Question

Sociology/Criminology/Economics: Records comparing unemployment rates and property crime rates (per 1,000) were gathered in a state for the years 1975 - 2005 (n = 31). Below is the scatterplot, regression line, and corresponding statistics for these 31 years.

Property Crime -vs- Unemployment x = Unemployment Rate (in %) y = Property Crime Rate (in crimes per 1,000 people) correlation coefficient: r = 0.859   regression equation: ŷ = 2.86x + 24.9 sample size: n = 31

Answer the following questions regarding this relationship.

(a) What is the slope of the regression equation?

0.8592.86     3124.9

(b) With respect to the variables involved, choose the best interpretation of the slope of the regression equation.

For every unit increase in the property crime rate you can expect the unemployment rate to go down by 2.86 percent.

For every unit increase in the property crime rate you can expect the unemployment rate to go up by 2.86 percent.   

   For every 1% increase in the unemployment rate, you can expect 2.86 more property crimes per 1,000 people.

For every 1% increase in the unemployment rate, you can expect 2.86 fewer property crimes per 1,000 people.

Answer 1

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