Demonstrate the least squares method

Yihui Xie & Lijia Yu 2017-04-04

This is a simple demonstration of the meaning of least squares in univariate linear regression.

With either the intercept or the slope changing, the lines will be moving in the graph and corresponding residuals will be plotted. We can finally see the best estimate of the intercept and the slope from the residual plot.

par(mar = c(5, 4, 0.5, 0.1))
ani.options(interval = 0.3, nmax = 50)

## default animation: with slope changing

plot of chunk demo-a

## intercept changing
least.squares(ani.type = "intercept")

plot of chunk demo-b

We want to find an estimate for the slope in 50 candidate slopes, so we just compute the RSS one by one.