SeedRandom[4]; data = RandomReal[5, {15}];
f = Interpolation[data, Method -> "Spline"];
g = Interpolation[data, Method -> "Hermite"];
drawfun[f_, t_] :=
Plot[f[x], {x, 1, 15}, Mesh -> {Range[15]}, MeshStyle -> Red,
AxesOrigin -> {0, 0}, PlotLabel -> t];
SeedRandom[5]; data2 =
Flatten[Table[{x, y, RandomReal[]}, {x, 7}, {y, 7}], 1];
f2 = Interpolation[data2, Method -> "Spline"];
g2 = Interpolation[data2, Method -> "Hermite"];
drawfun2[f_, t_] :=
Plot3D[f[x, y], {x, 1, 7}, {y, 1, 7}, Mesh -> None, PlotPoints -> 30,
PlotLabel -> t,
PlotStyle -> Directive[Orange, Specularity[White, 50]]]
GraphicsGrid[{{drawfun[f, "Spline method"],
drawfun[g, "Hermite method"]}, {drawfun2[f2, "Spline method"],
drawfun2[g2, "Hermite method"]}}, ImageSize -> {500, 500}]