Lesson 22

Observing More Patterns in Scatter Plots

Let’s look for other patterns in data.

Problem 1

Literacy rate and population for the 12 countries with more than 100 million people are shown in the scatter plot. Circle any clusters in the data.

Scatterplot.

Problem 2

Here is a scatter plot:

A scatterplot, age in weeks, 0 to 25 by 5, weight in pounds, 0 to 80 by 20. Points begin at the origin and trend up and right with a consistent slope to around 24 comma 60.

Select all the following that describe the association in the scatter plot:

A:

Linear association

B:

Non-linear association

C:

Positive association

D:

Negative association

E:

No association

Problem 3

For the same data, two different models are graphed. Which model more closely matches the data? Explain your reasoning.

Scatterplot, labeled A. 
Scatterplot, labeled B. 
(From Unit 5, Lesson 20.)

Problem 4

Here is a scatter plot of data for some of the tallest mountains on Earth.

The heights in meters and year of first recorded ascent is shown. Mount Everest is the tallest mountain in this set of data.

  1. Estimate the height of Mount Everest.
  2. Estimate the year of the first recorded ascent of Mount Everest.
Scatterplot, first ascent, 1930 to 2020, height in meters, 7000 to 9000. Please ask for further assistance.
(From Unit 5, Lesson 18.)

Problem 5

Different stores across the country sell a book for different prices. The table shows the price of the book in dollars and the number of books sold at that price.

price in dollars number sold
11.25 53
10.50 60
12.10 30
8.45 81
9.25 70
9.75 80
7.25 120
12 37
9.99 130
7.99 100
8.75 90
A blank coordinate plane with 21 horizontal units and 29 vertical units.
  1. Draw a scatter plot of this data. Label the axes.
  2. Are there any outliers? Explain your reasoning.
  3. If there is a relationship between the variables, explain what it is.
  4. Remove any outliers, and draw a line that you think is a good fit for the data.