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Data Chapter Questions
1. How do scatter plots help us analyze data from bivariate data?
2. What is the prediction equation and what information can it tell us?
3. What is a two-way table? What is relative frequency?
4. How does a two-way table and relative frequencies help determine if there is an association
between two variables?
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Bivariate DataClassworkIdentity the scatter plots as linear or non-linear with a positive or negative association.
1. _______________________ 2. _______________________
3. _______________________ 4. _______________________
5. _______________________ 6. _______________________
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Plot the following data from the table onto a scatter plot. Identity the scatter plot as linear or non-linear with a positive or negative association.
7.
8.
9.
10.
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HomeworkIdentity the scatter plots as linear or non-linear with a positive or negative association.
11. _______________________ 12. _______________________
13. _______________________ 14. _______________________
15. _______________________ 16. _______________________
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Plot the following data from the table onto a scatter plot. Identity the scatter plot as linear or non-linear with a positive or negative association.
17.
18.
19.
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20.
Line of Best FitClassworkIdentify which line is the line of best fit for each scatter plot.
21.
22.
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23. For the graph at the right, which two points would you use to draw the line of best fit?
a. A and C
b. A and B
c. A and D
d. C and B
24. Which two points would you use to draw the line of best fit for the scatter plot at the right?
a. A and B
b. A and D
c. C and B
d. C and D
25. The following table shows the number of hours 10 students studied and their resulting test scores where x = the number of hours studied and y = test score. Graph the data onto a scatter plot and draw the line of best fit for the graph.
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26. The following table shows the shoe sizes of ten different men and their heights where x = height and y = shoe size. Graph the data onto a scatter plot and draw the line of best fit for the graph.
HomeworkIdentify which line is the line of best fit for each scatter plot.
27.
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28.
29. For the graph at the right, which two points would you use to draw the line of best fit?
a. A and B
b. A and C
c. A and D
d. C and D
30. For the graph at the right, which two pointswould you use to draw the line of best fit?
a. A and B
b. A and C
c. A and D
d. D and B
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31. The table below shows the average movie ticket prices every five years since 1970. Plot the data on a scatter plot. Draw the line of best fit through the points.
32. The table below shows the number of music CD’s sold from the year 2000 through 2008. Plot the data on a scatter plot. Draw the line of best fit.
Determining the Prediction EquationClasswork
33. Determine the prediction equation using the two labeled points in the graph.a. Prediction equation: ____________________b. What would be the predicted value for x = 7?
_________________
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c. Will the result for y when x = 7 be an interpolation or extrapolation? ___________________
34. Determine the prediction equation using the two labeled points in the graph.a. Prediction equation: __________________b. What would be the predicted value for x =
40? _______________c. Will the result for y when x = 40 be an
interpolation or extrapolation? ______________________
35. Determine the prediction equation using the two labeled points in the graph.a. Draw the line of best fit.b. Prediction equation: __________________c. What would be the predicted value for x = -2?
______________________d. Will the result for y when x = -2 be an
interpolation or extrapolation? _______________________
36. Determine the prediction equation.a. Draw the line of best fit using the two
labeled points.b. Prediction equation: _____________
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1
c. What would be the predicted shoe size for a girl that has a height of 62 inches? ____________
d. Will the result from part c. be an extrapolation or interpolation? _____________________
37. Use the data from the table below to make a scatter plot. Draw the line of best fit and determine the prediction equation.
38. Use the data to make a scatter plot. Determine the prediction equation.
Homework39. Determine the prediction equation using the
two labeled points in the graph.
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a. Draw the line of best fit.b. Prediction equation: __________________c. What would be the predicted value for x = 3? _________________d. Will the result for y when x = 3 be an interpolation or extrapolation?
40. Determine the prediction equation using the two labeled points in the graph.a. Draw the line of best fit.b. Prediction equation: _________________c. What would be the predicted value for x =
110? ___________________d. Will the result for y when x = 110 be an
interpolation or extrapolation?
41. Determine the prediction equation using the two labeled points in the graph.a. Draw the line of best fit.b. Prediction equation: _________________c. What would be the predicted value for x
= -3? ________________d. Will the result for y when x = -3 be an
interpolation or extrapolation? __________________
42. a. Draw the line of best fit.
