statistical tool
Factsheet
I think you got confused by calculating like this:
We have known that
and
Thus
If but not
, we can't compute
, let alone
.
But we don't have to use the Laplace operator. To avoid confusion I'd like to remind that is wrt.
, while
is wrt.
. Actually
requires
is
. If we don't know this we have
which needs only
.
Use \bar for short lines and \overline for longer lines.
A separate comment: In fine math typography, a \cdot is generally preferred over * to denote multiplication.
\documentclass[11pt]{report}
\usepackage[utf8]{inputenc}
\usepackage{mathtools,array}
\begin{document}
\begin{align*}
C_f
&= 100 - 100\cdot\frac{\overline{R_{j(pr)}}}{\overline{R_{j(obs)}}} \\
&= 100 - 100\cdot\frac{\bar{R}_{j(pr)}}{\bar{R}_{j(obs)}}
\end{align*}
\end{document}
Like this? Then you just messed around with the curly brackets. (Edited the over-frac-issue)
\documentclass[11pt]{report}
\usepackage[utf8]{inputenc}
\usepackage{mathtools,array,dcolumn}
\begin{document}
\begin{equation}
Cf = 100 - (100* \frac{\bar{R}_{j(pr)}}{\bar{R}_{j(obs)}})
\end{equation}
\end{document}
When using the bar-command the following brackets include the barred content. Because you just wanted the 'R' to be barred - only include the R into the brackets.
Here is a command \xoverline[width percent]{symb} that will do it. Note that it will not scale inside sub or superscripts. If you need that, everthing has to go through a \mathchoice resulting in a lot more complex code.
\documentclass{article}
\usepackage{amsmath,amssymb}
\makeatletter
\newsavebox\myboxA
\newsavebox\myboxB
\newlength\mylenA
\newcommand*\xoverline[2][0.75]{%
\sbox{\myboxA}{$\m@th#2$}%
\setbox\myboxB\null% Phantom box
\ht\myboxB=\ht\myboxA%
\dp\myboxB=\dp\myboxA%
\wd\myboxB=#1\wd\myboxA% Scale phantom
\sbox\myboxB{$\m@th\overline{\copy\myboxB}$}% Overlined phantom
\setlength\mylenA{\the\wd\myboxA}% calc width diff
\addtolength\mylenA{-\the\wd\myboxB}%
\ifdim\wd\myboxB<\wd\myboxA%
\rlap{\hskip 0.5\mylenA\usebox\myboxB}{\usebox\myboxA}%
\else
\hskip -0.5\mylenA\rlap{\usebox\myboxA}{\hskip 0.5\mylenA\usebox\myboxB}%
\fi}
\makeatother
\begin{document}
$|\xoverline{W}|~~
|\xoverline{i}|~~
|\xoverline[3.0]{i}|$
\bigskip
$\bar{\mathbb{R}}~~\overline{\mathbb{R}}~~\xoverline{\mathbb{R}}$
\end{document}
I usually define a command \overbar, which reduced the width of \overline by 1.5mu on each side.
\documentclass{article}
\usepackage{amsfonts}
\newcommand{\overbar}[1]{\mkern 1.5mu\overline{\mkern-1.5mu#1\mkern-1.5mu}\mkern 1.5mu}
\begin{document}
$\bar{\mathbb{R}}$ $\overbar{\mathbb{R}}$ $\overline{\mathbb{R}}$
\end{document}