Beginning with five ordered pairs I made an interpolation, obtaining an a polynomial expression.
I got several other points with equal spacing from the polynomial expression. Are there any commands more specific to doing this operation?
Here is my code.
data = {{0, 0}, {12, 25}, {27, 52}, {33, 45}, {42, 31}};
eq = Fit[data, {1, x, x^2, x^3, x^4}, x];
xPoint = Range[0, 50, 2];
yPoint = Table[eq, {x, xPoint}];
positions = Transpose[{xPoint, yPoint}];
ListPlot[positions]