I am having trouble finding information on how to interpret coxph model hazard ratios with a quadratic term. Some of my variables are continuous count data, whereas others are continuous percentages.
-for every 1 inch of snow the odds of choosing a snow tire increased 43.8%
-for every 1% increases in tread percent the odds of choosing a snow tire increased 0.08%
-for every 1 additional trip, the odds of choosing a snow tire increased 4.4%
Is this interpretation correct? How do you interpret the quadratic term "time_percent" and "time_percent2" since time_percent2 is the time_percent variable squared.
coef exp(coef) se(coef) z p snow_inches 0.363450 1.438 4.44e-02 8.19 2.2e-16 tread% 0.007498 1.008 2.49e-03 3.01 2.6e-03 count_trips 0.042730 1.044 1.80e-02 2.38 1.7e-02 time_percent -0.039268 0.961 6.66e-03 -5.90 3.7e-09 time_percent2 0.000253 1.000 6.94e-05 3.64 2.7e-04