Free Printable WorksheetMathGrade 8Math Curriculum8.SP.A.2

8.156 Fitting a Line of Best Fit Informally Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.156 Fitting a Line of Best Fit Informally. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.156 Fitting a Line of Best Fit Informally - Which drawn line is the most reasonable line of best fit for the scatter plot? (CCSS 8.SP.A.2; CA 8.SP.A.2; MA 8.SP.A.2)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 8

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 8.156 Fitting a Line of Best Fit Informally skill assessments:

Problem 1Difficulty: Hard
Which statement best describes the model y = 2.25x - 1 compared with the data at high x-values? The ordered pairs are (8, 12), (12, 20), (16, 25), (20, 35), and (24, 39).
AIt stays above most of the trend.
BIt stays below most of the trend.
CIt becomes non-linear.
DIt lands on each point exactly.
Solution & Explanation:Compared with a better fit like y = 1.75x - 1, the line y = 2.25x - 1 stays too high on the right side of the trend. It overestimates the data for larger x-values.
Problem 2Difficulty: Hard
For the data shown, what happens with the line y = -3x + 48 at the right side of the trend? Points in the scatter plot: (4, 37), (6, 33), (8, 29), (10, 23), (12, 17).
AThe line gives values that are too large.
BThe line switches direction.
CThe line matches every point perfectly.
DThe line gives values that are too small.
Solution & Explanation:Compared with a better fit like y = -2.5x + 48, the line y = -3x + 48 stays too low on the right side of the trend. It underestimates the data for larger x-values.
Problem 3Difficulty: Hard
Look at the trend and the model y = 2.75x + 5. Which statement is most accurate for greater x-values? Use this table: x -> 0, 4, 8, 12, 16, 20; y -> 4, 15, 25, 31, 41, 51.
AIt predicts the same as every data point.
BIt predicts values above the trend.
CIt predicts values below the trend.
DIt becomes a vertical line.
Solution & Explanation:Compared with a better fit like y = 2.25x + 5, the line y = 2.75x + 5 stays too high on the right side of the trend. It overestimates the data for larger x-values.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 8 Math students. It aligns with educational standard 8.SP.A.2 (Primary standard selected for prompt fields: CCSS 8.SP.A.2. Skill statement: Which drawn line is the most reasonable line of best fit for the scatter plot? Associated standards listed with this skill: CCSS 8.SP.A.2; CA 8.SP.A.2; MA 8.SP.A.2. Use this embedded wording as the best available supporting standard description for this workflow.).

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