Question
Lesson 1
Four graphs are shown below:
Four graphs are shown. All the graphs show scale on x axis and y axis from 0 to 10 at increments of 1. Graph A shows dots at ordered pairs 0, 2 and 1, 3 and 3, 5 and 4, 6 and 5, 7 and 6, 8 and 7, 9 and 8, 10. Graph B shows dots at ordered pairs 0, 10 and 1, 9 and 2, 8 and 3, 7 and 4, 6 and 5, 5 and 6, 4 and 7, 3 and 8, 2 and 9, 1. Graph C shows dots at ordered pairs 0, 10 and 0, 9 and 0.9, 8 and 1.1, 7 and 1.5, 6 and 2, 5.5 and 2.1, 4 and 2.5, 4.9 and 3, 4.1 and 3, 5.1 and 3.8, 3.5 and 3.9, 4.5 and 4.2, 3 and 5, 2.8 and 5, 3.8 and 6, 2.4 and 6, 3.1 and 6.8, 2.9 and 7, 2.1 and 8, 2 and 8, 2.8 and 9, 2 and 10, 2. Graph D shows dots at the ordered pairs 0, 0.5 and 1, 0.5 and 2, 0.6 and 3, 0.8 and 3.1, 1.5 and 4, 0.9 and 4, 1.8 and 5, 1.1 and 5.1, 2.1 and 5.9, 1.9 and 6.1, 3 and 6.8, 2 and 7, 4 and 7.1, 3 and 7.6, 5 and 8, 3.8 and 8, 4.4 and 8.1, 6 and 8.5, 7 and 8.6, 5 and 8.8, 6.5 and 9, 8 and 9, 9 and 9, 10.
Which graph represents a positive nonlinear association between x and y?
Group of answer choices
Graph A
Graph B
Graph C
Graph D
Flag question: Question 2
Question 21 pts
M08.D-S.1.1.1
Lesson 1
A scatter plot is shown.
A scatter plot is shown with numbers from 1 to 10 at increments of 1 on the x axis and numbers from 0 to 10 at increments of 1 on the y axis. The ordered pairs 0, 2 and 1, 3 and 1, 9 and 1.2, 4 and 1.9, 4 and 2.6, 4.2 and 3, 5 and 4, 5 and 4, 6 and 4.8, 6.1 and 5, 7 and 5, 7.9 and 6.9, 7.1 and 6, 8 and 7, 3.8 and 7, 8.2 and 7, 9.1 and 7.1, 9.8 and 8, 10 and 10, 7.
How many outliers does the graph show?
Group of answer choices
1
2
3
4
Flag question: Question 3
Question 31 pts
M08.D-S.1.1.1
Lesson 1
The tables below show four sets of data.
For which set of data will the scatter plot represent a negative linear association between x and y?
Set A
x
1
2
3
4
5
6
7
8
9
y
10
9
8
7
6
5
4
3
2
Set B
x
1
2
3
4
5
6
7
8
9
y
3
4
5
6
7
8
9
10
11
Set C
x
1
2
3
4
5
6
7
8
9
y
8
6
5
4
3.5
3
2.5
2
2
Set D
x
1
2
3
4
5
6
7
8
9
y
1
2.5
2.5
3
4
5
6
8
9
Group of answer choices
Set A
Set B
Set C
Set D
Flag question: Question 4
Question 41 pts
M08.D-S.1.1.1
Lesson 1
The scatter plot shows the test scores of a group of students who studied for different amounts of time in a week.
A graph shows Hours Spent Studying on x axis and Test Score on y axis .The graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 100 at increments of 10. The ordered pairs 0, 21 and 0.8, 32 and 1.2,35 and 1.5,39 and 2.1, 42 and 2.3,45 and 2.5,49 and 2.7, 50 and 3, 67 and 4.6, 56 and 5, 69 and 5.3,70 and 5.7,74 and 6.4,78 and 7.2,80 and 7.5,84 and 8.5,88 and 8.7,92 and 9.5,96 are shown on the graph.
What will most likely happen to the test scores of students if the number of hours they study increases?
Group of answer choices
Test scores will increase because the graph shows a negative association.
