Big Idea:

Big Idea 2

Visual models illustrate the correlation of bivariate data.

1 week

Evidence of Understanding

  • interpret bivariate data from a scatter plot
    • describe the relationship between variables for the graph of a scatter plot
    • describe how several points in a data set are related
    • interpret a single data point and explain its relationship to the data set
      • identify an outlier in the data set and justify reasoning
    • create a scatter plot and describe the correlation between data points in a set
    • distinguish correlation and causation
  • use the function of best fit to interpret and compare data points of a scatterplot
    • explain what the function of best fit represents for a scatter plot
    • use the function of best fit to interpret or compare points in the scatterplot
    • calculate the function of best fit (linear, quadratic, or exponential) to a given set of data
      • use technology (eg. graphing calculator) to determine the function of best fit based on the entire set of coordinates
      • use algebra (eg. a system of equations for a quadratic or exponential model) to determine the function of best fit based on estimated coordinates of the function
    • determine if and how well a given model fits the data based on the amount of correlation (strong, weak, or no correlation, positive or negative correlation), for a given data set
      • compute and interpret the correlation coefficient
    • use a fitted function to predict and justify other possible data points or solve situations
      • interpolate or extrapolate and describe possible problems for each estimation method
    • use a variety of methods to draw the function of best fit for a data set and justify each approach
      • Examples:  equal number of data points on each side of the function, informally “measure” the distance of points from the function, function passes through the most points in the set, use technology to graph the function

Develop conceptual understanding:

bivariate, scatter plot, function of best fit, correlation, correlation coefficient, causation, interpolate, extrapolate

Supporting terms to communicate:

statistics, data point, data set, independent, dependent, domain, range, random, sample, categorized, summarized, discrete, continuous
Core Resource
A core resource supports multiple days of instruction. COMING SOON!
    Instructional Routine: Contemplate then Calculate
    These tasks are embedded within the instructional routine called Contemplate then Calculate. COMING SOON!
      Instructional Routine: Connecting Representations
      These tasks are embedded within the instructional routine called Connecting Representations.