Sociology/Criminology/Economics: Records comparing unemployment rates and proper

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.

Answer the following questions regarding this relationship.

(a) What is the y-intercept of the regression equation?

312.8    0.84027.7

(b) With respect to the variables involved, choose the best interpretation of the y-intercept.

It represents the minimum crime rate of the 31 years depicted in the scatterplot.It represents the maximum expected crime rate, regardless of the unemployment rate.     Provided the relationship remains linear, you can expect an unemployment rate of 27.7% if the property crime rate is 0.Provided the relationship remains linear, you can expect a property crime rate of 27.7 (per 1,000 people) if the unemployment rate is 0%.

Property Crime -vs- Unemployment
x = Unemployment Rate (in %)
y = Property Crime Rate (in crimes per 1,000 people)

correlation coefficient:
r = 0.840

regression equation:
= 2.8x + 27.7

sample size:
n = 31

Explanation / Answer

a) y - intercept = 27.70

b) Interpretation: Provided the relationship remains linear, you can expect a property crime rate of 27.7 (per 1,000 people) if the unemployment rate is 0%.

Option D is correct.

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