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Mathematics > Grade 8 > Statistics and Probability
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Mathematics | Grade : 8

Domain - Statistics and Probability

Cluster - Investigate patterns of association in bivariate data.

[8.SP.A.1] - Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.

Resources:


  • Bivariate data
    Pairs of linked numerical observations. Example: a list of heights and weights for each player on a football team.
  • Linear association
    Two variables have a linear association if a scatter plot of the data can be well approximated by a line.
  • Non-linear association
    The relationship between two variables is nonlinear if the change in the second is not simply proportional to the change in the first, independent of the value of the first variable.
  • Scatter plot
    A graph in the coordinate plane representing a set of bivariate data. For example, the heights and weights of a group of people could be displayed on a scatter plot.

Predecessor Standards:

  • 6.NS.C.8
    Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

Successor Standards:

  • AI.S-ID.B.6.a
    Fit a linear function to the data and use the fitted function to solve problems in the context of the data. Use functions fitted to data or choose a function suggested by the context (emphasize linear and exponential models).
  • AI.S-ID.B.6.b
    Informally assess the fit of a function by plotting and analyzing residuals.*
  • AI.S-ID.B.6.c
    Fit a linear function for a scatter plot that suggests a linear association.*
  • AI.S-ID.C.9
    Distinguish between correlation and causation.
  • MI.S-ID.B.6.a
    Fit a linear function to the data and use the fitted function to solve problems in the context of the data. Use given functions fitted to data or choose a function suggested by the context. Emphasize linear and exponential models.*
  • MI.S-ID.B.6.b
    Informally assess the fit of a function by plotting and analyzing residuals.*
  • MI.S-ID.B.6.c
    Fit a linear function for a scatter plot that suggests a linear association.*
  • MI.S-ID.C.9
    Distinguish between correlation and causation.*

Same Level Standards:

  • 8.SP.A.2
    Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.