MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents.

x 14.3 31.8 24.5 14.3 7.5 27.7 16.2 20.1
y 24 70 39 23 15 30 15 25
(a) Make a scatter diagram of the data.

 
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Then visualize the line you think best fits the data. 

(b) Use a calculator to verify that Σx = 156.4, Σx2 = 3510.46, Σy = 241, Σy2 = 9501 and Σxy = 5542.6.

Compute r. (Round to 3 decimal places.)
 
As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer.
Given our value of ry should tend to decrease as x increases.
Given our value of ry should tend to remain constant as x increases.
 Given our value of ry should tend to increase as x increases.
Given our value of r, we can not draw any conclusions for the behavior of y as x increases.
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