Practice Scatter Plot in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

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Quick 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 โ€” as you scan left to right, the up/down pattern of dots reveals whether the variables tend to increase or decrease together.

Showing a random 20 of 50 problems.

Example 1

medium
Does a strong association in a scatter plot imply causation?

Example 2

medium
A scatter plot's points fit y=2x+1y=2x+1. Predict y when x=10x=10.

Example 3

easy
Which type of plot best shows the relationship between two numerical variables?

Example 4

hard
A scatter plot trend line goes through (0,2)(0, 2) and (4,14)(4, 14). Find the slope.

Example 5

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 6

medium
Data: (1,5),(2,4),(3,3),(4,2)(1,5),(2,4),(3,3),(4,2). Describe the association and its slope.

Example 7

hard
You have a scatter plot showing a clear curved (parabolic) pattern. Why is a linear correlation coefficient rr misleading?

Example 8

hard
What can a scatter plot reveal that a correlation coefficient rr alone cannot?

Example 9

medium
A scatter plot of points (1,2),(2,1),(3,2),(4,1),(5,2)(1,2), (2,1), (3,2), (4,1), (5,2) shows what direction?

Example 10

challenge
Adding the point (10,50)(10, 50) to a cluster near the origin sharply tilts the trend line. What is this point's role?

Example 11

easy
What are the three features we typically describe in a scatter plot?

Example 12

hard
A trend line y=0.4x+2y = 0.4x + 2 models test scores from study hours. Interpret the slope in context.

Example 13

easy
On a scatter plot, the points form a tight cluster around a straight line. Describe the strength of the association.

Example 14

medium
Points (0,1),(1,3),(2,5),(3,7)(0,1),(1,3),(2,5),(3,7). Find the slope of the line through them.

Example 15

medium
A scatter plot shows the linear pattern y=2x+1y = 2x + 1 approximately. Predict yy when x=5x = 5.

Example 16

medium
Two scatter plots have slopes 0.50.5 and 55 but identical tight clustering. Compare correlation strength.

Example 17

challenge
A scatter plot shows ice-cream sales rising with temperature. Why is concluding 'heat causes more sales' more justified than 'cars cause accidents' from correlated counts?

Example 18

easy
A scatter plot shows hours studied (x) vs test score (y). As hours rise, scores rise. What is the association?

Example 19

challenge
A scatter plot shows 55 points: (1,2),(2,4),(3,5),(4,4),(5,6)(1,2), (2,4), (3,5), (4,4), (5,6). Compute the mean point (xห‰,yห‰)(\bar{x}, \bar{y}).

Example 20

medium
A scatter plot of dose (x)(x) vs. effectiveness (y)(y) rises sharply, then levels off. Is the relationship linear or non-linear?
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