I have performed a binary logistic regression with re-contracted as the DV (not re-contracted =0, re-contracted =1).
Team ladder position at the end of the year is a significant predictor. This varible is a rank (1-18) with 1 being "top" of the ladder and "18" being the bottom. The regression coefficient for this variable is -0.044 and the exponentiated coefficient is 0.957.
I am confused by the interpretation given that that a one unit increase in the predictor variable would actually be a worse result e.g. a higher number is toward the bottom of the ladder. Does this then mean that "a one unit increase in ladder position (towards the bottom) reduces the probability of being re-contracted by -0.044? and thus, the odds of being re-contracted are reduced by 0.957 for each one unit increase in ladder position (towards the bottom of the ladder)?
I'm going round in circles! have I interpreted correctly?