Test scores will increase because the graph shows a positive association.
Test scores will decrease because the graph shows a positive association.
Test scores will decrease because the graph shows a negative association.
Flag question: Question 5
Question 51 pts
M08.D-S.1.1.2
Lesson 2
A scatter plot is shown below:
Graph shows numbers from 0 to 10 at increments of 1 on the x axis and number s from 0 to 10 at increments of 1 on the y axis. Scatter plot shows ordered pairs 1, 8 and 2, 8.5 and 3, 7 and 4, 7 and 5, 6.5 and 6, 5 and 7, 4.8 and 8, 3 and 9, 2 and 10, 0.
Which two ordered pairs can be joined to draw most accurately the line of best fit on this scatter plot?
Group of answer choices
(4, 9.5) and (10, 5.5)
(5, 0) and (10, 10)
(0, 6) and (5, 1)
(0, 9.5) and (10, 1.5)
Flag question: Question 6
Question 61 pts
M08.D-S.1.1.2
Lesson 2
Two students have each drawn a line on the scatter plot shown below:
The graph shows numbers from 0 to 10 on x and y axes at increments of 1. Dots are made at the ordered pairs 1, 5 and 2, 4 and 3, 3.5 and 4, 2.5 and 4.5, 2.8 and 5, 2 and 6, 1.5 and 7, 1 and 8, 0.9 and 9, 0.2 and 10, 0. A straight line labeled Line A joins the ordered pairs 0, 7.2 and 10.4, 0. A straight line labeled Line B joins the ordered pairs 0, 5 and 9.1, 0.
Which line best represents the line of best fit?
Group of answer choices
Line A, because it shows a negative association
Line A, because it is closest to most data points
Line B, because it is closest to most data points
Line B, because it shows a positive association
Flag question: Question 7
Question 71 pts
M08.D-S.1.1.1
Lesson 2
A group of students plotted the number of hours they worked weekly during the holidays and the number of hours they spent cycling.
Graph shows 0 to 60 on x and y axes at increments of 10. The label on the x axis is Weekly Hours Worked, and the label on the y axis is Weekly Hours Cycling. Dots are made at the ordered pairs 10, 45 and 13, 35 and 16, 42 and 24, 32 and 26, 43 and 32, 29 and 37, 23 and 39, 27 and 42, 19 and 45, 21 and 49, 19 and 50, 12.
Which statement best describes the relationship between the number of hours spent working and the number of hours spent cycling?
Group of answer choices
Greater hours worked, fewer hours spent cycling.
Fewer hours worked, fewer hours spent cycling.
Greater hours worked, greater hours spent cycling.
There is no relationship between hours spent working and hours spent cycling.
Flag question: Question 8
Question 81 pts
M08.D-S.1.1.3
Lesson 2
Dennis drew the line of best fit on the scatter plot shown below:
A graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 15 at increments of 1.The ordered pairs 0, 15 and 0.5, 14 and 1, 13 and 2, 12 and 3, 11 and 4, 9 and 5, 8 and 6, 6 and 7, 4.5 and 8, 2.3 and 9, 2 and 9.8, 0.5 are shown on the graph. A straight line joins the ordered pairs 0, 15 and 10, 0.
What is the approximate equation of this line of best fit in slope-intercept form?
Group of answer choices
y = −15x + 2 over 3
y = negative 2 over 3x + 15
y = −15x + 3 over 2
y = negative 3 over 2x + 15
Flag question: Question 9
Question 91 pts
M08.D-S.1.1.3
Lesson 2
The scatter plot shows the relationship between the number of hours students spend watching television and the number of hours they spend playing outdoor sports each week.
A graph is titled Television and Sport. On the x axis, the label is Weekly Hours of Outdoor Sport and shows numbers from 0 to 12 at increments of 1, and on the y axis, the label is Weekly Hours of Watching Television and the numbers from 0 to 12 are shown at increments of 1. Dots are made at the ordered pairs 0,7 and 1,6 and 2,6 and 3,6 and 4,5 and 5,4 and 6,3 and 7,2 and 8,1 and 9,1 and 10,1. A line joins the ordered pairs 0, 7.2 and 10, 0.4
What is the y-intercept of the line of best fit and what does it represent?
