Exploring WNBA Data
In this chapter, you will work with a matrix-vector model for team strength in the Women's National Basketball Association (WNBA) at the conclusion of the 2017 season. These team strengths can be used to predict who will win a match between any two teams, for example, using machine learning.
The WNBA has 12 teams, so your Massey Matrix \(M\) will be 12x12, and will initially be loaded as a data frame. The vector with the point differentials for each team will be a vector with 12 elements.
This exercise is part of the course
Linear Algebra for Data Science in R
Exercise instructions
- The Massey matrix
M
is loaded for you. PrintM
. - The strength vector
f
is loaded for you. Printf
. - Using the
sum()
command, show that the sum of the first column ofM
is zero (this is true of every column). - Find the sum of the vector
f
. Why should this be zero as well?
Hands-on interactive exercise
Have a go at this exercise by completing this sample code.
# Print the Massey Matrix M
___(___)
# Print the vector of point differentials f
___
# Find the sum of the first column of M
___(___)
# Find the sum of the vector f
sum(___)