Tom Brady had the fewest interceptions per hundred attempts by a quarterback in 2015, with 1.1 per hundred.

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lowest interception percentage by qb in the 2015 nfl season
Interpreted as:
lowest interception percentage with a minimum of 14 passing attempts per team game by qb in the 2015 NFL season
2015Brady2015McCown2015Rodgers2015Smith2015Taylor2015Wilson2015Brees2015Dalton2015Hoyer2015Hasselbeck2015Rivers2015Bridgewater2015Newton2015Cousins2015Tannehill2015Palmer2015Kaepernick2015Osweiler2015Stafford2015Manning2015Carr2015Cutler2015Mallett1.11.41.41.51.61.71.81.81.92.02.02.02.02.02.02.02.02.22.22.32.32.32.5
NAMESEASONTMGPINT%CMPATTPCTYDSAVGYDS/GTDTD%INTSCKSCKYRATE
Tom BradyTom Brady2015NENE161.140262464.44,7707.6298.1365.8738225102.2
Josh McCownJosh McCown2015CLECLE81.418629263.72,1097.2263.6124.142313793.3
Aaron RodgersAaron Rodgers2015GBGB161.434757260.73,8216.7238.8315.484631492.7
Alex SmithAlex Smith2015KCKC161.530747065.33,4867.4217.9204.374523595.4
Tyrod TaylorTyrod Taylor2015BUFBUF141.624238063.73,0358.0216.8205.363621299.4
Russell WilsonRussell Wilson2015SEASEA161.732948368.14,0248.3251.5347.0845265110.1
Drew BreesDrew Brees2015NONO151.842862768.34,8707.8324.7325.11131235101.0
Andy DaltonAndy Dalton2015CINCIN131.825538666.13,2508.4250.0256.5720118106.3
Brian HoyerBrian Hoyer2015HOUHOU111.922436960.72,6067.1236.9195.172518591.4
Matt HasselbeckMatt Hasselbeck2015INDIND82.015625660.91,6906.6211.393.551610184.0
Philip RiversPhilip Rivers2015SDSD162.043766166.14,7927.2299.5294.4134026493.8
Teddy BridgewaterTeddy Bridgewater2015MINMIN162.029244765.33,2317.2201.9143.194430788.7
Cam NewtonCam Newton2015CARCAR162.029649559.83,8377.8239.8357.1103328499.4
Kirk CousinsKirk Cousins2015WASWAS162.037954369.84,1667.7260.4295.31126186101.6
Ryan TannehillRyan Tannehill2015MIAMIA162.036358661.94,2087.2263.0244.1124542088.7
Carson PalmerCarson Palmer2015ARIARI162.034253763.74,6718.7291.9356.51125151104.6
Colin KaepernickColin Kaepernick2015SFSF92.014424459.01,6156.6179.462.552816678.5
Brock OsweilerBrock Osweiler2015DENDEN82.217027561.81,9677.2245.9103.662315186.4
Matthew StaffordMatthew Stafford2015DETDET162.239859267.24,2627.2266.4325.4134425197.0
Eli ManningEli Manning2015NYGNYG162.338761862.64,4327.2277.0355.7142715793.6
Derek CarrDerek Carr2015OAKOAK162.335057361.13,9877.0249.2325.6133123091.1
Jay CutlerJay Cutler2015CHICHI152.331148364.43,6597.6243.9214.3112915092.3
Ryan MallettRyan Mallett2015TOT82.513624455.71,3365.5167.052.0663267.9
Blaine GabbertBlaine Gabbert2015SFSF82.517828263.12,0317.2253.9103.572516486.2
Matt RyanMatt Ryan2015ATLATL162.640761466.34,5917.5286.9213.4163020689.0
StatMuse has season-level data for interceptions per hundred attempts and pass attempts per team game going back to the 1932 season.