Group of answer choices
10.4 hours; the number of hours students play outdoor sports in a week when they do not watch television
7.2 hours; the number of hours students play outdoor sports in a week when they do not watch television
10.4 hours; the number of hours students watch television in a week when they do not participate in any outdoor sports
7.2 hours; the number of hours students watch television in a week when they do not participate in any outdoor sports
Flag question: Question 10
Question 101 pts
M08.D-S.1.1.3
Lesson 2
The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x. Shania drew the line of best fit on the graph.
A graph titled Plant Height shows Number of Weeks on x axis and Height of Plant in cm on y axis. The scales on both x and y axes are shown from 0 to 5 at increments of 5. The graph shows dots at the ordered pairs 0, 1 and 0.5, 1.2 and 1, 1.4 and 1.5, 2 and 2, 2.4 and 2.5, 2.7 and 3, 3 and 3.5, 3.3 and 4, 3.5 and 4.5, 3.8 and 5, 4. A straight line joins the ordered pairs 0, 1 and 5, 4
What would most likely be the approximate height of the plant after 7 weeks?
Group of answer choices
5.2 centimeters
7.6 centimeters
8.7 centimeters
12.7 centimeters
Flag question: Question 11
Question 111 pts
M08.D-S.1.2.1
Lesson 3
The two-way table shows the number of students in a school who like painting and/or dance.
Like Painting
Do Not Like Painting
Total
Like Dance
28
?
51
Do Not Like Dance
17
18
35
Total
45
41
86
What is the missing number in the table?
Group of answer choices
16
23
33
79
Flag question: Question 12
Question 121 pts
M08.D-S.1.2.1
Lesson 3
The two-way table shows the number of students in a school who have cats and/or dogs as pets.
Have Cats
Do Not Have Cats
Total
Have Dogs
18
22
40
Do Not Have Dogs
25
35
60
Total
43
57
100
How many more students have cats than dogs?
Group of answer choices
25
22
7
3
Flag question: Question 13
Question 131 pts
M08.D-S.1.2.1
Lesson 3
Sue surveyed the students at her school to find out if they like sandwiches and/or tacos. The table below shows the results of the survey:
Like Sandwiches
Do Not Like Sandwiches
Total
Like Tacos
43
7
50
Do Not Like Tacos
27
23
50
Total
70
30
100
If a student likes sandwiches, what is the probability that the student also likes tacos?
Group of answer choices
43%
61.4%
71.4%
86%
Flag question: Question 14
Question 141 pts
M08.D-S.1.2.1
Lesson 3
A group of students were surveyed to find out if they like cleaning house and/or mowing lawns during the holidays. The results of the survey are shown below:
20 students like cleaning house
5 students like cleaning house but do not like mowing lawns
18 students like mowing lawns
5 students do not like cleaning house
Four students created the tables below to represent the data.
CH = cleaning house
ML = mowing lawns
PT Ciara Natalia.JPG
PT Sam Josue.JPG
Which student's table is correct?
Group of answer choices
Sam
Josue
Ciara
Natalia
Four graphs are shown below:
Four graphs are shown. All the graphs show scale on x axis and y axis from 0 to 10 at increments of 1. Graph A shows dots at ordered pairs 0, 2 and 1, 3 and 3, 5 and 4, 6 and 5, 7 and 6, 8 and 7, 9 and 8, 10. Graph B shows dots at ordered pairs 0, 10 and 1, 9 and 2, 8 and 3, 7 and 4, 6 and 5, 5 and 6, 4 and 7, 3 and 8, 2 and 9, 1. Graph C shows dots at ordered pairs 0, 10 and 0, 9 and 0.9, 8 and 1.1, 7 and 1.5, 6 and 2, 5.5 and 2.1, 4 and 2.5, 4.9 and 3, 4.1 and 3, 5.1 and 3.8, 3.5 and 3.9, 4.5 and 4.2, 3 and 5, 2.8 and 5, 3.8 and 6, 2.4 and 6, 3.1 and 6.8, 2.9 and 7, 2.1 and 8, 2 and 8, 2.8 and 9, 2 and 10, 2. Graph D shows dots at the ordered pairs 0, 0.5 and 1, 0.5 and 2, 0.6 and 3, 0.8 and 3.1, 1.5 and 4, 0.9 and 4, 1.8 and 5, 1.1 and 5.1, 2.1 and 5.9, 1.9 and 6.1, 3 and 6.8, 2 and 7, 4 and 7.1, 3 and 7.6, 5 and 8, 3.8 and 8, 4.4 and 8.1, 6 and 8.5, 7 and 8.6, 5 and 8.8, 6.5 and 9, 8 and 9, 9 and 9, 10.
