What is the formula for logistic regression?

Question

Accepted Answer

The formula of logistic regression is a mathematical equation used to model the relationship between a binary dependent variable and one or more independent variables.

The formula is: log(odds) = β0 + β1x1 + β2x2 + ... + βnxn
The dependent variable is transformed using the logit function to obtain the log-odds ratio.
The independent variables are multiplied by their respective coefficients (β) and summed up with the intercept (β0).
The resulting value is then transformed back to obtain the predicted probability using the logistic function.
The logistic function is defined as: p = 1 / (1 + e^(-log(odds)))

Accepted Answer

"e" is the base of the natural logarithm, approximately equal to 2.7.
"z" is the linear combination of the independent variables, each multiplied by their respective regression coefficients.

Accepted Answer

In logistic regression, the formula calculates the probability of an event occurring based on the values of independent variables. The logistic regression equation is typically represented as follows:

p = 1 / (1 + e^(-z))

In this equation:

"p" represents the probability of the event occurring.

Accepted Answer

The formula for logistic regression is called sigmoid function,

h(x) = 1/(1+e^(-x))

h(x) is the probability of having getting classification as 1 or "Yes"

x is the vectorized version of the independent variable.

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What is the formula for logistic regression?

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