Describing Trends in Scatter Plots

Describing Trends
in Scatter Plots

Lesson 5

Download for free at openupresources.org.

2019 Open Up Resources |

Let’s look for
associations
between variables!

Which One Doesn’t Belong:
Scatter Plots

Activate: Warm Up Activity 5.1

Which one doesn’t belong?

positive

association

A scatter plot that can be
modeled by a line with a
positive slope can be said
to show a positive trend or
a positive association.

negative

association

A scatter plot that can be
modeled by a line with a
negative slope can be said
to show a negative trend or
a negative association.

Dropdown

This is a negative association.​

Select answer

Drag and Drop

This is a ​

Placeholder

association.

Drag these tiles and drop them in the correct blank above

positive

negative

no

Fitting Lines

Comprehend/Apply: Activity 5.2
● MLR7: Compare and Connect

● Anticipate, Monitor, Select, Sequence, Connect

Draw It

On the next two slides, you will experiment with different lines to fit the data.

Draw

Try to fit a line through the data!

You have 1.5 minutes.

Don't panic!

Draw

Try to fit a line through the data!

You have 1.5 minutes.

Again, don't panic!

Open Ended

In your own words, describe what makes a line fit a data set well.

Good Fit Bad Fit

Comprehend/Apply: Activity 5.3 (optional)
● MLR1: Stronger and Clearer Each Time

● Notice and Wonder

What do you notice?
What do you wonder?

These are all prices of
used cars that are all the
same make and model
that are for sale.

What do we mean when
we say used car?

How many of these cars
were made in 2012?
(We will answer on next slide.)

What is the price of the
car made in 2008?

Fill in the Blanks

How many of these cars were made in 2012?

Fill in the Blanks

What is the price of the car made in 2008?

Only type the number.

The data shows a
positive association.
What does that mean in
this situation?

Cars made in a later
year tend to have a
higher price!

In this task, you will see
2 different models for
this set of data.

Select the Best

​Let's select the best line that
models the data

Which model did a better job of fitting with the data?

Let's do a waterfall to display your answer.
Type A or B. Wait for me to say waterfall.

What were some things that helped you determine
which model was better for this data?

​Let's do a waterfall again. Prepare your reasoning in the chat. Wait for me to say waterfall.

Model A fits the data better than Model B,
or Model A is a better fit.

Practice Test Problems

​Let's practice problems similar to our interim

Dropdown

The data have a

Select answer

association because as depth increases, temperature ​

Select answer

.

Multiple Choice

Which of the following is true about the relationship shown in the scatterplot?

• There is an outlier at 2 hours of playing video games.

• There is an outlier at 9 hours of playing video games.

• There is an outlier at 24 hours of playing video games.

• There is an outlier at 32 hours of playing video games.

Multiple Choice

Which statement describes the relationship?

• The number of sunny days decreases as the number of rainy days increases.

• The number of sunny days increases as the number of rainy days increases.

• The number of sunny days stays the same as the number of rainy days increases.

• There is no relationship between the number of sunny days and number of rainy days.

Multiple Choice

Based on the graph, which statement is true?

• The shorter amount of time Jan practices, the more free throw points she makes.

• The more time Jan practices, the fewer free throw points she makes.

• The more time Jan practices, the more free throw points she makes.

• There is no relationship between the number of free throws Jan makes and the amount of time she spends practicing.

Multiple Choice

Which conclusion best describes the data?

• The players who scored the most points played the longest.

• There is no correlation between the time played and the number of points scored.

• There is a positive correlation between time played and the number of points scored.

• There is a negative correlation between time played and the number of points scored.

Summarizer

​Let's review the big ideas
of the lesson

How would you describe the relationship between the weight
of a diamond and its price?

There is a
positive
association.

As the weight
increases, the
price tends to
increase.

Organize:
Lesson Synthesis

How can we tell if a line fits the data in a scatter
plot well?

It goes through
the “middle” of
the data.

The sign of the
slope matches the
sign of the
association.

The points are as
close as possible
to the line.

Today’s Goals

❏ I can draw a line to fit data

in a scatter plot.

❏ I can say whether data in a

scatter plot has a positive
or negative association
(or neither).

This is One Way to Do It

Apply/Summarize: Cool Down Activity 5.5

6-4-4: A 1 Foot Foot

Download for free at openupresources.org.