(All Steps) University Crime: FBI Report Do larger universities tend to have more property crime? University crime statistics are affected by a variety


Question: University Crime: FBI Report Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let \(x\) be a variable that represents student enrollment (in thousands) on a university campus. Let \(y\) be a variable that represents the number of burglaries in a year on a university campus. A random sample of \(n=8\) universities in California gave the following information about enrollments and annual burglary incidents. (Reference: Crime in the United States, Federal Bureau of Investigation.)

  1. Make a scatter diagram and draw the line you think best fits the data.
  2. Would you say the correlation is low, moderate, or high? positive or negative?
  3. Using a calculator, verify that \(\Sigma x=152.8, \Sigma x^{2}=3350.98, \Sigma y=246, \Sigma y^{2}=\)

10,030 , and \(\Sigma x y=5488.4\). Compute \(r\). As \(x\) increases, does the value of \(r\) imply that \(y\) should tend to increase or decrease? Explain.

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