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b. Prediction equation: ___________________c. What would be the predicted shoe size for a man whose height is 72 in.? __________d. Will the result from part c. be an extrapolation or interpolation? _____________________
43. Use the data from the table below to make a scatter plot. Draw the line of best fit and determine the prediction equation.
44. Use the data to make a scatter plot. Draw the line of best fit and determine the prediction equation.
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Two-Way TableClasswork
45.
a. Fill in the totals.
b. How many people have a cell phone but don’t have a landline phone? _____________________
c. How many people don’t have a cell phone but have a landline phone? _____________________
d. How many people don’t have a cell phone nor a landline phone? _____________________
e. How many people have a landline phone? _____________________
f. How many people don’t have a landline phone? _____________________
46. Using the table above, find the relative frequencies by row and by column.
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a. What is the relative frequency of people who have a cell phone but do not have a
landline phone to all people that have a cell phone? _____________________
b. What is the relative frequency of people that have a have a cell phone and have a
landline phone to all people who have a landline phone? _____________________
47. Sam surveyed his classmates to find out if they played a sport after school or practiced in
the school band. Fourteen of his classmates played a sport. Of those 14, only 5 participated
in the school band. Eight students played in the school band, out of those 8, 3 did not play
sports. There were ten students who did not play a sport nor participate in the school band.
a. Fill out a two-way table using the data.
b. Find the relative frequencies by row.
c. Find the relative frequencies by column.
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d. How many people are in a band and play sports after school? _____________________
e. How many people play sports but do not participate in band? _____________________
f. How many people do not play sports but are in band? _____________________
g. What is the relative frequency of students who do not play sports and are in the band to
all students who play sports? _____________________
h. What is the relative frequency of students who are in band and play sports to all
students who practice in band? _____________________
Homework
48.
a. Fill in the totals.
b. How many elementary students play computer games? _____________________
c. How many high school students play video games? _____________________
d. How many elementary school students participated in this survey? _____________________
e. How many high school students participated in this survey? _____________________
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49. Using data from the previous table, calculate the relative frequencies by row and by column.
a. What is the relative frequency of elementary students that play computer games to all
students that play computer games? _____________________
b. What is the relative frequency of high school students that play computer games to the
total number of high school students? _____________________
c. What is the relative frequency of high school students that play video games to the total
number of students that play video games? _____________________
50. The school district’s records show that there are 90 elementary students. A total of 175
students attend the middle school and elementary school. The students either walk or ride
the bus to school. There are 30 elementary students that walk to school, and there are 10
middle school students that take the bus to school. There are a total of 70 students that take
the bus to school. There are 75 middle school students that walk to school.
a. Fill out the two-way table with the information given.
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b. Find the relative frequencies by row.
c. Find the relative frequencies by column.
d. How many students walk to school? e. How many elementary students ride the bus to school? _____________________
f. How many middle school students are in the school district? _____________________
g. What is the relative frequency of elementary students that walk to school to the total
number of students that walk to school? _____________________
h. What is the relative frequency of elementary students that walk to school to the total
number of elementary students? _____________________
i. What is the relative frequency of middle school students that walk to school to the total
number of middle school students? _____________________
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j. Is there an association between grade level and how students get to school?
_____________________
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Data Unit Review
Multiple Choice
1. What kind of scatter plot is shown to the right?
a. linear, positive correlationb. linear, negative correlationc. non-lineard. linear, no correlation
2. What kind of scatter plot is shown at the right? a. linear, positive correlationb. linear, negative correlationc. non-lineard. linear, no correlation
3. What conclusion can be drawn from this graph?
a. The number of meals eaten in a day increases as the number of miles driven in a car increases.
b. The number of meals eaten in a day decreases as the number of miles driven in a car increases.
c. The amont of meals eaten in a day is equal to the number of miles driven in a car.
d. There is no relationship between the number of meals eaten in a day and the number of miles driven in a car.
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4. Which of the following graphs show a linear scatter plot with negative correlation?
a. b.
c d.
5. A study showed that the more hours a child spends playing video games, their math test scores decrease. Which of the following graphs shows this relationship?
a. b.
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c. d.
