Work out logistic regression instantly with clear inputs, formula shown and shareable results.
Logistic regression models the log odds as a linear function, so the probability is the logistic transform 1/(1 + e^(−logit)). Each unit increase in x multiplies the odds by e^(b₁), which is why coefficients are reported as odds ratios.
Logistic model
logit = b₀ + b₁x, p = 1 / (1 + e^(−logit))
Odds ratio
OR = e^(b₁) per unit increase in x
The logit is 0.5, so the probability is 0.6224593 and the odds are about 1.6487.
A straight line can predict probabilities below 0 or above 1; the logistic curve is bounded to the valid range.