Which graph represents a positive nonlinear association between x and y?
Group of answer choices
Graph A
Graph B
Graph C
Graph D
Flag question: Question 2
Question 21 pts
M08.D-S.1.1.1
Lesson 1
A scatter plot is shown.
A scatter plot is shown with numbers from 1 to 10 at increments of 1 on the x axis and numbers from 0 to 10 at increments of 1 on the y axis. The ordered pairs 0, 2 and 1, 3 and 1, 9 and 1.2, 4 and 1.9, 4 and 2.6, 4.2 and 3, 5 and 4, 5 and 4, 6 and 4.8, 6.1 and 5, 7 and 5, 7.9 and 6.9, 7.1 and 6, 8 and 7, 3.8 and 7, 8.2 and 7, 9.1 and 7.1, 9.8 and 8, 10 and 10, 7.
How many outliers does the graph show?
Group of answer choices
1
2
3
4
Flag question: Question 3
Question 31 pts
M08.D-S.1.1.1
Lesson 1
The tables below show four sets of data.
For which set of data will the scatter plot represent a negative linear association between x and y?
Set A
x
1
2
3
4
5
6
7
8
9
y
10
9
8
7
6
5
4
3
2
Set B
x
1
2
3
4
5
6
7
8
9
y
3
4
5
6
7
8
9
10
11
Set C
x
1
2
3
4
5
6
7
8
9
y
8
6
5
4
3.5
3
2.5
2
2
Set D
x
1
2
3
4
5
6
7
8
9
y
1
2.5
2.5
3
4
5
6
8
9
Group of answer choices
Set A
Set B
Set C
Set D
Flag question: Question 4
Question 41 pts
M08.D-S.1.1.1
Lesson 1
The scatter plot shows the test scores of a group of students who studied for different amounts of time in a week.
A graph shows Hours Spent Studying on x axis and Test Score on y axis .The graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 100 at increments of 10. The ordered pairs 0, 21 and 0.8, 32 and 1.2,35 and 1.5,39 and 2.1, 42 and 2.3,45 and 2.5,49 and 2.7, 50 and 3, 67 and 4.6, 56 and 5, 69 and 5.3,70 and 5.7,74 and 6.4,78 and 7.2,80 and 7.5,84 and 8.5,88 and 8.7,92 and 9.5,96 are shown on the graph.
What will most likely happen to the test scores of students if the number of hours they study increases?
Group of answer choices
Test scores will increase because the graph shows a negative association.
Test scores will increase because the graph shows a positive association.
Test scores will decrease because the graph shows a positive association.
Test scores will decrease because the graph shows a negative association.
Flag question: Question 5
Question 51 pts
M08.D-S.1.1.2
Lesson 2
A scatter plot is shown below:
Graph shows numbers from 0 to 10 at increments of 1 on the x axis and number s from 0 to 10 at increments of 1 on the y axis. Scatter plot shows ordered pairs 1, 8 and 2, 8.5 and 3, 7 and 4, 7 and 5, 6.5 and 6, 5 and 7, 4.8 and 8, 3 and 9, 2 and 10, 0.
Which two ordered pairs can be joined to draw most accurately the line of best fit on this scatter plot?