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6. Which of the following is the line of best fit for this graph?
a. A
b. B
c. C
d. None of these
7. Which of the following is the line of best fit for this graph?
a. A
b. B
c. C
d. None of these
8. Which points would you use to draw the line of best fit for the graph below?
a. A and B
b. A and C
c. A and D
d. C and B
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9. Which points would you use to draw the line of best fit for the graph below?
a. A and B
b. A and C
c. A and D
d. B and D
10. What is the slope of the trend line for this graph?
a.−23
b.23
c.32
d.−32
11. What is the prediction equation for the previous graph?
a. y=23x+ 14
3
b. y=−23x+ 22
3
c. y=32x+3
d. y=−32x−3
12. The table shows the data that was used to make the scatter plot from question 9. What would be the predicted value for x = 9? Will it be an extrapolation or interpolation?
a.34 , interpolation
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b.−34 , extrapolation
c.43 , extrapolation
d.43 , interpolation
13. Using the same prediction equation from question 10, what is the expected value of 5.5? Is the value an extrapolation or interpolation?
a.113 , interpolation
b.113 , extrapolation
c.73 , interpolation
d.73 , extrapolation
14. What is the prediction equation for this scatter graph?
a. y=34x+ 34
b. y=12x+ 34
c. y=13x+ 34
d. y=23x+ 34
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15. This is the table used to create the scatter plot from question 14. What is the predicted value for x = 2? Is the result an extrapolation, or interpolation?
a.74 , extrapolation
b. 2, interpolation
c.54 , interpolation
d.74 , interpolation
June surveyed the 7th and 8th grades to see which class they liked better, math or English. The results are shown in the two-way table below. Answer the questions that follow.
16. How many 7th grade students did June survey?
a. 112 students
b. 131 students
c. 145 students
d. 164 student
17. How many 8th grade students did June survey?
a. 112 students
b. 131 students
c. 145 students
d. 164 students
18. What is the relative frequency of 7th grade students that chose math to all 7th grade students?
a. 0.54
b. 0.48
c. 0.47
d. 0.40
19. What is the relative frequency of 8th grade students that chose English to all students that chose English?
a. 0.54 b. 0.40
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c. 0.47 d. 0.48
20. What is the relative frequency of 7th grade students that chose English to all students that chose English?
a. 0.59
b. 0.58
c. 0.48
d. 0.60
Short Constructed Response
Identify the scatter graphs as linear or non-linear.
21. ________________________ 22. ________________________
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23. ________________________ 24. ________________________
True or False25. The graph at the right shows a positive association between the number of hours studied and a student’s test score. ________________________
26. The graph at the right shows a positive association between men’s heights and their shoe sizes.________________________
27. Use the following table to make a scatter plot. Determine if the graph is linear or non-linear and if it has a positive or negative association.
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28. Calculate the prediction equation for this graph using the two labeled points.
The following table shows the data used to create the scatter plot from question 28
29. What is the predicted value for x = 4? Is this an interpolation or extrapolation? What is the predicted value for 10? Is this an interpolation or extrapolation?
Extended Constructed Reponse
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30. The following survey shows the data of 8 different employees that work for the same company. Their hourly pay rate is dependent upon their years of experience. Graph the information onto a scatter plot. Then answer the questions. Make sure to label your axes and title the graph.
a. What kind of relationship is shown from the scatter plot? ________________________b. Draw the line of best fit and calculate the prediction equation.
________________________c. What does the slope of the prediction equation tell us? ________________________d. What would be the predicted wage for a person that has 10 years of experience?
________________________e. What would be the predicted wage for a person that has 5 years of experience?
________________________
31. Cathy wanted to know what kind of shows the 8th grade class preferred – dramas or comedies. 55 students said they liked comedies and 56 students said they preferred dramas. 25 students liked both dramas and comedies. There were 41 students who did not like dramas nor comedies. Complete a two way table using the information given.
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a. How many students were surveyed? ________________________b. How many students enjoy dramas but not comedies? ________________________c. How many students like comedies but not dramas? ________________________d. Calculate the relative frequencies by row:
e. Calculate the relative frequencies by column:
32. Paul surveyed the 7th and 8th grades to find out if they participated in sports, or a non-sport activity after school such as chess club, yearbook, or band. He surveyed 215 7th graders, which 90 participated in sports. He surveyed 231 8th graders, and 146 participated in a non-sport activity. Make a two way table using the information.
a. How many 7th graders play a sport? ________________________b. How many students play a sport? ________________________
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c. How many students are involved in a non-sport activity? ________________________d. Find the relative frequencies by row:
e. Find the relative frequencies by column:
f. Does there seem to be an association between the grades and what activities they are involved in?
