VC2M10ST02 Official strand: Statistics

Scatterplots and lines of good fit

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Describe the strength, direction and shape of a numerical relationship and use a fitted line carefully.

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A proposed line of good fit is y = 2x + 1. What does it predict at x = 2?

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Answer: 5

  1. Substitute x = 2.
  2. y = 2×2+1 = 5.
  3. A fitted line predicts a typical value; individual observations may differ.
  4. 2 × 2 = 4.
  5. 4 + 1 = 5.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

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Describe the strength, direction and shape of a numerical relationship and use a fitted line carefully.

Read the official VCAA curriculum description (VC2M10ST02)

These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.

Activities to practise beyond the quiz

  • Supported by the guided activity; selecting an MCQ does not demonstrate this action.
  • Supported by the guided activity; selecting an MCQ does not demonstrate this action.
  1. VC2M10ST02-C01Calculate a prediction and recognise its uncertainty.
  2. VC2M10ST02-C02Construct a scatterplot and choose or draw a line of good fit.
  3. VC2M10ST02-C03Use direction, strength and linearity accurately.
  4. VC2M10ST02-C04Construct and interpret scatterplots with different kinds of association.
  5. VC2M10ST02-C05Apply and explain scatterplots and lines of good fit using read and connect representations.
  6. VC2M10ST02-C06Apply and explain scatterplots and lines of good fit using calculate and explain each step.
  7. VC2M10ST02-C07Apply and explain scatterplots and lines of good fit using build and check a model.

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Subskills

These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.

Descriptor-derived subskills

  1. D01
    Use a fitted lineCalculate a prediction and recognise its uncertainty.
  2. D02
    Describe the patternUse direction, strength and linearity accurately.
  3. D03
    Read and connect representationsApply and explain scatterplots and lines of good fit using read and connect representations.
  4. D04
    Calculate and explain each stepApply and explain scatterplots and lines of good fit using calculate and explain each step.
  5. D05
    Build and check a modelApply and explain scatterplots and lines of good fit using build and check a model.
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