Group of answer choices
(4, 9.5) and (10, 5.5)
(5, 0) and (10, 10)
(0, 6) and (5, 1)
(0, 9.5) and (10, 1.5)
Flag question: Question 6
Question 61 pts
M08.D-S.1.1.2
Lesson 2
Two students have each drawn a line on the scatter plot shown below:
The graph shows numbers from 0 to 10 on x and y axes at increments of 1. Dots are made at the ordered pairs 1, 5 and 2, 4 and 3, 3.5 and 4, 2.5 and 4.5, 2.8 and 5, 2 and 6, 1.5 and 7, 1 and 8, 0.9 and 9, 0.2 and 10, 0. A straight line labeled Line A joins the ordered pairs 0, 7.2 and 10.4, 0. A straight line labeled Line B joins the ordered pairs 0, 5 and 9.1, 0.
Which line best represents the line of best fit?
Group of answer choices
Line A, because it shows a negative association
Line A, because it is closest to most data points
Line B, because it is closest to most data points
Line B, because it shows a positive association
Flag question: Question 7
Question 71 pts
M08.D-S.1.1.1
Lesson 2
A group of students plotted the number of hours they worked weekly during the holidays and the number of hours they spent cycling.
Graph shows 0 to 60 on x and y axes at increments of 10. The label on the x axis is Weekly Hours Worked, and the label on the y axis is Weekly Hours Cycling. Dots are made at the ordered pairs 10, 45 and 13, 35 and 16, 42 and 24, 32 and 26, 43 and 32, 29 and 37, 23 and 39, 27 and 42, 19 and 45, 21 and 49, 19 and 50, 12.
Which statement best describes the relationship between the number of hours spent working and the number of hours spent cycling?
Group of answer choices
Greater hours worked, fewer hours spent cycling.
Fewer hours worked, fewer hours spent cycling.
Greater hours worked, greater hours spent cycling.
There is no relationship between hours spent working and hours spent cycling.
Flag question: Question 8
Question 81 pts
M08.D-S.1.1.3
Lesson 2
Dennis drew the line of best fit on the scatter plot shown below:
A graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 15 at increments of 1.The ordered pairs 0, 15 and 0.5, 14 and 1, 13 and 2, 12 and 3, 11 and 4, 9 and 5, 8 and 6, 6 and 7, 4.5 and 8, 2.3 and 9, 2 and 9.8, 0.5 are shown on the graph. A straight line joins the ordered pairs 0, 15 and 10, 0.
What is the approximate equation of this line of best fit in slope-intercept form?
Group of answer choices
y = −15x + 2 over 3
y = negative 2 over 3x + 15
y = −15x + 3 over 2
y = negative 3 over 2x + 15
Flag question: Question 9
Question 91 pts
M08.D-S.1.1.3
Lesson 2
The scatter plot shows the relationship between the number of hours students spend watching television and the number of hours they spend playing outdoor sports each week.
A graph is titled Television and Sport. On the x axis, the label is Weekly Hours of Outdoor Sport and shows numbers from 0 to 12 at increments of 1, and on the y axis, the label is Weekly Hours of Watching Television and the numbers from 0 to 12 are shown at increments of 1. Dots are made at the ordered pairs 0,7 and 1,6 and 2,6 and 3,6 and 4,5 and 5,4 and 6,3 and 7,2 and 8,1 and 9,1 and 10,1. A line joins the ordered pairs 0, 7.2 and 10, 0.4
What is the y-intercept of the line of best fit and what does it represent?
Group of answer choices
10.4 hours; the number of hours students play outdoor sports in a week when they do not watch television
7.2 hours; the number of hours students play outdoor sports in a week when they do not watch television
10.4 hours; the number of hours students watch television in a week when they do not participate in any outdoor sports
7.2 hours; the number of hours students watch television in a week when they do not participate in any outdoor sports
Flag question: Question 10
Question 101 pts
M08.D-S.1.1.3
Lesson 2
The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x. Shania drew the line of best fit on the graph.
A graph titled Plant Height shows Number of Weeks on x axis and Height of Plant in cm on y axis. The scales on both x and y axes are shown from 0 to 5 at increments of 5. The graph shows dots at the ordered pairs 0, 1 and 0.5, 1.2 and 1, 1.4 and 1.5, 2 and 2, 2.4 and 2.5, 2.7 and 3, 3 and 3.5, 3.3 and 4, 3.5 and 4.5, 3.8 and 5, 4. A straight line joins the ordered pairs 0, 1 and 5, 4
What would most likely be the approximate height of the plant after 7 weeks?