Answer Key
1. non-linear2. linear: negative association3. linear: positive association4. linear: negative association5. linear: negative association6. linear: no association7. linear: positive association 8. linear: negative association
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9. non-linear
10. linear: positive association
11. linear: negative association12. non-linear13. linear: positive association14. linear: positive association15. non-linear16. linear: negative association17. non-linear
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60
18. linear: negative association
19. linear: negative association
20. linear: positive association
21. B22. A23. b24. c25.
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56
400
26.
27. B28. B29. c30. b31.
32.
33. a. y=75x+ 35
b. 10.4c. extrapolation
34. a. y=1315x+ 113
b. 3813
c. interpolation 35. a.
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b. y=1316x+ 3316
c. 716
d. interpolation 36. a.
b. y=16x−52
c. 7 56
d. interpolation
37. y=710x+ 1110
38. y=−354x+17,828 3
4
39. a.
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b. y=23x+2
c. 4d. interpolation
40. a.
b. y=−1125
x+104
c. 55.6d. extrapolation
41. a.
b. y=−45x+ 24
5c. 7.2d. interpolation
42. a.
b. y=12x−25.5
c. 10.5d. interpolation
43. y=−34
+1
44. y=−2256
+75,525
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31
38
69861
1
1
2
45. a.
b. 35c. 5d. 3e. 31f. 38
46.
a. 0.57b. 0.84
47. a.
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Plays a sport Doesn’t Play a Sport
Plays in Band
Not in Band
Total
Total
10
5
9
3 8
14 13 27
Plays a sport Doesn’t Play a Sport
Plays in Band
Not in Band
Total
Total
1
2
Plays a sport Doesn’t Play a Sport
Plays in Band
Not in Band
Total
Total 1 1 2
79 73
69
83
152
b.
c.
d. 5e. 9f. 3g. 0.21h. 0.625
48. a.
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1
1
2
1 1 2
Walk to School Ride the Bus Total
Total
Elementary School Students
Middle School Students
30
10
70
75
60
105
90
85
175
Walk to School Ride the Bus Total
Total
Elementary School Students
Middle School Students
1
1
2
b. 23c. 27d. 69e. 83
49.
a. 0.29b. 0.67c. 0.37
50. a.
b.
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Walk to School Ride the Bus Total
Total
Elementary School Students
Middle School Students
11 2
c.
d. 105e. 60f. 85g. 0.29h. 0.33i. 0.88j. yes
Unit Review Answer Key1. a2. d3. d4. a5. a6. b7. a8. a9. c10. a11. b12. c13. a
14. b15. d16. c17. b18. a19. b20. d21. linear22. non-linear23. linear24. non-linear25. true26. false
27. linear: positive association
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years
Pay
Rat
e
Likes Comedies
Likes Dramas Total
Doesn’t Like Comedies
Doesn’t Like Dramas
Total
25
41
55
56
8196
97
80
177
28. y=−37
+ 457
29. when x=4: 337 , an interpolation
when x=10, 157 , an extrapolation
30.
a. linear
b. y=67x+ 587
c. The slope tells us that every 7 years, the pay rate increases by 6
d. 1187
e. 887
31.
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Doesn’t Like Dramas Likes Dramas
Likes Comedies
Doesn’t Like Comedies
Total
Total
1
1
2
Total
Likes Comedies
Doesn’t Like Comedies
Doesn’t Like Dramas Likes Dramas Total
211
Non-Sport Activity Sport Activity
7th Graders
8th Graders
Total
Total
90 215
231146
125
85
175 271 446
Total
8th Graders
7th Graders
Sport Activity Non- Sport Activity
a. 177 studentsb. 56 studentsc. 55 studentsd.
e.
32.
a. 90b. 175c. 271d.
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Sport Activity Non- Sport Activity Total
Total
7th Graders
8th Graders
e.
f.
f. no
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