The graph below is currently plots a point at each value of x that is an integer between -10 and 10 and connects them.
What I'd like to do instead is more like this:

First, I'd like to add a red, light line at x = 0.
Second, I'd like to unconnect the points and have them be presented as just a scatter plot.
Third, I'd like to add a known trend line for the 10 points that are from x < 0 and another known trend line for the points that are from x > 0.
Specifically, suppose the trend line for x < 0 is y = -0.002x + 0.003 and the trend line for x > 0 is y = 0.002x + 0.003
(Those are not the actual values.)
Here is the MWE:
\documentclass{beamer}
\usepackage{graphicx}
\usepackage{filecontents}
\usepackage{pgfplots}
\usepackage{tikz}
\usetikzlibrary{arrows,shapes,positioning,fit,shapes.misc,matrix,decorations.text,shapes.geometric}
\begin{document}
\begin{filecontents}{drc1.dat}
-10 0.0635084
-9 0.037563
-8 0.0460021
-7 -0.0020816
-6 0.0224089
-5 0.0303281
-4 0.0101534
-3 0.0214043
-2 0.0278317
-1 -0.0336859
1 0.0866865
2 0.0599577
3 -0.0087226
4 -0.0334984
5 -0.0582118
6 -0.0628758
7 -0.0703382
8 -0.0815326
9 -0.0941923
10 -0.055196
\end{filecontents}
\frame
{
\frametitle{Frame Title}
\centering
\begin{tikzpicture}
\begin{axis}
[
axis x line = bottom,
axis y line = left,
width = 1.0\textwidth,
height = 0.60\textwidth,
title = Picture Title,
xmax = 10.2,
xmin = -10.2,
xshift = -6cm,
ymax = 1.05,
ymin = -1.05,
xtick = {-10, -5, 0, 5, 10},
xticklabels= {-10, -5, 0, 5, 10},
ytick = {-1, -0.5, 0, 0.5, 1},
yticklabels= {-1, -0.5, 0, 0.5, 1}
]
\addplot file {drc1.dat};
\end{axis}
\end{tikzpicture}
}
\end{document}
