linear association.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Name
Build Understanding
Two data sets have no association when there is no relationship between
Connect to Vocabulary
their data values.
A scatter plot is a graph
An association is the description of the relationship between
two data sets. Two data sets have a positive association when
with points plotted to
show a possible
relationship between two
sets of data.
Mrs. Tenney wanted to see if there was any relationship between the
number of siblings that a student has and their score on the test. The
data are shown in the scatter plot.
their data values increase together or decrease together.
The graph of the data from Mrs. Tenney's class is shown
E. Describe the change in test scores that you see in
the graph.
in a scatter plot.
100
A. Describe the change that you see in the graph.
100
As the
increases,
75
the
increases.
75
50
B. When data points lie roughly along a line, the
data set displays a linear association. When
the data seem to follow a pattern resembling
anything other than a line, the data set either
displays a nonlinear association or no association
50
25
F. Do you think the relation between test scores
and number of siblings appears linear? Explain.
25
2 4 6 8
10
Number of siblings
5 10 15 20 25
Study time (h)
at all. Do you think the relation between test
scores and study time appears linear? Explain.
Connect to Vocabulary
Step It Out
An outlier for a data set
of ordered pairs is a point
2 If a scatter plot has an association, that association can
also be strong or weak. For linear data, the association is
stronger the closer the points are to making a line.
that does not follow the
overall pattern on a graph
Two data sets have a negative association if one set of data values
increases while the other decreases.
of the data set.
A
B
D
Mrs. Tenney also tracked the number of hours students spent on social
media sites and the scores they got on the test. The data are shown in the
scatter plot.
10
10
10
10
8
8
8.
6.
6.
6.
4
4
4
100 .
2
2
2
..
75
2 4 6 8 10
2 4 6 8 10
2 4 6 8 10
2 4 6 8 10
50
A. Which scatter plot(s) have a positive association? Is the association of
each strong positive or weak positive?
25
5 10 15 20 25
Social media time (h)
B. Which graph or graphs appear to have outliers?
C. Describe the change that you see in the graph.
C. A cluster is a set of closely grouped data.
Which graph or graphs appear to have a cluster?
As the
increases, the
decreases.
Turn and Talk Which scatter plot(s) have a negative association? Is the
association of each scatter plot strong negative or weak negative? How do
you know?
D. Do you think the relation between test scores and social media
time appears linear? Explain.
280
Module 8. Lesson 1
281
fest score
• Image Credit:
Test score
Transcribed Image Text:Name Build Understanding Two data sets have no association when there is no relationship between Connect to Vocabulary their data values. A scatter plot is a graph An association is the description of the relationship between two data sets. Two data sets have a positive association when with points plotted to show a possible relationship between two sets of data. Mrs. Tenney wanted to see if there was any relationship between the number of siblings that a student has and their score on the test. The data are shown in the scatter plot. their data values increase together or decrease together. The graph of the data from Mrs. Tenney's class is shown E. Describe the change in test scores that you see in the graph. in a scatter plot. 100 A. Describe the change that you see in the graph. 100 As the increases, 75 the increases. 75 50 B. When data points lie roughly along a line, the data set displays a linear association. When the data seem to follow a pattern resembling anything other than a line, the data set either displays a nonlinear association or no association 50 25 F. Do you think the relation between test scores and number of siblings appears linear? Explain. 25 2 4 6 8 10 Number of siblings 5 10 15 20 25 Study time (h) at all. Do you think the relation between test scores and study time appears linear? Explain. Connect to Vocabulary Step It Out An outlier for a data set of ordered pairs is a point 2 If a scatter plot has an association, that association can also be strong or weak. For linear data, the association is stronger the closer the points are to making a line. that does not follow the overall pattern on a graph Two data sets have a negative association if one set of data values increases while the other decreases. of the data set. A B D Mrs. Tenney also tracked the number of hours students spent on social media sites and the scores they got on the test. The data are shown in the scatter plot. 10 10 10 10 8 8 8. 6. 6. 6. 4 4 4 100 . 2 2 2 .. 75 2 4 6 8 10 2 4 6 8 10 2 4 6 8 10 2 4 6 8 10 50 A. Which scatter plot(s) have a positive association? Is the association of each strong positive or weak positive? 25 5 10 15 20 25 Social media time (h) B. Which graph or graphs appear to have outliers? C. Describe the change that you see in the graph. C. A cluster is a set of closely grouped data. Which graph or graphs appear to have a cluster? As the increases, the decreases. Turn and Talk Which scatter plot(s) have a negative association? Is the association of each scatter plot strong negative or weak negative? How do you know? D. Do you think the relation between test scores and social media time appears linear? Explain. 280 Module 8. Lesson 1 281 fest score • Image Credit: Test score
Connect Concepts
and Skills
Lesson 1
Name
C Scatter Plots and
Construct
Examine Association
I Can construct a scatter plot, determining whether an association is
positive or negative, strong or weak, and nonlinear or linear. I can recognize
outliers and dusters.
Spark Your Learning
Study
time (h)
Test
Score
Mrs. Tenney gave her students a test. The students had 3 weeks to
study for the test, and Mrs. Tenney tracked the number of hours
that each student studied and the scores they got on the test.
Graph the data in the table. Describe the graph.
19
97
12
81
16
89
20
98
16 hours
20 hours
10
75
15 hours
12
99
19 hours
10 hours
15
90
12 hours
15
88
19
100
16
91
8
72
10
78
15
72
18
95
21
98
Turn and Talk why do you think there is not a constant rate of change for
the number of hours studied and the test scores?
Module 8. Lesson 1
279
O Houghton Mifflin Harcourt Publishing Company • Image Credit: OMenkey Business Images/Shutterstock
Transcribed Image Text:Connect Concepts and Skills Lesson 1 Name C Scatter Plots and Construct Examine Association I Can construct a scatter plot, determining whether an association is positive or negative, strong or weak, and nonlinear or linear. I can recognize outliers and dusters. Spark Your Learning Study time (h) Test Score Mrs. Tenney gave her students a test. The students had 3 weeks to study for the test, and Mrs. Tenney tracked the number of hours that each student studied and the scores they got on the test. Graph the data in the table. Describe the graph. 19 97 12 81 16 89 20 98 16 hours 20 hours 10 75 15 hours 12 99 19 hours 10 hours 15 90 12 hours 15 88 19 100 16 91 8 72 10 78 15 72 18 95 21 98 Turn and Talk why do you think there is not a constant rate of change for the number of hours studied and the test scores? Module 8. Lesson 1 279 O Houghton Mifflin Harcourt Publishing Company • Image Credit: OMenkey Business Images/Shutterstock
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