If you don't have an equation of your dataset, then it will be simpler to use the following methods
spline()
rng(0)
x = 1:10; % x-values
y = rand(size(x)); % random y-values
xv = linspace(min(x), max(x), 100); % more points on x-axis to make a smooth curve
yv = spline(x, y, xv); % interpolation using spline
plot(x, y, 'ro-', xv, yv, 'b-')
pchip()
rng(0)
x = 1:10; % x-values
y = rand(size(x)); % random y-values
xv = linspace(min(x), max(x), 100); % more points on x-axis to make a smooth curve
yv = pchip(x, y, xv); % interpolation using pchip
plot(x, y, 'ro-', xv, yv, 'b-')
makima()
rng(0)
x = 1:10; % x-values
y = rand(size(x)); % random y-values
xv = linspace(min(x), max(x), 100); % more points on x-axis to make a smooth curve
yv = makima(x, y, xv); % interpolation using makima
plot(x, y, 'ro-', xv, yv, 'b-')
