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?

 a. no relationship c. positive relationship b. negative relationship d. none of these

2.

Which scatter plot shows a positive relationship?
 a. c. b. d.

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 Affordability North 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. c. b. d.

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
 x 1 3 5 7 y 6 14 22 30
 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

9.

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

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 Affordability North 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 Electronics Korea 0.5 7.7 Souza Cruz Brazil 0.8 1.0 Dong Ah Construction Korea 0.7 2.9 Grupo Televiso Mexico 0.9 3.4 Genting Berhard Malaysiz 0.8 1.5 Keppel Singapore 0.6 6.9 Tatung Taiwan 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?