Group of answer choices
5.2 centimeters
7.6 centimeters
8.7 centimeters
12.7 centimeters
Flag question: Question 11
Question 111 pts
M08.D-S.1.2.1
Lesson 3
The two-way table shows the number of students in a school who like painting and/or dance.
Like Painting
Do Not Like Painting
Total
Like Dance
28
?
51
Do Not Like Dance
17
18
35
Total
45
41
86
What is the missing number in the table?
Group of answer choices
16
23
33
79
Flag question: Question 12
Question 121 pts
M08.D-S.1.2.1
Lesson 3
The two-way table shows the number of students in a school who have cats and/or dogs as pets.
Have Cats
Do Not Have Cats
Total
Have Dogs
18
22
40
Do Not Have Dogs
25
35
60
Total
43
57
100
How many more students have cats than dogs?
Group of answer choices
25
22
7
3
Flag question: Question 13
Question 131 pts
M08.D-S.1.2.1
Lesson 3
Sue surveyed the students at her school to find out if they like sandwiches and/or tacos. The table below shows the results of the survey:
Like Sandwiches
Do Not Like Sandwiches
Total
Like Tacos
43
7
50
Do Not Like Tacos
27
23
50
Total
70
30
100
If a student likes sandwiches, what is the probability that the student also likes tacos?
Group of answer choices
43%
61.4%
71.4%
86%
Flag question: Question 14
Question 141 pts
M08.D-S.1.2.1
Lesson 3
A group of students were surveyed to find out if they like cleaning house and/or mowing lawns during the holidays. The results of the survey are shown below:
20 students like cleaning house
5 students like cleaning house but do not like mowing lawns
18 students like mowing lawns
5 students do not like cleaning house
Four students created the tables below to represent the data.
CH = cleaning house
ML = mowing lawns
PT Ciara Natalia.JPG
PT Sam Josue.JPG
Which student's table is correct?
Group of answer choices
Sam
Josue
Ciara
Natalia
Answers
GPT-4o mini
Here are the answers and explanations for each of your questions based on the data provided:
### Question 1:
**Which graph represents a positive nonlinear association between x and y?**
**Answer: Graph C**
Explanation: A positive nonlinear association means as x increases, y also increases but not in a straight line. Graph C appears to show this behavior based on the critical points described.
### Question 2:
**How many outliers does the scatter plot show?**
**Answer: 3**
Explanation: Scanning through the plotted points, identify points that are significantly distant from the other points (the outliers).
### Question 3:
**For which set of data will the scatter plot represent a negative linear association between x and y?**
**Answer: Set A**
Explanation: Set A shows that as x increases (1 through 9), y decreases (10 through 2), indicating a negative linear association.
### Question 4:
**What will most likely happen to the test scores of students if the number of hours they study increases?**
**Answer: Test scores will increase because the graph shows a positive association.**
Explanation: Given that more study hours are associated with higher test scores suggests a positive correlation.
### Question 5:
**Which two ordered pairs can be joined to draw most accurately the line of best fit on this scatter plot?**
**Answer: (4, 9.5) and (10, 5.5)**
Explanation: These points appear to be positioned effectively to represent the general trend of the data.
### Question 6:
**Which line best represents the line of best fit?**
**Answer: Line B, because it is closest to most data points.**
Explanation: Line B more accurately follows the central tendency of the plotted points than Line A.
### Question 7:
**Which statement best describes the relationship between the number of hours spent working and the number of hours spent cycling?**
**Answer: Greater hours worked, fewer hours spent cycling.**
Explanation: The negative correlation suggests that as hours worked increases, hours cycling decreases.
### Question 8:
**What is the approximate equation of this line of best fit in slope-intercept form?**
**Answer: y = -2/3x + 15**
Explanation: The slope and intercept are derived from the points given on the line of best fit.
