(b) Verify the given sums Ex, £y, Ex², Ey², Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex = Ey = Ex2 = Ey2 = Exy = r= (c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answer to four decimal places.) x = y = ý = (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y y 10- 10 5 5 a b. -5 4 8 10 12 14 2 4 8 10 12 14 y y 10 10 5 of d. 2 4 6 8 10 12 14 4 8 10 12 14
(b) Verify the given sums Ex, £y, Ex², Ey², Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex = Ey = Ex2 = Ey2 = Exy = r= (c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answer to four decimal places.) x = y = ý = (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y y 10- 10 5 5 a b. -5 4 8 10 12 14 2 4 8 10 12 14 y y 10 10 5 of d. 2 4 6 8 10 12 14 4 8 10 12 14
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Does prison really deter violent crime? Let x represent percent change in the rate of violent crime and y represent percent change in the rate of imprisonment in the general U.S. population. For 7 recent years, the following data have been obtained.
![Does prison really deter violent crime? Let x represent percent change in the rate of violent crime and y represent percent change in the rate of imprisonment in the general U.S. population. For 7 recent years, the following data have been obtained.
6.0
5.9
4.2
5.2
6.2
6.5
11.1
y
-1.5
-4.0
-7.4
-4.0
3.6
-0.1
-4.4
Complete parts (a) through (e), given Ex = 45.1, Ey = -17.8, Ex? = 319.39, Ey? = 121.34, Exy = -111.65, and rx 0.0648.
(a) Draw a scatter diagram displaying the data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe870b0a-6aab-4232-9112-2ec6f8d90f0c%2F46074dc0-031c-4893-bb08-a59e538300c2%2Fnhc07yu_processed.png&w=3840&q=75)
Transcribed Image Text:Does prison really deter violent crime? Let x represent percent change in the rate of violent crime and y represent percent change in the rate of imprisonment in the general U.S. population. For 7 recent years, the following data have been obtained.
6.0
5.9
4.2
5.2
6.2
6.5
11.1
y
-1.5
-4.0
-7.4
-4.0
3.6
-0.1
-4.4
Complete parts (a) through (e), given Ex = 45.1, Ey = -17.8, Ex? = 319.39, Ey? = 121.34, Exy = -111.65, and rx 0.0648.
(a) Draw a scatter diagram displaying the data.
![(b) Verify the given sums Ex, Ey, Ex?, Ey?, Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.)
Ex =
Ey =
Ex2 =
Ey2 =
Σχy
r =
(c) Find x, and y. Then find the equation of the least-squares line ý = a + bx. (Round your answer to four decimal places.)
x =
y=
(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.
y
y
10F
10
5
5
a
b.
-5
2
4
8
10
12
14
2
4
8
10
12
14
y
10
10H
5
5
d
2
4
6.
8
10
12
14
4
6.
8
10
12
14](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe870b0a-6aab-4232-9112-2ec6f8d90f0c%2F46074dc0-031c-4893-bb08-a59e538300c2%2Fzympknb_processed.png&w=3840&q=75)
Transcribed Image Text:(b) Verify the given sums Ex, Ey, Ex?, Ey?, Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.)
Ex =
Ey =
Ex2 =
Ey2 =
Σχy
r =
(c) Find x, and y. Then find the equation of the least-squares line ý = a + bx. (Round your answer to four decimal places.)
x =
y=
(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.
y
y
10F
10
5
5
a
b.
-5
2
4
8
10
12
14
2
4
8
10
12
14
y
10
10H
5
5
d
2
4
6.
8
10
12
14
4
6.
8
10
12
14
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