Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). 29 42 33 47 23 40 34 52 32 21 26 13 29 17 21 14 A USE SALT Complete parts (a) through (e), given Ex = 300, Ey = 173, Ex? = 11,892, Ey 4077, Exy = 6068, and r= -0.9034. %3D (a) Draw a scatter diagram displaying the data. 50 30 45 25 40 35 20 30 15 25 25 30 35 40 45 50 15 20 25 30 x (weight of the car (in hundreds of pounds)) x (weight of the car (in hundreds of pounds)) 30 50 45 25 40 20 35 30 15 25 25 30 35 40 45 50 15 20 25 30 x (weight of the car (in hundreds of pounds)) y (miles per gallon) y (miles per gallon) y (miles per gallon) y (miles per gallon)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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(b) Verify the given sums Ex, Ey, Ex, Ey², Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.)
Σχ =
Σγ
Ex?
%3D
Ey?
%3D
Σχy
r =
(c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers to foar decimal places.)
(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.
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x (weight of the car (in hundreds of pounds))
x (weight of the car (in hundreds of pounds))
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y(miles per gallon)
y (miles per gallon)
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Transcribed Image Text:(b) Verify the given sums Ex, Ey, Ex, Ey², Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Σχ = Σγ Ex? %3D Ey? %3D Σχy r = (c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers to foar decimal places.) (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 50 45 40 35 20 30 15 25 30 35 40 45 15 20 25 30 x (weight of the car (in hundreds of pounds)) x (weight of the car (in hundreds of pounds)) 50 45 25 40 35 50 25 30 20 30 25 y(miles per gallon) y (miles per gallon) miles per gallon) y (miles per gallon)
Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg).
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n USE SALT
Complete parts (a) through (e), given Ex = 300, Ey = 173, Ex = 11,892, Ey2 = 4077, Exy = 6068, and r = -0.9034.
%3D
%3D
%3D
(a) Draw a scatter diagram displaying the data.
30
45
25
40
35
20
30
15
25
25
30
35
40
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15
20
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x (weight of the car (in hundreds of pounds))
x (weight of the car (in hundreds of pounds))
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x (weight of the car (in hundreds of pounds))
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y (miles per gallon)
y (miles per gallon)
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y (miles per gallon)
y (miles per gallon)
Transcribed Image Text:Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). 29 42 33 47 23 40 34 52 y 32 21 26 13 17 21 14 n USE SALT Complete parts (a) through (e), given Ex = 300, Ey = 173, Ex = 11,892, Ey2 = 4077, Exy = 6068, and r = -0.9034. %3D %3D %3D (a) Draw a scatter diagram displaying the data. 30 45 25 40 35 20 30 15 25 25 30 35 40 45 15 20 25 30 x (weight of the car (in hundreds of pounds)) x (weight of the car (in hundreds of pounds)) 50 45 25 40 35 15 25 30 35 40 45 50 15 20 25 30 x (weight of the car (in hundreds of pounds)) 50 30 20 y (miles per gallon) y (miles per gallon) 50 29 30 25 y (miles per gallon) y (miles per gallon)
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