Objectives
Upon successful completion of this lesson, you should be able to:
- Construct a scatterplot using Minitab 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, interpret it, and test for its statistical significance
- Construct a simple linear regression model (i.e., y-intercept and slope) using Minitab, 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.