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
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.
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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 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
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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