What I want to do, Is have an image of a sloped 3d plane that a can move with sliders, I want to be able to adjust the amount of slope that the plane has, the height of it, and finaly, maybe rotate it by having sliders named to the latter.
I want to get the value of these sliders after I have the shape of the plane that I wanted, and then use these values to calculate a "would be" sum of squares, I am having trouble understanding the documentation for this, I cant seem to make even simple changes work even though I understand how a value would effect the shape of a plane.
So something like this, how exactly would I have the plane move as I adjusted the sliders, so for example a slider labeled intercept would raise or lower the intercept of the plane.
x0 := 0;
y0 := 0;
z0 := 0;
Manipulate[ F[x_, y_] := (a+SLIDERVALUE1 x0 + b+SLIDERVALUE2, y0 + c+SLIDERVALUE3 z0 - a x - b y)/c;
Plot3D[F[x, y], {x, -2, 5}, {y, -2, 10}, AxesLabel -> {x, y, z}] ]