Why does the same angle data give considerably different regression coefficients depending on whether I use radians or degrees as angle units?

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Tim Bennett
Tim Bennett on 3 Apr 2013
I've noticed that when calculating regression coefficients in Matlab the output is noticeable different depending on whether i'm using radians or degrees as units.
My predictor variables are joint flexion-extension angles at the hip, knee, and ankle and my output variables are the x and y positions of the foot, where each variable was recorded for 20 trials at one point in time (i.e. a [1 x 20] vector for each).
Based on the data and future analyses i've used, i'm confident the angle data in degrees is giving me the correct output for this example but i'm not sure why?
Furthermore, when I use a much larger data set, where each variable is [101 x 20] (using a for loop to apply a code to each row) it appears the radian units are giving the correct output?
Any clarification here would be appreciated.
Thanks

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