Calculus, Linear Algebra, Probabilities, Python Programming
Syllabus
Introduction to R
Linear Regression with One Predictor
Inference in Regression and Correlation
Diagnostics and Remedial Measures
Simultaneous Inferences
Matrix Approach to Simple Linear Regression
Multiple Regression
Models for Quantitative and Qualitative Predictors
Collinearity
Model Selection and Validation
Weighted Least Squares; Robust Regression
Quantile Regression
Learning Outcomes
Students will develop an in-depth understanding of the linear regression model.
Students will have learned alternative regression model-building strategies, depending on the number of available predictors.
Students will gain hands-on experience in classic (e.g. exploratory analyses, diagnostic checks) and modern topics (e.g. cross-validation, bootstrap, quantile regression, penalized estimation) by analyzing real and simulated datasets using R.
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