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0 U www webassign Responses/submit?dep 16994355 a search My No -2 points Stevens

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Question

0 U www webassign Responses/submit?dep 16994355 a search My No -2 points StevensShat4 10.P.003d. 04 Submissions Used Sociology/ Criminology, Economics: Records comparing unemployment rates and property crime rates per 1,000 were gathered in a state for the years 1975-20 S 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) Property Crime Rate-vs-Unemployment Rate correlation coefficient: r0.856 regression equation: y-2.6x+27.7 sample size: Unemployment Rate (%) Answer the following questions regarding this relationship. (a) What is the y-intercept of the regression equation? 2.6 27.7 0.856 31 (b) With respect to the variables involved, choose the best interpretation of the y-intercept Provided the relationship remains linear, you can expect an unemployment rate of 27.7% if the property crime rate is It represents the maximum expected crime rate, regardless of the unemployment rate Provided the relationship remains linear, you can expect a property crime rate of 27.7 (per 1,000 people) ifthe unemployment rate is 0% It represents the minimum crime rate of the 31 years depicted in the scatterplot. eBook

Explanation / Answer

Given regression equation y=2.6x+27.7

x=unemployemeny rate %

y=property crime rate (in crimes per 1000 people)

a) In the above equation slope = 2.6 and intercept = 27.7

y-intercept of regression equation is 27.7

b) If x=0 then regression equation is y = 27.7 i.e.,

C) Provided the relationship remains linear, you can expect a properly crime rate of 27.7(per 1000 people) if the unemployement rate is 0%