16994 99 ¥ cliA week is Exam 4: Frei Exaux Sociology/ Criminology/Economics: Rec

Question

16994 99 ¥ cliA week is Exam 4: Frei Exaux Sociology/ Criminology/Economics: Records comparing unemployment rates, violent crime rates (per 1,000) and property crime rates (per 1,000) were gathered in a state for the years 1975 -2005 (n 31). Below are the scatterplots, regression Enes, and corresponding statistics for these 31 years. Violent Crime Rate -vs- Unemployment Rate iolent Crime-vs-Unemployment x-Unemployment Rate (in %) y = Violent Crime Rate (in crimes per 1,000 people correlation coefficient: 0.066 0.078x + 7.18 sample size: n = 31 Unemployment Rate (%) Property Crime Rate -vs- Unemployment RateProperty Crime -vs Unemployment ate (n crimes per 1,000 people) y Property Crime Rate (in crimes per 1,000 people) correlation coefficient: r = 0.779 regression equation: sample size: n# 31 Unemployment Rate (4) Answer the following questions regarding the relationship between unemployment and these two types of crime rates (a) Is there a significant linear correlation between unemployment and violent crime rates? O Yer O No (b) Is there a significant linear correlation between unemployment and property crime rates? Yas No (c) Choose the most valid condluding statement O mare is a significant correlation between unemployment and all types of crime rates. O While there is a significant correlation between unemployment and property crime rates, there is no such correlation between unemployment and violent crime rates O There is no correlation between unemployment and crime rates. Additional Materials

Explanation / Answer

Answer: Here,

1)violent crime rate vs unemployment
correlation coefficient: r= 0.066
regression eq: Y=0.078X+7.18
n=31

2)Property crime rate vs unemployment
correlation coefficient: r= 0.779
regression eq: Y=2.544X+28.59
n=31

a) is there a significant linear correlation between unemployment and violent crime rates:

Answer: No  because r=0.066 and the points fall randomly on the plot, which indicates that there is no linear relationship between the variables.

b)is there a significant linear correlation between unemployment and Property crime rate:

Answer: Yes because The points fall close to the line, which indicates that there is a strong linear relationship between the variables. The relationship is positive because as one variable increases, the other variable also increases.

C)Answer:(2nd option)while there is a significant correlation between uinemployment and property crime rates, there is no such correlation between violent crime rate vs unemployment

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