12.7 - Lesson 12 Summary

Objectives

Upon successful completion of this lesson, you should be able to:

  • Construct a scatterplot using Minitab Express and interpret it
  • Identify the explanatory and response variables in a given scenario
  • Identify situations in which correlation or regression analyses are appropriate
  • Compute Pearson r using Minitab Express, interpret it, and test for its statistical significance
  • Construct a simple linear regression model (i.e., y-intercept and slope) using Minitab Express, interpret it, and test for its statistical significance
  • Compute and interpret a residual given a simple linear regression model
  • Compute and interpret the coefficient of determination (R2)
  • Explain how outliers can influence correlation and regression analyses
  • Explain why extrapolation is inappropriate

In this lesson you learned how to test for the statistical significance of Pearson's \(r\) and the slope of a simple linear regression line using the \(t\) distribution to approximate the sampling distribution. You were also introduced to the coefficient of determination.