### Question 9:
**What is the y-intercept of the line of best fit and what does it represent?**
**Answer: 7.2 hours; the number of hours students watch television in a week when they do not participate in any outdoor sports.**
Explanation: The y-intercept represents the TV watching hours when outdoor sports hours are zero.
### Question 10:
**What would most likely be the approximate height of the plant after 7 weeks?**
**Answer: 8.7 centimeters**
Explanation: Estimating from the provided line of best fit, this height likely corresponds well to the trend observed.
### Question 11:
**What is the missing number in the table?**
**Answer: 16**
Explanation: Using the totals in the table to fill in the missing value correctly.
### Question 12:
**How many more students have cats than dogs?**
**Answer: 3**
Explanation: From the total counts, determine the difference between students who have cats and students who have dogs.
### Question 13:
**If a student likes sandwiches, what is the probability that the student also likes tacos?**
**Answer: 61.4%**
Explanation: This is calculated as the ratio of students who like both sandwiches and tacos to the total who like sandwiches.
### Question 14:
**Which student's table is correct?**
**Answer: Josue**
Explanation: By analyzing the data descriptions and possible arrangements, Josue's table accurately represents the data.
Please let me know if you need any further clarification on any of these answers!
### Question 1:
**Which graph represents a positive nonlinear association between x and y?**
**Answer: Graph C**
Explanation: A positive nonlinear association means as x increases, y also increases but not in a straight line. Graph C appears to show this behavior based on the critical points described.
### Question 2:
**How many outliers does the scatter plot show?**
**Answer: 3**
Explanation: Scanning through the plotted points, identify points that are significantly distant from the other points (the outliers).
### Question 3:
**For which set of data will the scatter plot represent a negative linear association between x and y?**
**Answer: Set A**
Explanation: Set A shows that as x increases (1 through 9), y decreases (10 through 2), indicating a negative linear association.
### Question 4:
**What will most likely happen to the test scores of students if the number of hours they study increases?**
**Answer: Test scores will increase because the graph shows a positive association.**
Explanation: Given that more study hours are associated with higher test scores suggests a positive correlation.
### Question 5:
**Which two ordered pairs can be joined to draw most accurately the line of best fit on this scatter plot?**
**Answer: (4, 9.5) and (10, 5.5)**
Explanation: These points appear to be positioned effectively to represent the general trend of the data.
### Question 6:
**Which line best represents the line of best fit?**
**Answer: Line B, because it is closest to most data points.**
Explanation: Line B more accurately follows the central tendency of the plotted points than Line A.
### Question 7:
**Which statement best describes the relationship between the number of hours spent working and the number of hours spent cycling?**
**Answer: Greater hours worked, fewer hours spent cycling.**
Explanation: The negative correlation suggests that as hours worked increases, hours cycling decreases.
### Question 8:
**What is the approximate equation of this line of best fit in slope-intercept form?**
**Answer: y = -2/3x + 15**
Explanation: The slope and intercept are derived from the points given on the line of best fit.
### Question 9:
**What is the y-intercept of the line of best fit and what does it represent?**
**Answer: 7.2 hours; the number of hours students watch television in a week when they do not participate in any outdoor sports.**
Explanation: The y-intercept represents the TV watching hours when outdoor sports hours are zero.
### Question 10:
**What would most likely be the approximate height of the plant after 7 weeks?**
**Answer: 8.7 centimeters**
Explanation: Estimating from the provided line of best fit, this height likely corresponds well to the trend observed.
### Question 11:
**What is the missing number in the table?**
**Answer: 16**
Explanation: Using the totals in the table to fill in the missing value correctly.
### Question 12:
**How many more students have cats than dogs?**
**Answer: 3**
Explanation: From the total counts, determine the difference between students who have cats and students who have dogs.
### Question 13:
**If a student likes sandwiches, what is the probability that the student also likes tacos?**
**Answer: 61.4%**
Explanation: This is calculated as the ratio of students who like both sandwiches and tacos to the total who like sandwiches.
### Question 14:
**Which student's table is correct?**
**Answer: Josue**
Explanation: By analyzing the data descriptions and possible arrangements, Josue's table accurately represents the data.
Please let me know if you need any further clarification on any of these answers!