х 30 3 11 17 169 34 132 127 69 53 Ex = 74; Ey = 584; Ex? = 1,404; Ey? = 70,840; Exy = 9,584 %3D (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.) x = 12.33 y = 97.33 b = 4.847 ý = 37.567 x +4.847 (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. У У 200 200 150 150 100 100 50 50 10 15 20 25 35 5 10 15 25 35 200 200 150- 150- 100 100 50 10 15 20 25 30 35 10 15 20 25 30 35 (c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) (d) For a neighborhood with x = 21% change in population in the past few years, predict the change in the crime rate (per 1000 residents). (Round your answer to one decimal place.) crimes per 1000 residents
х 30 3 11 17 169 34 132 127 69 53 Ex = 74; Ey = 584; Ex? = 1,404; Ey? = 70,840; Exy = 9,584 %3D (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.) x = 12.33 y = 97.33 b = 4.847 ý = 37.567 x +4.847 (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. У У 200 200 150 150 100 100 50 50 10 15 20 25 35 5 10 15 25 35 200 200 150- 150- 100 100 50 10 15 20 25 30 35 10 15 20 25 30 35 (c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) (d) For a neighborhood with x = 21% change in population in the past few years, predict the change in the crime rate (per 1000 residents). (Round your answer to one decimal place.) crimes per 1000 residents
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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Transcribed Image Text:х
30
3
11
17
169
34
132
127
69
53
Ex = 74; Ey = 584; Ex? = 1,404; Ey? = 70,840; Exy = 9,584
%3D
(a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.)
x = 12.33
y = 97.33
b = 4.847
ý = 37.567 x
+4.847
(b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram.
У
У
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100
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20 25
35
5
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200
200
150-
150-
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Transcribed Image Text:(c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.)
What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)
(d) For a neighborhood with x = 21% change in population in the past few years, predict the change in the crime rate (per 1000 residents). (Round your answer to one decimal place.)
crimes per 1000 residents
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