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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.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.

Resources:


  • Linear association
    Two variables have a linear association if a scatter plot of the data can be well approximated by a line.
  • Model
    A mathematical representation (e.g., number, graph, matrix, equation(s), geometric figure) for real-world or mathematical objects, properties, actions, or relationships.
  • 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:

No Predecessor Standards found.

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.7
    Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.*
  • AI.S-ID.C.8
    Compute (using technology) and interpret the correlation coefficient of a linear fit.*
  • 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.7
    Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.*
  • MI.S-ID.C.8
    Compute (using technology) and interpret the correlation coefficient of a linear fit.*

Same Level Standards:

  • 8.F.B.4
    Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
  • 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.
  • 8.SP.A.3
    Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.