User:Llarq/Sandbox

Original Math

${\hat {\beta }}={\frac {n\sum x_{i}y_{i}-\sum x_{i}\sum y_{i}}{\Delta }}={\frac {\sum (x_{i}-{\bar {x}})(y_{i}-{\bar {y}})}{\sum (x_{i}-{\bar {x}})^{2}}}\,$

${\hat {\alpha }}={\frac {\sum x_{i}^{2}\sum y_{i}-\sum x_{i}\sum x_{i}y_{i}}{\Delta }}={\bar {y}}-{\bar {x}}{\hat {\beta }}$

Versions without means

Slope:

$m={\frac {n\sum xy-\sum x\sum y}{n\sum x^{2}-(\sum x)^{2}}}\,$

Intercept:

$b={\frac {\sum y-m\sum x}{n}}$

Equation of Line:

$y=mx+b\,$

Images

Columbus

This is some lengthy text after the image. When in the course of human events it becomes necessary for one people to dissolve the political bands which have connected them with another...This image should float right by default.

This is some lengthy text after the image. When in the course of human events it becomes necessary for one people to dissolve the political bands which have connected them with another...This image should float right by default.

This is some lengthy text after the image. When in the course of human events it becomes necessary for one people to dissolve the political bands which have connected them with another...This image should float right by default.

This is some lengthy text after the image. When in the course of human events it becomes necessary for one people to dissolve the political bands which have connected them with another...This image should float right by default.

This is some lengthy text after the image. When in the course of human events it becomes necessary for one people to dissolve the political bands which have connected them with another...This image should float right by default.

This is some lengthy text after the image. When in the course of human events it becomes necessary for one people to dissolve the political bands which have connected them with another...This image should float right by default.