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Write a Linear Model From a Scatter Plot

Written by Adi Ackerman, Head Teacher

"Write a Linear Model From a Scatter Plot" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.SP.A.3. A 7th grader who is already steady on data & graphing can use it too, and an older student can use it as a short review.

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8th grade math worksheet: write equations from two circled points for apple trees, swimmers, a candle and cricket chirps. Answer key included. Part of our linear models data & graphing collection. Aligned to Common Core standards.

How do I use this worksheet?

Use these after scatter plots and lines of best fit. Start with interpreting slope and intercept, then predictions, then writing models.

What students will practice

  • Students will read two points on a line of best fit and find its slope.
  • Students will write the equation of the line and make a prediction with it.
  • Students will explain what the slope and y intercept mean in each situation.


Curriculum Links

Common Core State Standards

Statistics and Probability · 8th Grade

8.SP.A.3

Standard: Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.

View all 8.SP.A.3 worksheets →

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FAQ

How do I use this linear models worksheet?

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Use these after scatter plots and lines of best fit. Start with interpreting slope and intercept, then predictions, then writing models.

What does this worksheet teach?

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Write equations from two circled points for apple trees, swimmers, a candle and cricket chirps. The directions on the page read: Write the two circled points on each line. Use them to find its equation, and show your work. Then make the prediction and say what the slope and the y-intercept mean. An answer key is included.

Can I use this linear models worksheet for homeschool or classroom?

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Yes, both. We made it for 8th grade data & graphing, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

What does the slope of a linear model tell you?

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It tells how much y changes for each one unit increase in x, in the units of the problem. For a model of maple trees, y = 1.5x + 3, each year adds about 1.5 feet of height.

When does a prediction from a linear model not make sense?

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When x is far outside the data or the answer is impossible in the situation, such as a score above 100. Use a Linear Model to Make Predictions asks students to circle yes or no for each prediction.

How do you write the equation of a line of best fit?

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Pick two points on the line, find the slope from them, then solve for the y-intercept. Write a Linear Model From a Scatter Plot circles two points on each line to start.

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Worksheet Details

Grade8th Grade
SubjectMath
TopicData & Graphing
Standard8.SP.A.3
Pages2 pages
DifficultyMedium

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