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Unit 8

Two Variable Statistics

Unit Description

    In this unit, students will learn the distinction between categorical and quantitative data, distinguish between when to use a linear model and when to use an exponential model, use two-way frequency tables for displaying and analyzing categorical data, use and analyze linear functions when modeling situations with a constant rate of change per unit interval, use and analyze exponential functions when modeling situations with a constant percent rate per unit interval, use mathematical models to make predictions, and know that correlation does not imply causation.


Unit Skills 

By the end of this unit, students will be able to:
  1. Distinguish between categorical and quantitative data
  2. Summarize categorical data by constructing a two-way frequency table
  3. State a hypothesis that can be addressed by the collected data.
  4. Calculate and interpret joint frequencies, marginal frequencies, and conditional frequencies based on a two way table.
  5. Recognize possible associations and trends in categorical data by looking at a two way table.
  6. Create a scatter plot when given two quantitative variables
  7. Determine the type of function (linear or exponential) that best fits the data
  8. Recognize linear and exponential functions numerically, graphically, algebraically, and descriptively.
  9. Fit an appropriate function to data
  10. Interpret the constants and coefficients of a calculated function in context of the problem
  11. Use the fitted function to make predictions and solve problems
  12. Calculate the residuals for each data point that has been fitted to a function
  13. Create and analyze a residual plot
  14. Predict the strength and direction(+/-) of the correlation coefficient from a scatter plot
  15. Utilize technology to compute and interpret the correlation coefficient
  16. Distinguish between correlation and causation of independent and dependent variables in a given context
  17. Identify possible extraneous variables in a given context

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