Population Size Homicide rate per 100,000 people 558,724 8.6 538,584 8.9 519,171 8.52 500,457 8.89 482,418 13.07 465,029 14.57 448.267 21.36 432,109 28.03 416,533 31.49 401,518 37.39 387.046 46.26 373.095 47.24 359,647 52.33
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 researcher is investigating whether population impacts homicide rate. He uses demographic data from Detroit, MI to compare homicide rates and the
number of the population that are white males.
1. Find the equation of the regression line , interpret the slope and y-intercept.
2. Compute and interpret the coefficient of determination.
3. Estimate the homicide rate when the population is 380000.
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