Group Members: Ashley Shattles

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Group 1

• Group Members Ashley Shattles
• Jamie Hayes
• Steven
  Moreland
• Kimberly
  Bessinger
• Mike Clifford
• Data Researched
• Cobb County Robberies

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Jamie Background Information

• Everyone wants to live in a safe community, so
  crime is something we are all concerned about.
  National crime rates are decreasing, but the rate
  in Georgia is still higher than other Southern
  states, with 40.5 crimes per every 1000
  residents. The good news is that in the past six
  years Georgia has seen a drop in violent crimes
  such as rape, murder, and aggravated assault.
• Each year Georgia taxpayers spend up to 18,000
  dollars per inmate, per day, in Cobb county
  prisons. Probation and work release programs can
  cost up to 16,000 per person, per day. With
  48,892 prisoners presently incarcerated in Cobb
  County, the money really adds up.
• In 2000, Georgia had a total crime index of
  4751.1 reported incidents per 100,000 people. 
  The state ranked 13th highest for total crime.

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• Additionally, Georgia's robbery rates were 161.9
  per 100,000 people in the same year. Georgia had
  the 10th highest robbery rate.
• How can Georgia prevent crime and put our tax
  money to better use? The Georgia Public Policy
  Foundation is a private research and education
  organization that focuses on Georgia state policy
  issues. In their 2002 Agenda they offered many
  solutions to Georgias crime and punishment
  problems.
• Sources Georgia Statistical Analysis Center
  Georgia Department of Corrections, Georgia Public
  Policy Foundation, www.gppf.org, and
  www.stateofgeorgia.gov.

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Data (CCR) Cobb County Robberies
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Kimberly Quadratic Equation

• Quadratic Equation 1
  Quadratic Equation 2 Quadratic
  Equation 3
• 1980 1990 2000
  1980 1995 2002 1980
  1985 2000
• (0,320) (10,652) (20,633)
  (0,320) (15,610) (22,681) (0,320)
  (5,365) (20,633)
• CCR(t)-1.7550t250.7500t
  CCR(t)-.4177t225.5996t
  CCR(t).4433t26.7833t
  
• 320.0000
  320.0000
  320.0000
• Where t is 1980t.
  Where t is 1980t.
  Where t is 1980t.
• Quadratic Regression CCR(t) -.8492t235.3720t
  293.6960
• 
  Where t is 1980t.
• Regression Equation has an error of 271.
  

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Quadratic Graph
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And Now These Questions

• Predict the total number of Cobb County Robberies
  in the years 2010 and 2020.
• 2010-198030 CCR(30)591
• 2020-198040 CCR(40)350
• Thus in the year 2010 the total number of Cobb
  County Robberies will be 591.
• Thus in the year 2020 the total number of Cobb
  County Robberies will be 350.

• In what year was the total number of Cobb County
  Robberies 600?
• 600-.8492t235.3720t293.6960
• t12.2796
• 1980131993
• Thus in the year 1993 the total number of Cobb
  County Robberies was 600.

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Give the relative Maximum of the
equation.Relative Max (20.8267,662.0363)Thus
in the year 2001, Cobb County Robberies reached a
relative maximum of 662 robberies.
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Ashley Linear Function

• Linear Equation 1 Linear
  Equation 2 Linear Equation 3
• 1980 1995
  1985 2000 1990
  2002
• (0,320) (15,610)
  (5,365) (20,633) (10,652)
  (22,681)
• CCR(t) 19.33t320.00 CCR(t)
  17.86t275.66 CCR(t)2.41t627.83
  Where t is 1980t.
  Where t is 1980t. Where t is
  1980t.
• Linear Regression CCR(t) 16.22t 348.74
• Where t is
  1980t.
• Regression Equation has the least amount
  of error at 318.

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Linear Graph
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More Questions

• Predict the number of Cobb County Robberies in
  the years 2005 and 2010.
• 2005-198025 CCR(25)754
• 2010-198030 CCR(30)836
• Thus in the year 2005 the total number of
  Cobb County Robberies will be 754.
• Thus in the year 2010 the total number of
  Cobb County Robberies will be 836.

• In what year will Cobb County Robberies reach
  936?
• 93616.22t 348.74
• t 36.18
• 1980372017
• Thus in the year 2017 the number of Cobb
  County Robberies will reach 936.

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Steven Piecewise Function

• Equation CCR(t) 4.8400t2-15.200t320.0000
  if 0lttlt10
• 
  1.6315t2-50.2465t992.5129 if
  tgt10
• Where t is 1980t

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Piecewise Graph
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Solving Some Problems

• Predict the number of Cobb County Robberies in
  the years 1983 and 2010.
• 1983-19803 CCR(3) 317.96
• 2010-198030 CCR(30) 953.4697
• Thus in the year 1983 the number of Cobb
  County Robberies was 318.
• Thus in the year 2010 the number of Cobb
  County Robberies will be 953.

• Find the year in which Cobb County Robberies were
  the least, and how many there were.
• (Parabola 1) V(1.5702,308.0661)
• 198021982
• Thus in the year 1982 the number of Cobb
  County Robberies was at a low of 308.

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The Piecewise Equation

• The piecewise model is the best model to choose
  when modeling the Cobb County Robberies data. 
  The model is the best because it fits the data
  points with two parabolas more accurately than
  the other models studied. As shown, the
  quadratic and linear models showed no
  relationship to the graphed data points. 

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Additional Information

• The accuracy of these models might be affected by
  issues such as an economic depression or an
  unemployment increase. Likewise, a more strict
  punishment for criminal offenders could reduce
  the total number of robberies.

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The End