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

8.160 Comparing Two Linear Models for Fit and Reasonableness Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.160 Comparing Two Linear Models for Fit and Reasonableness. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.160 Comparing Two Linear Models for Fit and Reasonableness - Which model is the better fit for the data, based on the scatter plot and the reasonableness of predictions? (CCSS 8.SP.A.2; CCSS 8.SP.A.3; 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 8.160 Comparing Two Linear Models for Fit and Reasonableness skill assessments:

Problem 1Difficulty: Hard

A scatter plot contains the points (1, 146.5), (2, 138), (4, 125), (7, 111.5), (11, 88.5), (16, 63). Model A passes through (0, 145) and (2, 131). Model B passes through (0, 150) and (2, 138). Which model is a better fit for the data?

AModel A, because its predicted values stay closer to the data overall.

BModel B, because its predicted values stay closer to the data overall.

CModel A, because the better model only needs to pass through one point exactly.

DModel B, because the line with the larger y-intercept is always the best fit.

Solution & Explanation:The better choice is Model B. Its predictions are closer overall, with a total absolute residual of 20.5 instead of 89.5 for Model A.

Problem 2Difficulty: Hard

A scatter plot contains the points (0, 86), (2, 79), (4, 70), (6, 63), (8, 52), (10, 46). Model A passes through (0, 84) and (2, 73). Model B passes through (0, 85) and (2, 77). Which model is a better fit for the data?

AModel A, because its predicted values stay closer to the data overall.

BModel B, because its predicted values stay closer to the data overall.

CModel A, because the better model only needs to pass through one point exactly.

DModel B, because the line with the larger y-intercept is always the best fit.

Solution & Explanation:The better choice is Model B. Its predictions are closer overall, with a total absolute residual of 8 instead of 57 for Model A.

Problem 3Difficulty: Hard

The data points are (1, 32.5), (2, 40), (4, 54), (7, 67.5), (11, 92.5), (16, 116). Model A passes through (0, 34) and (2, 42). Model B passes through (0, 31) and (2, 41). Which model is a better fit for the data?

AModel A, because its predicted values stay closer to the data overall.

BModel B, because its predicted values stay closer to the data overall.

CModel A, because the better model only needs to pass through one point exactly.

DModel B, because the line with the larger y-intercept is always the best fit.

Solution & Explanation:Model B is better because its total absolute residual is 20.5, compared with 49.5 for Model A. Smaller residuals mean the predictions stay closer to the data.

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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 model is the better fit for the data, based on the scatter plot and the reasonableness of predictions? Associated standards listed with this skill: CCSS 8.SP.A.2; CCSS 8.SP.A.3; CA 8.SP.A.2; MA 8.SP.A.2. Use this embedded wording as the best available supporting standard description for this workflow.).