This paper conducts a number of statistical analyses in order to assess the relationship between property crime rates and rental property vacancy rates across a number of different states in the USA. Descriptive statistics are presented for both the independent and dependent variable. Tables and Charts representing the descriptive statistics are also presented. A scatterplot showing the relationship between the two variables is presented. Finally, a correlation is calculated using SPSS between the two variables, showing a positive and statistically significant correlation. As property vacancy rates rise, so do property crime rates.
¶ … David & Beth
Descriptive Statistics.
A) Independent Variable = Rental Vacancy
Mean = 10.9
Median = 11.5
Mode = 6.8 (smallest of multiple modes) Each data point was different, so technically there were 20 modes.
Range = 8.3 (6.8 to 15.1)
Describe what was found. Rental vacancy rates ranged from 6.8% to 15.1%, with a mean vacancy rate of 10.9%. No two states had the same vacancy rate, therefore an accurate assessment of the mode was not possible. The Median vacancy rate across states was 11.5%.
Excel Tables & Figures
Summarize IV in Table & Range Charts
Two tables iii. Two Charts
Describe Results: The charts and tables show that Florida has the highest vacancy rate, while New York has the lowest vacancy rate.
Label Tables and Figures _ Table 1 (title) etc.
TABLE 1. Vacancy Rate Table
State
Abandoned Property
Population
Rental Vacancy Rate
Alabama
288,062
4,779,736
12.1
Arizona
463,536
6,392,017
11.4
California
1,102,583
37,253,956
7.5
Florida
1,568,778
18,801,310
15.1
Georgia
503,217
9,687,653
12.3
Illinios
459,743
12,830,632
11
Indiana
293,387
6,483,802
11.8
Michigan
659,725
9,883,640
13.1
Missouri
337,118
5,988,927
11.6
New Jersey
339,202
8,791,894
9.1
New York
790,348
19,378,102
6.8
North Carolina
582,373
9,535,483
12
Ohio
524,073
11,536,504
11.5
Pennsylvania
548,411
12,702,379
8.8
South Carolina
336,502
4,625,364
13.9
Tennessee
318,581
6,346,105
12.5
Texas
1,054,503
25,145,561
13.3
Virginia
308,881
8,001,024
10.5
Washington
265,601
6,724,540
7
Wisconson
344,590
5,686,986
8.6
TABLE 2. Vacancy Rate by State
State
Rental Vacancy Rate
Alabama
12.1
Arizona
11.4
California
7.5
Florida
15.1
Georgia
12.3
Illinios
11
Indiana
11.8
Michigan
13.1
Missouri
11.6
New Jersey
9.1
New York
6.8
North Carolina
12
Ohio
11.5
Pennsylvania
8.8
South Carolina
13.9
Tennessee
12.5
Texas
13.3
Virginia
10.5
Washington
7
Wisconson
8.6
FIGURE 1. Rental Vacancy Rate by State
FIGURE 2. Rental Vacancy Rate Range
B) Dependent Variable
a. Analyses
i. Mean = 3.1
ii. Median = 3.3
iii. Mode = 3.5
iv. Range = 2.0 (1.9 -- 3.9)
v. Describe what was found: The property crime rates in the states tested ranged from 1.9% to 3.9%, and the average across states was 3.1%. The most common property crime rate was 3.5% (the mode), and the median crime rate was 3.3%.
b. Excel Tables & Figures
i. Two Tables & Two Charts
ii. Describe Results: By examining the tables and charts, it is easy to see that the range of property crime rates do not vary too far, but that there is some variability to the reports. It is easy to see on the charts that New York has the lowest property crime rate, while South Carolina has the highest property crime rate.
iii. Label Tables etc. Following from previous ones.
TABLE 3. Property Crime Rate Table
State
Abandoned Property
Population
Property Crime Rate
Alabama
288,062
4,779,736
3.50
Arizona
463,536
6,392,017
3.50
California
1,102,583
37,253,956
2.60
Florida
1,568,778
18,801,310
3.50
Georgia
503,217
9,687,653
3.60
Illinios
459,743
12,830,632
2.60
Indiana
293,387
6,483,802
3.00
Michigan
659,725
9,883,640
2.70
Missouri
337,118
5,988,927
3.30
New Jersey
339,202
8,791,894
2.80
New York
790,348
19,378,102
1.90
North Carolina
582,373
9,535,483
3.40
Ohio
524,073
11,536,504
3.20
Pennsylvania
548,411
12,702,379
2.10
South Carolina
336,502
4,625,364
3.90
Tennessee
318,581
6,346,105
3.60
Texas
1,054,503
25,145,561
3.70
Virginia
308,881
8,001,024
2.30
Washington
265,601
6,724,540
4
Wisconson
344,590
5,686,986
2.50
TABLE 4. Property Crime Rate by State
State
Property Crime Rate
Alabama
3.50
Arizona
3.50
California
2.60
Florida
3.50
Georgia
3.60
Illinios
2.60
Indiana
3.00
Michigan
2.70
Missouri
3.30
New Jersey
2.80
New York
1.90
North Carolina
3.40
Ohio
3.20
Pennsylvania
2.10
South Carolina
3.90
Tennessee
3.60
Texas
3.70
Virginia
2.30
Washington
4
Wisconson
2.50
FIGURE 3. Property Crime Rate by State
FIGURE 4. Property Crime Rate Range
C) Both Variables
a. Excel
i. One table with both variables (Table 5)
TABLE 5. Property Crime & Vacancy Rates by State.
State
Abandoned Property
Population
Rental Vacancy Rate
Property Crime Rate
Alabama
288,062
4,779,736
12.1
3.50
Arizona
463,536
6,392,017
11.4
3.50
California
1,102,583
37,253,956
7.5
2.60
Florida
1,568,778
18,801,310
15.1
3.50
Georgia
503,217
9,687,653
12.3
3.60
Illinios
459,743
12,830,632
11
2.60
Indiana
293,387
6,483,802
11.8
3.00
Michigan
659,725
9,883,640
13.1
2.70
Missouri
337,118
5,988,927
11.6
3.30
New Jersey
339,202
8,791,894
9.1
2.80
New York
790,348
19,378,102
6.8
1.90
North Carolina
582,373
9,535,483
12
3.40
Ohio
524,073
11,536,504
11.5
3.20
Pennsylvania
548,411
12,702,379
8.8
2.10
South Carolina
336,502
4,625,364
13.9
3.90
Tennessee
318,581
6,346,105
12.5
3.60
Texas
1,054,503
25,145,561
13.3
3.70
Virginia
308,881
8,001,024
10.5
2.30
Washington
265,601
6,724,540
7
4
Wisconson
344,590
5,686,986
8.6
2.50
Part 2 -- Scatterplots
A) SPSS to create scatterplot
B) Copy and Paste SPSS Scatterplot into Essay #4
C) Discuss relationship shown by scatterplot.
a. Form of the relationship - Linear
b. Direction of the relationship - Positive
c. Precision of the relationship -- Moderate to strong relationship
The scatterplot shows us that there appears to be a moderate to strong relationship between property crime rates and rental vacancy rates. In other words, as rental vacancy rates increase, it appears that property crime rates also increase.
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