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Regression Models — Unit test Answers

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The two conditional relative frequency tables below show the results of a survey asking students whether they are taking a foreign language or not.Table B: Frequency of Foreign-Language Studies by RowWhich table could be used to answer the question "Assuming a student is taking a foreign language, what is the probability the student is also in high school?”

Question illustration
A
Table A, because the given condition is that the student is in high school.
B
Table A, because the given condition is that the student is taking a foreign language.
C
Table B, because the given condition is that the student is in high school.
D
Table B, because the given condition is that the student is taking a foreign language.
2
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The data set represents the number of minutes Dan spent on his homework each night.30, 35, 35, 45, 46, 46, 52, 55, 57Which box plot correctly represents the data?

A
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 53. A line divides the box at 46.
Option A
B
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 52. A line divides the box at 46.
Option B
C
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 55. A line divides the box at 46.
Option C
D
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 55. A line divides the box at 45.
Option D
3

three

T
The data point for x = 1 is above the line of best fit.
T
The residual value for x = 3 should be a positive number because the data point is above the line of best fit.
F
Fiona made a subtraction error when she computed the residual value for x = 4.
T
The residual value for x = 2 should be a positive number because the given point is above the line of best fit.
T
The residual value for x = 3 is negative because the given point is below the line of best fit.
4

The table shows the number of pages in the books in Box A and the number of pages in the books in Box B.Which statement is true about the data?

Question illustration
T
The mean of Box A is greater than the mean of Box B.
T
The mean of Box B is greater than the mean of Box A.
T
The median of Box A is greater than the median of Box B.
T
The median of Box B is greater than the median of Box A.
5

A number line going from 1 to 13. 1 dot is above 1. 3 dots are above 2. 1 dot is above 3. 3 dots are above 4. 1 dot is above 5. 0 dots are above the remaining numbers.

Question illustration
A
The mean will increase, and the median will stay the same.
B
The median will increase, and the mean will stay the same.
C
The mean will increase more than the median, but both will increase.
D
The median will increase more than the mean, but both will increase.
6

The box plot represents the number of math problems on the quizzes for an algebra course.What is the range of the data?

Question illustration
A
6
B
7
C
9
D
10
7

The graph represents a distribution of data.

Question illustration
A
5
B
10
C
30
D
50
8

Which data set has an outlier?

A
6, 13, 13, 15, 15, 18, 18, 22
B
4, 4, 4, 8, 9, 9, 11, 18
C
2, 3, 5, 7, 8, 8, 9, 10, 12, 17
D
3, 6, 7, 7, 8, 8, 9, 9, 9, 10
9

Ms. Barnsley separates her class into two groups. She gives each student the same 25-question math quiz. Group A uses a calculator, while Group B does not. The table shows the completion times, in minutes, of students in each group. Which statement is true about the distributions of completion times?

Question illustration
T
The students in Group A tended to complete the quiz in less time.
T
The median of Group A is greater than the median of Group B.
T
The means of both groups are about the same.
T
The standard deviation of Group B is less than the standard deviation of Group A.
10

The graph shows a distribution of data.

Question illustration
A
The data has a standard deviation of 0.1.
B
The mean of the data is greater than 0.5.
C
A value of 0.7 is within 1 standard deviation of the mean.
D
A value of 0.9 is more than 2 standard deviations from the mean.
11

The table shows a company’s profit based on the number of pounds of food produced.

Question illustration
$
$5,150
$
$5,300
$
$10,150
$
$11,000
12

The histogram represents the daily low and high temperatures in a city during March. Which comparison of the distributions is true?

Question illustration
T
The distribution of low temperatures is nearly symmetric, and the distribution of high temperatures is nearly symmetric.
T
The distribution of low temperatures is skewed right, and the distribution of high temperatures is nearly symmetric.
T
The distribution of low temperatures is nearly symmetric, and the distribution of high temperatures is skewed right.
T
The distribution of low temperatures is skewed right, and the distribution of high temperatures is skewed right.
13

The conditional relative frequency table below was generated by column using data comparing gender and a person's favorite meal to cook.Which would most likely indicate an association between the categorical variables?

Question illustration
A
The value of A is similar to the value of B.
B
The value of A is similar to the value of E.
C
The value of B is not similar to the value of C.
D
The value of B is not similar to the value of F.
14

The conditional relative frequency table was generated using data that compares the favorite subjects of male and female students at a high school. The survey was given to 120 male students and 180 female students.

Question illustration
A
42
B
81
C
120
D
123
15

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet.

3
3.2 feet
4
4.8 feet
5
5.6 feet
6
6.8 feet
16

The equation for the line of best fit is f(x) ≈ 1.8x − 5.4 for the set of values in the table.

Question illustration
A
14
B
20
C
45
D
54
17

The data set represents the number of minutes Dan spent on his homework each night.30, 35, 35, 45, 46, 46, 52, 55, 57Which box plot correctly represents the data?

A
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 53. A line divides the box at 46.
Option A
B
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 52. A line divides the box at 46.
Option B
C
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 55. A line divides the box at 46.
Option C
D
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 55. A line divides the box at 45.
Option D
18

Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.6, 14, 6, 18, 9, 9, 12, 10, 11, 15 Which statement is true about the number of books packed to a box?

A
The median number of books to a box is 8.
B
The median number of books to a box is 9.
C
The mean number of books to a box is 11.
D
The mean number of books to a box is 12.
19

The table shows the height, in meters, of an object that is dropped as time passes until the object hits the ground.A line of best fit for the data is represented by h = –21.962x + 114.655. Which statement compares the line of best fit with the actual data given by the table?

Question illustration
A
According to the line of best fit, the object would have hit the ground 0.6 seconds later than the actual time the object hit the ground.
B
According to the line of best fit, the object was dropped from a lower height.
C
The line of best fit correctly predicts that the object reaches a height of 40 meters after 3.5 seconds.
D
The line of best fit predicts a height of 4 meters greater than the actual height for any time given in the table.
20

A line of best fit is drawn for the set of points shown on the graph.

Question illustration
A
(23, 30)
B
(30, 38)
C
(44, 30)
D
(30, 72)

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