x=[0 0.025 0.05 0.075 0.1 0.125 0.15 0.175 0.2 0.225 0.25 0.275 0.3 0.325 0.35 0.375 0.4 0.425 0.45 0.475 0.5 0.525 0.55 0.575 0.6 0.625 0.65 0.675 0.7 0.725 0.75 0.775 0.8 0.825 0.85 0.875 0.9 0.925 0.95 0.975 1 ] ;
y=[1.422 1.427 1.431 1.396 1.396 1.377 1.377 1.358 1.357 1.338 1.338 1.319 1.318 1.301 1.301 1.288 1.287 1.278 1.278 1.274 1.274 1.275 1.276 1.282 1.282 1.294 1.294 1.309 1.310 1.328 1.328 1.348 1.348 1.367 1.367 1.386 1.386 1.413 1.413 1.039 1.025] ;
sp = spline(x, [0 y 0]);
xq = linspace(min(x), max(x), 25);
yq = ppval(sp, xq);
plot(x, y, 'g', xq, yq, 'r')
If you increase the 25 to make the curve more accurate then although it will be smoother than the raw data, it will still show a lot of bumps.