Exam 01 review

Feb 17, 2025

Today’s lab

• Work through Exercises 8 - 16 on

• You can push your work to your AE 07 repo.

  • There is no lab assignment for this week.

Formulas you’re expected to know

• Sum of Square Residuals: \(SSR = \sum_{i=1}^{n}(y_i - \hat{y}_i)^2\)

• Regression standard error: \(\hat{\sigma}_{\epsilon} = \sqrt{\frac{SSR}{n - p - 1}}\)

• Root Mean Square Error: \(RMSE = \sqrt{\frac{SSR}{n}}\)

• Test statistic for \(\beta_j\): \(= \frac{\hat{\beta}_j - Null}{SE(\hat{\beta}_j)}\)

• Confidence interval for coefficient: \(\hat{\beta}_j \pm t^* \times SE(\hat{\beta}_j)\)

• \(R^2 = \frac{SSM}{SST} = 1 - \frac{SSR}{SST}\)