Interpreting
Characteristics
of Scatter Plots
Page: _____________
Date: ______________
Opening
: Interpreting Characteristics of Scatter Plots
How do you figure out if doing more homework
means getting a higher test grade?
Should I do my
homework?
Opening
: Interpreting Characteristics of Scatter Plots
In this lesson you will learn how to interpret a scatter
plot by identifying clusters, outliers, linear or nonlinear, and directional correlations (positive, negative,
and no correlation).
8.11A
Construct a scatter plot and describe the
observed data to address questions of
association such as linear, non linear,
and no association between bivariate
data.
Let’s
Review
Let’s
Review
100
Test score
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Opening
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Homework completed
: Interpreting Characteristics of Scatter Plots
CoreReview
Lesson
Let’s
CoreReview
Lesson
Let’s
Opening
: Interpreting
Characteristics of
Scatter Plots
100
Test score
90
80
X
70
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Y
Positive
correlation
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Homework completed
CoreReview
Lesson
Let’s
Opening
: Interpreting
Characteristics of
Scatter Plots
100
90
Test score
80
X
70
60
Y
Negative
correlation
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Hours watching TV
# of letters in last name
CoreReview
Lesson
Let’s
Opening
: Interpreting
Characteristics of
Scatter Plots
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No
correlation
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# of letters in first name
A Common
Let’s
Review Mistake
Opening
: Interpreting Characteristics of Scatter Plots
Guided
Practice
Let’s
Review
Your Turn…
# mp3 downloads
Opening
# letters in name
Money earned
Test scores
$$ on music card
Determine the correlation in each
graph.
Hours worked
: Interpreting Characteristics of Scatter Plots
Guided
Practice
Let’s
Review
Your Turn…
What would be the
correlation between shoe
size and number of miles
traveled to school each day?
Opening
: Interpreting Characteristics of Scatter Plots
CoreReview
Lesson
Let’s
CoreReview
Lesson
Let’s
Opening
: Interpreting
Characteristics of
Scatter Plots
Linear or Non-Linear?
Linear
Non
Linear
Non
Linear
Linear
A Common
Let’s
Review Mistake
Opening
: Interpreting
Characteristics of
Scatter Plots
Thinking that all graphs will cluster in
a linear pattern.
Opening
: Interpreting Characteristics of Scatter Plots
Perimeter of a square
CoreReview
Lesson
Let’s
Opening
: Interpreting
Characteristics of
Scatter Plots
100
90
80
Linear
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Side length of a square
CoreReview
Lesson
Let’s
Opening
: Interpreting
Characteristics of
Scatter Plots
Area of a square
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70
Non-Linear
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Side length of a square
CoreReview
Lesson
Let’s
Opening
: Interpreting
Characteristics of
Scatter Plots
10
Height of ball
(feet)
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Non-Linear
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Time since ball released
(seconds)
CoreReview
Lesson
Let’s
Clusters
and
outliers
CoreReview
Lesson
Let’s
100
90
Test score
80
These points form a
tight cluster in an
upward pattern.
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Homework completed
CoreReview
Lesson
Let’s
So, homework
and tests
scores ARE
related!!
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90
Test score
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40
This point is an
outlier.
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Homework completed
CoreReview
Lesson
Let’s
Possible reasons for this outlier….
I don’t really
understand.
Opening
I get nervous
when I test.
I can’t remember
how many
assignments I did.
: Interpreting Characteristics of Scatter Plots
CoreReview
Lesson
Let’s
Yes! Doing more
homework means
getting a higher
test grade MOST of
the time!
Opening
The clusters tell
me that I should
do my homework!
: Interpreting Characteristics of Scatter Plots
Guided
Practice
Let’s
Review
Circle and describe
the pattern of the
cluster of points in
this graph.
100
Test score
Your Turn…
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Hours watching TV
Opening
Box any outliers if
found.
: Interpreting Characteristics of Scatter Plots
Letters in Last Name
A Common
Let’s
Review Mistake
Where are the
clusters and
outliers?
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Homework completed
Closing
: Interpreting Characteristics of Scatter Plots
In this lesson you learned…
..how to interpret a scatter plot by
identifying clusters, outliers, linear
or non-linear, and directional
associations (positive, negative,
and no association).
: Interpreting
Characteristics of Scatter
Plots
Closing
Dollars on gift card
Quick Quiz
Let’s
Review
20
18
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2
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8 9
10
Number of songs
downloaded
1. Identify the outlier in
the graph.
2. Give possible reasons
for the outlier.
3. What is the
correlation?
4. Is the data linear or
nonlinear?