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Contrast the population regression line and the least squares line. Define and explain the RSE and R2 metrics. Explain the benefit of using RSE in...

  1. Contrast the population regression line and the least squares line.
  2. Define and explain the RSE and R2 metrics.
  3. Explain the benefit of using RSE in terms of units of measurement.
  4. Explain the advantage of using R2 compared with RSE or RSS.
  5. Provide the equations for direct estimation of parameters.
  6. Incorporate multiple predictors into the linear regression model.
  7. Incorporate interaction terms into the linear regression model.
  8. Incorporate polynomial terms into the linear regression model.
  9. Explain how gradient descent works for parameter estimation.
  10. Give the update rules for gradient descent applied to linear regression.
  11. Contrast outliers and high-leverage data-points.
  12. Explain p-values in the context of regression.
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