### Regression: Predicting and Relating Quantitative Features (Advanced Data Analysis from an Elementary Point of View)

Statistics is the science which studies methods for learning from imperfect
data. Regression is a statistical model of functional relationships between
variables. Getting relationships right means being able to predict well. The
least-squares optimal prediction is the expectation value; the conditional
expectation function is the regression function. The regression function must
be estimated from data; the bias-variance trade-off controls this
estimation. Ordinary least squares revisited as a smoothing method. Other
linear smoothers: nearest-neighbor averaging, kernel-weighted averaging.

*Readings*: Notes,
chapter 1; Faraway, chapter 1, through page 17.

Advanced Data Analysis from an Elementary Point of View

Posted at January 17, 2012 10:30 | permanent link