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 10.9 30.4 24.5 14.3 7.5 27.7 16.2 20.1 y 23 76 39 23 15 30 15 25 (a) Make a scatter diagram of the data. Then visualize the line you think best fits the data. A scatter diagram has a horizontal axis labeled "x (student enrollment (in thousands))" with values from 7.5 to 30.4 and a vertical axis labeled "y (annual number of burglaries)" with values from 15 to 76. The scatter diagram has 8 points. A pattern goes up and right becoming more steep from (7.5, 15) to (30.4, 76). A scatter diagram has a horizontal axis labeled "x (student enrollment (in thousands))" with values from 7.5 to 30.4 and a vertical axis labeled "y (annual number of burglaries)" with values from 15 to 76. The scatter diagram has 8 points. A pattern goes down and right becoming less steep from (7.5, 76) to (30.4, 15). A scatter diagram has a horizontal axis labeled "x (student enrollment (in thousands))" with values from 15 to 76 and a vertical axis labeled "y (annual number of burglaries)" with values from 7.5 to 30.4. The scatter diagram has 8 points. A pattern goes up and right from (15, 7.5) to (76, 30.4). A scatter diagram has a horizontal axis labeled "x (student enrollment (in thousands))" with values from 15 to 76 and a vertical axis labeled "y (annual number of burglaries)" with values from 7.5 to 30.4. The scatter diagram has 8 points. A pattern goes down and right becoming less steep from (15, 30.4) to (76, 7.5). (b) Use a calculator to verify that Σx = 151.6, Σx2 = 3337.70, Σy = 246, Σy2 = 10330 and Σxy = 5534.5. Compute r. (Round your answer to four 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 r, y should tend to remain constant as x increases.Given our value of r, y 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.Given our value of r, y should tend to decrease as x increases.

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 10.9 30.4 24.5 14.3 7.5 27.7 16.2 20.1 y 23 76 39 23 15 30 15 25 (a) Make a scatter diagram of the data. Then visualize the line you think best fits the data. A scatter diagram has a horizontal axis labeled "x (student enrollment (in thousands))" with values from 7.5 to 30.4 and a vertical axis labeled "y (annual number of burglaries)" with values from 15 to 76. The scatter diagram has 8 points. A pattern goes up and right becoming more steep from (7.5, 15) to (30.4, 76). A scatter diagram has a horizontal axis labeled "x (student enrollment (in thousands))" with values from 7.5 to 30.4 and a vertical axis labeled "y (annual number of burglaries)" with values from 15 to 76. The scatter diagram has 8 points. A pattern goes down and right becoming less steep from (7.5, 76) to (30.4, 15). A scatter diagram has a horizontal axis labeled "x (student enrollment (in thousands))" with values from 15 to 76 and a vertical axis labeled "y (annual number of burglaries)" with values from 7.5 to 30.4. The scatter diagram has 8 points. A pattern goes up and right from (15, 7.5) to (76, 30.4). A scatter diagram has a horizontal axis labeled "x (student enrollment (in thousands))" with values from 15 to 76 and a vertical axis labeled "y (annual number of burglaries)" with values from 7.5 to 30.4. The scatter diagram has 8 points. A pattern goes down and right becoming less steep from (15, 30.4) to (76, 7.5). (b) Use a calculator to verify that Σx = 151.6, Σx2 = 3337.70, Σy = 246, Σy2 = 10330 and Σxy = 5534.5. Compute r. (Round your answer to four 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 r, y should tend to remain constant as x increases.Given our value of r, y 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.Given our value of r, y should tend to decrease as x increases.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

x	10.9	30.4	24.5	14.3	7.5	27.7	16.2	20.1
y	23	76	39	23	15	30	15	25

(a)

Make a scatter diagram of the data. Then visualize the line you think best fits the data.

A scatter diagram has a horizontal axis labeled "x (student enrollment (in thousands))" with values from 7.5 to 30.4 and a vertical axis labeled "y (annual number of burglaries)" with values from 15 to 76. The scatter diagram has 8 points. A pattern goes up and right becoming more steep from (7.5, 15) to (30.4, 76).

A scatter diagram has a horizontal axis labeled "x (student enrollment (in thousands))" with values from 7.5 to 30.4 and a vertical axis labeled "y (annual number of burglaries)" with values from 15 to 76. The scatter diagram has 8 points. A pattern goes down and right becoming less steep from (7.5, 76) to (30.4, 15).

A scatter diagram has a horizontal axis labeled "x (student enrollment (in thousands))" with values from 15 to 76 and a vertical axis labeled "y (annual number of burglaries)" with values from 7.5 to 30.4. The scatter diagram has 8 points. A pattern goes up and right from (15, 7.5) to (76, 30.4).

(b)

Use a calculator to verify that Σx = 151.6, Σx² = 3337.70, Σy = 246, Σy² = 10330 and Σxy = 5534.5.

Compute r. (Round your answer to four 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 r, y should tend to remain constant as x increases.Given our value of r, y 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.Given our value of r, y should tend to decrease as x increases.

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