Statistics 151A: Linear Models

UC Berkeley, Spring 2024

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Instructors

Instructor: Ryan Giordano
Ryan Giordano
Office: 389 Evans Hall
Office hours: 12-2pm Mondays
rgiordano@berkeley.edu
pronouns: He / him

GSI: Dohyeong Ki
Dohyoeng Ki
Office: TBD Evans Hall
Office hours: 3:30pm-5:30pm Thursdays (subject to change)
dohyeong_ki@berkeley.edu
pronouns: He / him

Important

Day-to-day announcements can be found in BCourses. Discussions can be found in ED. (See links above.)

Schedule

Lectures will be held Jan 16 2024 – May 03 2024 on Tuesday and Thursday, 9:30 am – 10:59 am, in Etcheverry 3108.

Labs will be held on Wednesdays from 9:00 am – 11:00 am and 1:00pm – 3:00 pm in Evans 344.

(Link to official course calendar.)

The following subject schedule is tentative and subject to change.

Week 1

Jan 16: Lecture 1 Class goals and organization.
Jan 18: Lecture 2 Simple regression as EDA, prediction, and inference

Week 2

Jan 23: Lecture 3 Multilinear regression as loss minimization
Jan 25: Lecture 4 Multilinear regression as projection

Week 3

Jan 30: Lecture 5 Different ways to draw lines through points
Feb 1: Lecture 6 Transformations of regressors: Some payoffs from the linear algebra perspective

Week 4

Feb 6: Lecture 7 Univariate statistics and limit theorems
Feb 8: Lecture 8 Vector and matrix-valued statistics and limit theorems

Week 5

Feb 13: Lecture 9 The Gaussian assumption
Feb 15: Lecture 10 Simulations and the law of large numbers

Week 6

Feb 20: Lecture 11 Consistency of OLS and the residual variance under the Gaussian assumptions
Feb 22: Lecture 12 Linear algebra review and Quiz 2 retake

Week 7

Feb 27: Lecture 13 Unbiased estimates of the residual variance
Feb 29: Lecture 14 Sampling variability of the coefficients

Week 8

Mar 5: Lecture 15 Implications of Gaussianity (and deviations from it)
Mar 7: Lecture 16 Heteroskedasticity and the sandwich covariance matrix

Week 9

Mar 12: Lecture 17 Interpreting the coefficients
Mar 14: Lecture 18 Inference on the coefficients: Gaussian versus asymptotic results

Week 10

Mar 19: Lecture 19 The role of the regressor covariance in uncertainty estimates
Mar 21: Lecture 20 Hypothesis testing and confidence intervals

Week 11

Mar 25: Holiday Spring break

Week 12

Apr 2: Lecture 21 Variable selection and the F-test
Apr 4: Lecture 22 Cross validation and information criteria

Week 13

Apr 9: Lecture 23 Ridge regression
Apr 11: Lecture 24 LASSO and variable selection

Week 14

Apr 16: Lecture 25 Conformal prediction
Apr 18: Lecture 26 Influence and outliers

Week 15

Apr 23: Lecture 27 Project consultation
Apr 25: Lecture 28 Project consultation
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