Access Point #: MAFS.912.S-ID.3.AP.8a (Archived Access Point)


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Identify the correlation coefficient (r) of a linear fit.

Clarifications:

Essential Understandings

Concrete:

  • Identify which representation more likely represents a coefficient of 1, -1, and 0.
  • Match the words strong with (correlation coefficient “r”) between 1 and -1, and weak with the number 0 – e.g., sorting cards on a number line template (with the words strong written under 1 and -1 and weak under 0) if the correlation coefficient is closer to 1 (-1) the data has a strong correlation to the graph and x and y and if closer to 0 it is weak.

    Examples of scatter plots for showing strong positive and negative, moderate positive and negative, weak positive and negative, and no correlation.
Representation:
  • Understand that “r” represents the correlation coefficient.
  • Understand that the closer “r” is to 1 (-1) the stronger the data fits the relationship of x and y.
  • Understand that the closer “r” is to 0 the weaker the data fits the relationship of x and y.
  • Understand the following concepts and vocabulary: linear model, correlation coefficient, linear relationship and linear fit.

Number: MAFS.912.S-ID.3.AP.8a Category: Access Points
Date Adopted or Revised: 07/14 Cluster: Interpret linear models. (Algebra 1 - Major Cluster)

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

Name Description
MAFS.912.S-ID.3.8: Compute (using technology) and interpret the correlation coefficient of a linear fit.



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