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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.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.


Resources:


  • Bivariate data
    Pairs of linked numerical observations. Example: a list of heights and weights for each player on a football team.
  • Model
    A mathematical representation (e.g., number, graph, matrix, equation(s), geometric figure) for real-world or mathematical objects, properties, actions, or relationships.

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.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.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.C.7
    Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.*

Same Level Standards:

  • 8.EE.C.7.b
    Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
  • 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.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.