1. Do a little research in the
library or on the Internet and find out how the least squares method came
about, and in what ways it has been used.
Answer this question with a lively little
survey of Gauss and Lagendre
using it in astronomy, almost a hundred years before the correlation
coefficient was devised by Pearson and Galton.
Also deal with the question of the intimate relationship between
regression and linear algebra/matrix algebra and the relatively late
development of that branch of mathematics (1858 or so). Refer to the fun little
mathematics history website by Oliver Knill at Harvard. Schlomo
Philippe Marie Binet,