Lecture 4: Variables as vectors - Bio723-class/Bio723-lecture GitHub Wiki

Learning goals checklist for this class session

• Learn and build a geometric understanding of basic vector operations -- vector addition, subtraction, linear combinations, dot product, vector projection
• Learn the vector space geometry of the mean, variance, standard deviation, covariance, correlation, and bviaraite regression

Slides

• Data as vectors

In-class material

• Bio 723 Workbook, Vector Algebra

Assignment

Assignment Submission: Be sure to submit your assignment via Sakai, as an R Markdown file and the knit HTML document produced by your markdown file.

• Assignment 03, due 17 February 2021 by beginning of class.

  -- You can download a template R Markdown document for assignment at: homework-template.Rmd

Readings and Videos

• Please watch these two videos by Grant Sanderson:

  • Essence of linear algebra, preview
  • Vectors, what even are they?

• Wickens, T. D. The Geometry of multivariate statistics. -- Chapters 1-3.