, use it to predict the number of estimated burglaries on campus. Undergrad Enrollment in 2019: (in thousands). Equation used for estimate: what is the estimated number of burglaries?
| Enrollment | 32 | 31 | 53 | 28 | 27 | 66 | 42 | 30 | 34 | 65 |
| Burgalaries | 94 | 83 | 86 | 47 | 32 | 131 | 157 | 20 | 27 | 141 |
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