Lesson 17: Pearson Correlation Coefficient and R-Squared
October 29, 2024
Review:
- Linear Regression
- Pueblo County 2020 voter turnout estimates
Presentation:
- Correlation and R-Squared
- Pearson Correlation Coefficient
- r = SSxy/√(SSxx*SSyy)
- -1 < r < 1
- R-Squared
- Calculate r and then square the result, i.e., =r^2
- 0 < r^2 < 1
- Example
- Use Beer Party
- Sample data: {(2,3), (4,6), (7,9), (11,12)}
- Calculate Pearson Correlation Coefficient (r)
- Calculate R-Squared
- Pearson Correlation Coefficient
Activity:
| x | y |
| 10 | -30 |
| 3 | -2 |
| 5 | -10 |
| 1 | 6 |
| 6 | -14 |
- Use the data above
- Make a scatterplot
- Calculate the Sum of Squares
- Calculate the linear regression equation
- Calculate the Pearson Correlation Coefficient
- Calculate R-Squared
| Femur (cm) | Humerus (cm) |
| 38 | 41 |
| 56 | 63 |
| 59 | 70 |
| 64 | 72 |
| 74 | 84 |
- Use the data above
- Make a scatterplot
- Calculate the Sum of Squares
- Calculate the linear regression equation
- Calculate the Pearson Correlation Coefficient
- Calculate R-Squared
