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Misconception-proof
Highlights common mistakes and how to fix them quickly.
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Quick overview
This free scatter plots worksheet for grade 8 (8.SP) covers positive, negative, and no correlation with trend line predictions.
Lesson plan snapshot
- Warm-up (3 min): review correlation types with quick examples.
- Model (5 min): solve the worked example together.
- Guided practice (5 min): complete problems 1-3 as a group.
- Independent practice (7 min): finish the remaining problems.
Materials: graph paper, pencil
Learning targets
- Classify correlation as positive, negative, or none.
- Identify outliers that do not fit the pattern.
- Use a trend line to estimate missing values.
Step-by-step approach
- 1Scan the overall pattern: up, down, or scattered.
- 2Check for points far from the main cluster (outliers).
- 3Use the trend line to estimate values at a given x.
- 4Explain what the relationship means in words.
Common mistakes
Mistake
Claiming correlation proves causation.
Try instead
Correlation shows a relationship, not a cause-and-effect rule.
Mistake
Letting an outlier pull the trend line.
Try instead
Draw a line that balances points above and below the main cluster.
Mistake
Reading x and y values backward.
Try instead
Move across for x, then up for y.
Worked example
- Substitute x = 4 into the equation.
- Compute y = 2(4) + 3 = 11.
Related resources
Practice problems
10 problems • 15 min
- 1A trend line is . If y = 8, estimate x.
- 2A scatter plot compares practice days (x) and free throws made (y). What does the point (5, 65) represent?
- 3A scatter plot has points (1, 27), (3, 6), (1, 5), (2, 5), (6, 11), (5, 8). Which point is an outlier?
- 4A scatter plot compares hours studied (x) and test score (y). What does the point (7, 74) represent?
- 5A trend line for a scatter plot is y = x + 4. Predict y when x = 3.
- 6What type of correlation is most likely? Shoe size and favorite color are compared.
- 7A trend line for a scatter plot is y = x + 5. Predict y when x = 5.
- 8A trend line is . If y = 7, estimate x.
- 9A scatter plot compares pages read (x) and quiz score (y). What does the point (6, 80) represent?
- 10A scatter plot has points (4, 12), (6, 17), (3, 12), (1, 8), (5, 15), (1, 27). Which point is an outlier?
Answer key
10 answers- 11) 3
- 22) 5 days, 65 shots
- 33) (1, 27)
- 44) 7 hours, 74 points
- 55) 7
- 66) No correlation
- 77) 10
- 88) 2
- 99) 6 pages, 80 points
- 1010) (1, 27)
Teacher tips
- THave students describe the relationship in words before labeling it.
- TUse a ruler to sketch trend lines through the data cluster.
- TDiscuss why outliers should be checked but not ignored.
Parent tips
- PAsk your child to explain whether the points trend up or down.
- PPractice with real data like study time and quiz scores.
- PEncourage them to estimate, not calculate exact predictions.
Open license
You are free to copy, adapt, and share these materials. No attribution required. Released under Creative Commons CC0 1.0 (public domain).