## Archive for the ‘Mathematical Statistics’ Category

### Further Calculator Statistics

Tuesday, 28 April 2009

This is further to my post on calculator statistics.

If the calculator also stores the six values $\Sigma x^3$, $\Sigma x^4$ and $\Sigma x^2y$, then it can calculate the linear regression to a parabola.

I find it fascinating that calculators can perform some quite complex statistical analysis without storing the whole data set. Rather, they store just six values: $n$, $\Sigma x$, $\Sigma x^2$ [meaning $\sum{(x^2)}$, not $(\sum{x})^2$], $\Sigma y$, $\Sigma y^2$ and $\Sigma xy$.