Logistic curve

y={0.04,0.35,1.05,1.9,1.98,1.97,1.99,1.999};
f[t_]:=(x0/((1-(x0/k))E^(-r t)+(x0/k)));

MEMS accelerometers

rawData={{-11718.`,966306.`,31738.`},{-14648.`,938278.4`,209862.4`},{-17577.8`,891403.8`,365428.2`},{-21386.4`,815134.2`,519431.4`},{-26171.4`,710251.8`,662986.2`},{-31151.4`,583006.`,778122.8`},{-37109.`,440330.4`,874997.`},{-42675.2`,277831.`,941500.8`},{-47851.`,112108.8`,983199.8`},{-53124.4`,-58593.`,993258.6`},{271343.5714285714`,488907.4285714286`,780340.7142857143`},{494627.`,249413.`,780759.`},{566795.2`,-59472.2`,779294.`},{474412.4`,-366600.4`,775680.8`},{239842.6`,-586619.2`,771286.8`},{-80956.4`,-656833.6`,766696.6`},{-378986.3333333333`,-561766.`,763750.5`},{-597068.4`,-326463.8`,763278.6`},{-668943.`,-8984.2`,765623.`},{-573533.4`,296189.8`,769626.6`},{-337498.6`,513182.`,774020.8`},{-503904.`,852243.2`,22851.`},{-884177.2`,491209.`,13671.`},{-1.028903`*^6,4979.8`,7324.`},{-917673.2`,-493357.6`,4296.4`},{-562888.4`,-874118.4`,5371.`},{-69432.8`,-1.0236296`*^6,9277.`},{413377.6`,-911911.4`,16698.6`},{787302.2`,-571872.8`,24804.4`},{943681.8333333334`,-52815.333333333336`,31167.666666666668`},{830889.3333333334`,433998.8333333333`,34504.333333333336`},{483494.6`,812399.4`,33788.6`}};
axhat={-1.028903`*^6,4979.8`,7324.`};
ayhat={-69432.8`,-1.0236296`*^6,9277.`};
azhat={-53124.4`,-58593.`,993258.6`};
initial={9.83413891705775`*^-6,0,0,-2.7372070119105277`*^-8,9.910940576168197`*^-6,0,3.564501971908757`*^-7,3.196718804591536`*^-7,9.921457959338485`*^-6,0.6263910931195998`,0.7463968839513291`,0.5751184073988737`};