A regression model to predict Y, the state-by-state 2005 burglary crime rate per 100,000 people, used the following four state predictors: X1 = median age in 2005, X2 = number of 2005 bankruptcies per 1,000 people, X3 = 2004 federal expenditures per capita, and X4 = 2005 high school graduation percentage. Predictor Coefficient Intercept 4,808.2085 AgeMed -28.944 Bankrupt 15.3903 FedSpend -0.0261 HSGrad% -28.7834 (a) Write the fitted regression equation. (Round your answers to 4 decimal places. Negative values should be indicated by a minus sign.) yˆy^ = + AgeMed + Bankrupt + FedSpend + HSGrad% (b-1) The 2005 state-by-state crime rate per 100,000
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.
A regression model to predict Y, the state-by-state 2005 burglary crime rate per 100,000 people, used the following four state predictors: X1 =
| Predictor | Coefficient |
| Intercept | 4,808.2085 |
| AgeMed | -28.944 |
| Bankrupt | 15.3903 |
| FedSpend | -0.0261 |
| HSGrad% | -28.7834 |
(a) Write the fitted regression equation. (Round your answers to 4 decimal places. Negative values should be indicated by a minus sign.)
yˆy^ = + AgeMed + Bankrupt + FedSpend + HSGrad%
(b-1) The 2005 state-by-state crime rate per 100,000
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