Name: 
 

Quiz 10-4: Line of Best Fit



Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 

 1. 

What type of relationship exists between x and y in the scatter plot below?

mc001-1.jpg
a.
no relationship
c.
positive relationship
b.
negative relationship
d.
none of these
 

 2. 

Which scatter plot shows a positive relationship?
a.
mc002-1.jpg
c.
mc002-3.jpg
b.
mc002-2.jpg
d.
mc002-4.jpg
 

 3. 

The table shows the foreign and total assets of international companies. Draw a scatter plot to represent the relationship between the foreign assets and total assets of the companies. Is there a relationship between a company’s foreign assets and total assets?

Company
Country
Foreign Assets
($ billions)
Total Assets
($ billions)
A
Netherlands / UK
69
100
B
Britain
19
28
C
United States
44
81
D
Japan
23
77
E
Mexico
4
8
F
United States
23
41
G
Switzerland
25
31
H
United States
47
84
I
France
22
46
a.
negative relationship
c.
no relationship
b.
positive relationship
d.
weak relationship
 

 4. 

The table shows the housing affordability of cities in the United States and their latitude. Affordability is the percentage of homes sold that were within reach of the median income household. Draw a scatter plot to represent the relationship between affordability and each city’s latitude. Is there a relationship between latitude and affordability?

City
AffordabilityNorth Latitude
Lima, Ohio
86%
41°
Laredo, Texas
30%
27°
Portland, Oregon
36.5%
46°
Baton Rouge, Louisiana
85%
31°
San Francisco, California
21%
37°
Melbourne, Florida
83%
28°
New York, New York
35%
41°
Kansas City, Missouri
83%
38°
a.
no relationship
c.
negative relationship
b.
positive relationship
d.
weak relationship
 

 5. 

Which scatter plot shows the relationship between money earned and hours worked if a worker earns an hourly wage?
a.
mc005-1.jpg
c.
mc005-3.jpg
b.
mc005-2.jpg
d.
mc005-4.jpg
 

 6. 

What kind of relationship would you expect from the ordered pair (student’s IQ, student’s college GPA)?
a.
positive relationship
c.
no relationship
b.
negative relationship
d.
undefined relationship
 

 7. 

When an equation for the relation shown in the chart is solved for y, the coefficient of x is
x1357
y6142230
a.
2
c.
6
b.
4
d.
8
 

 8. 

If a scatter plot of y versus x has a positive correlation, then
a.
as y decreases, x increases
c.
as y increases, x decreases
b.
as y decreases, x decreases
d.
both A and C are true
 

Short Answer
 

 9. 

Describe the type of relationship shown in the scatter plot below.

sa009-1.jpg
 

 10. 

Draw a scatter plot using the points (1, 4), (5, 11), (3, 7), (4, 9), (1, 3), (2, 5), (6, 10), and (4, 6). Tell whether the scatter plot shows a positive, negative, or no relationship.
 

 11. 

The table shows the housing affordability of cities in the United States and their latitude. Affordability is the percentage of homes sold that were within reach of the median income household. Draw a scatter plot to represent the relationship between affordability and each city’s latitude. Is there a relationship between affordability and latitude?

City
AffordabilityNorth Latitude
Jackson, Mississippi
81%
33°
Champaign, Illinois
83%
40°
Binghampton, New York
82%
42°
El Paso, Texas
37%
32°
Provo, Utah
38%
41°
Albuquerque, New Mexico
42%
35°
New Bedford, Mass.
45%
42°
 

 12. 

The table shows the foreign and total assets of international companies. Draw a scatter plot to represent the relationship between the foreign assets and total assets of the companies. Is there a relationship between a company’s foreign assets and total assets?

Company
Country
Foreign Assets
($ billions)
Total Assets
($ billions)
LG ElectronicsKorea
0.5
7.7
Souza CruzBrazil
0.8
1.0
Dong Ah ConstructionKorea
0.7
2.9
Grupo TelevisoMexico
0.9
3.4
Genting BerhardMalaysiz
0.8
1.5
KeppelSingapore
0.6
6.9
TatungTaiwan
0.7
3.8
 

 13. 

The scores received on a pretest and posttest for 10 students in an algebra class are listed below as ordered pairs. Make a scatter plot of the data. What relationship do you observe in the data? (93, 92)  (47, 52)  (27, 29)  (73, 64)  (40, 38) (48, 80)  (63, 70)  (32, 35)  (51, 65)  (85, 87)
 

 14. 

What type of relationship, positive, negative, or none, is shown by the scatter plot?
sa014-1.jpg
 



 
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