Learning objectives

• Interpret data sets as collections of vectors
• Work with linear combinations of vectors in algebraic and geometric forms
• Interpret systems of linear equations in the language of vectors
• Explain inconsistency of linear equations in geometric language
• Express linear combinations of vectors using matrix multiplication

Before class

• Make a properly labeled scatterplot (with a title) of the Keeling CO2 data
• Read introduction to linear models
• Read chapters 1, 2 and 3 of the Linear Algebra Reader
• Consult the main points of the lesson.

In class

• Answer questions about CO2 project
• Discuss residuals for a data based model, using StartR
• Begin linear algebra