Scatter Plot Examples in Math

Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Scatter Plot.

This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.

Concept Recap

A scatter plot is a graph with one quantitative variable on each axis where each data point is plotted as a dot, revealing relationships between the two variables.

Each dot is one observation — as you scan left to right, the up/down pattern of dots reveals whether the variables tend to increase or decrease together.

Read the full concept explanation →

How to Use These Examples

  • Read the first worked example with the solution open so the structure is clear.
  • Try the practice problems before revealing each solution.
  • Use the related concepts and background knowledge badges if you feel stuck.

What to Focus On

Core idea: The overall shape, direction, and spread of the dot cloud tell you the form, direction, and strength of the relationship between the two variables.

Common stuck point: No pattern might mean no relationship OR a non-linear relationship.

Sense of Study hint: Plot each (x, y) pair as a dot. Step back and look at the overall shape before drawing any line -- is it linear, curved, or scattered?

Worked Examples

Example 1

easy
Given the data pairs (x, y): (1,2), (2,4), (3,5), (4,4), (5,6), describe how to create a scatter plot and identify the direction of the association.

Solution

  1. 1
    Set up axes: horizontal axis for x (explanatory variable), vertical axis for y (response variable)
  2. 2
    Plot each ordered pair as a point: (1,2), (2,4), (3,5), (4,4), (5,6)
  3. 3
    Observe the pattern: as x increases, y generally increases
  4. 4
    Identify association direction: positive association (upward trend from left to right)

Answer

The scatter plot shows a positive association between x and y.
Scatter plots reveal the direction (positive/negative/none), form (linear/curved), and strength of association between two quantitative variables. Always label axes and plot one point per data pair.

Example 2

medium
A scatter plot of study hours (x) vs. test scores (y) shows points clustered tightly around an upward-sloping line. Describe the association in terms of direction, form, and strength. Then identify what an outlier would look like.

Practice Problems

Try these problems on your own first, then open the solution to compare your method.

Example 1

easy
A scatter plot shows that as temperature increases, ice cream sales also increase. What type of association is this, and what does a scatter plot help us determine that a table of numbers cannot?

Example 2

hard
A scatter plot of age (x) vs. reaction time (y) shows a curved upward pattern (reaction time increases with age, faster for older individuals). Why would fitting a straight line to this data be problematic?
← Back to Scatter Plot Practice Mode

Background Knowledge

These ideas may be useful before you work through the harder examples.

coordinate plane