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Logistic Regression


Logistic regression is a regression model for a binary response in which the logit function of the conditional probability p(x) of success is a linear function of the explanatory variables,

 ln(p(x))/(1-p(x))=beta_0+beta_1x_1+...+beta_kx_k,

or equivalently p(x) is the sigmoid function evaluated at the linear predictor. The coefficients are usually estimated by maximum likelihood.


See also

Maximum Likelihood, Regression, Sigmoid Function

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References

Agresti, A. Categorical Data Analysis. New York: Wiley, pp. 115-117, 1990.

Cite this as:

Weisstein, Eric W. "Logistic Regression." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/LogisticRegression.html

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