Statistics

Virginia SOL A.ST.1

Apply the data cycle to represent bivariate data in scatterplots and determine the curve of best fit using linear and quadratic functions.

What students need to be able to do

  • Formulate investigative questions that require the collection or acquisition of bivariate data.
  • Determine what variables could be used to explain a given contextual problem or situation or answer investigative questions.
  • Determine an appropriate method to collect a representative sample, which could include a simple random sample, to answer an investigative question.
  • Given a table of ordered pairs or a scatterplot representing no more than 30 data points, use technology to determine whether a linear or quadratic function represents the relationship and find the equation of the curve of best fit.
  • Use linear and quadratic regression methods to write a function representing the data and describe the strengths and weaknesses of the model.
  • Use a linear model to predict outcomes and evaluate the strength and validity of these predictions using technology.
  • Investigate and explain the meaning of the rate of change (slope) and y-intercept (constant term) of a linear model in context.
  • Analyze relationships between two quantitative variables revealed in a scatterplot.
  • Make conclusions based on the analysis of a set of bivariate data and communicate the results.