FLC OF A B767 FAILED TO FOLLOW DEP SID DUE TO MISPROGRAMMING THE FMS. ARTCC RADAR CTLR QUESTIONED CREW FOR CLRNC GIVEN AND PROVIDED VECTORS TO ON COURSE.

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FMS LOADING FINISHED; THE PDC WAS OBTAINED AND NUMEROUS DISTRS INCLUDING FLT ATTENDANT REQUESTS AND VISITING KIDS; AS WELL AS THE USUAL GND (RAMP) CALLS; HAD THINGS PRETTY BUSY. THE PDC SHOWED A CHANGE TO THE MLF2 DEP; WHICH I REMEMBER PULLING UP IN THE FMS AND I ALSO PUT THE OUTBOUND RADIAL IN RAW DATA. HOWEVER; FOR WHATEVER REASON; THE DEP DID NOT END UP ON THE ACTIVE RTE. EITHER I DID NOT EXECUTE THE CHANGE OR THE EXECUTE DID NOT WORK. WHATEVER THE CASE; WITH ALL THAT WAS HAPPENING; NEITHER OF US NOTICED IT WAS NOT IN THE BOX. WE DEPARTED ON RWY 34L SLC AND EVENTUALLY WE WERE GIVEN A 170 DEG HDG TO INTERCEPT THE MLF2. DISTRS DURING CLB INCLUDED UNEXPECTED TURB AND HAVING TO MAKE AT LEAST 3 ATTEMPTS FROM SCRATCH TO TRY AND TRIM A VERY OUT OF RIG ACFT. IN THE MEANTIME; WE CONTINUED TOWARDS THE FMS COURSE UNTIL DEP CTL ASKED US WHAT OUR CLRNC WAS; AND THEN SAID WE HAD FLOWN THROUGH THE RADIAL. SWITCHING TO RAW DATA CONFIRMED THAT THEY WERE CORRECT; AND WE IMMEDIATELY CORRECTED BACK. TO OUR KNOWLEDGE NO LOSS OF SEPARATION OCCURRED. CONCLUSIONS: ALTHOUGH THE FMS FLT PLAN LOADING WAS DOUBLECHKED; THE CHANGES OBVIOUSLY WERE NOT. POSSIBLE REASONS: DISTRS IN THE COCKPIT; COMPLACENCY. SOLUTIONS: 1) OBTAIN PDC SOONER ALLOWING MORE TIME FOR CHKING AS DISTRS WILL ALWAYS BE THERE. 2) CHK RAW DATA MORE OFTEN -- ESPECIALLY ON INTERCEPTS -- ONE VOR IN RAW DATA WOULD HAVE PREVENTED THIS EVEN WITH THE FMS PROGRAMMED WRONG.