Free Printable WorksheetMathAlgebra IMath CurriculumS-ID.5–9

ALG1.128 Technology for Regression and Prediction Answer Key Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.128 Technology for Regression and Prediction Answer Key. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.128 Technology for Regression and Prediction - Select the option that shows how to use technology to compute regression equations and to make predictions; Select the statement that correctly interprets predictions and explain why extrapolation can be risky. (CCSS: S-ID.5–9; TEKS: §111.39(b)(3) and technology use; VA SOL: A.ST.1 d–i; FL B.E.S.T.: MA.912.DP.1.1 (displays) with Algebra 1 modeling links (AR.2.5); NY-NGLS: AI-S.ID.5–9; CA CCSSM: S-ID.5–9; MA 2017: HS.S-ID.5–9; DoDEA CCRSM; NAEP: Algebra—modeling with data; NCTM P2A: Practices 4, 5.)

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

Algebra I

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 ALG1.128 Technology for Regression and Prediction Answer Key skill assessments:

Problem 1Difficulty: Mastery
A data set has x-values 1 through 6. Technology gives y = 2.5x + 4 with r = 0.93. A student predicts y = 129 at x = 50. Which statement is best?
AThe calculation is correct, but the prediction is risky because x = 50 is far outside the data range.
BThe prediction is safe because r = 0.93 makes all extrapolations reliable.
CThe prediction is interpolation because 50 is greater than 6.
DThe calculation is wrong because 2.5(50) + 4 = 93.
Solution & Explanation:The model gives y = 2.5(50) + 4 = 129. However, x = 50 is far beyond the observed range 1 to 6, so the prediction is risky extrapolation.
Problem 2Difficulty: Mastery
Which answer gives both a correct technology setup and a correct interpretation for predicting downloads from years since launch?
AUse LinReg with downloads as x and years since launch as y; a prediction for year 8 is automatically causation.
BUse any regression command; a prediction for year 8 is extrapolation even if the data include years 0 through 10.
CUse LinReg with years since launch as x and downloads as y; a prediction for year 8 is interpolation if the data include years 0 through 10.
DUse only the last data point; technology output is not needed for trend prediction.
Solution & Explanation:The predictor is years since launch, so it should be x, and downloads should be y. If the data include years 0 through 10, year 8 is within the range and is interpolation.
Problem 3Difficulty: Mastery
A student chooses a quadratic model only because it has R2 = 1 for four points, then uses it far beyond the data where it predicts negative ticket sales. What is the best critique?
ANegative ticket sales are reasonable whenever technology predicts them.
BR2 = 1 means every future prediction must be correct.
CA perfect fit to a small observed set does not guarantee reasonable extrapolation outside the data range.
DQuadratic models can never be used for prediction.
Solution & Explanation:A model can fit the observed data exactly and still behave unrealistically outside the observed range. Context and extrapolation risk still matter.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Algebra I Math students. It aligns with educational standard S-ID.5–9 (Primary standard selected for prompt fields in this prompt cell: CCSS S-ID.5–9. Skill statement in this prompt cell: Select the option that shows how to use technology to compute regression equations and to make predictions; Select the statement that correctly interprets predictions and explain why extrapolation can be risky. Associated standards listed with this skill in the curriculum source: CCSS: S-ID.5–9; TEKS: §111.39(b)(3) and technology use; VA SOL: A.ST.1 d–i; FL B.E.S.T.: MA.912.DP.1.1 (displays) with Algebra 1 modeling links (AR.2.5); NY-NGLS: AI-S.ID.5–9; CA CCSSM: S-ID.5–9; MA 2017: HS.S-ID.5–9; DoDEA CCRSM; NAEP: Algebra—modeling with data; NCTM P2A: Practices 4, 5. Use this prompt-provided wording as the supporting standard description for this workflow.).

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