Question

What is the standard error of an estimator?

Answer 1

The standard error of estimate of Y on X is `S_(YX)` = `sqrt` `sum` #`(y -` `haty`)^2`=`sqrt`{`sum`[`(y - #`bary`- `b_(yx)` (x - `barx` )]^2= `sigma_y` `sqrt(1 -`r^2`)`

Explanation:

The regression equation of Y on X is given by `haty` = `bary` + `b_(yx)` (x - `barx` )