12.7 - Lesson 12 Summary

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.

 [1] Link ↥ Has Tooltip/Popover Toggleable Visibility