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Which of the following function is used by logistic regression to get a prediction in the range between (0,1).

Question

Which of the following function is used by logistic regression to get a prediction in the range between (0,1).

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Solution

The function used by logistic regression to get a prediction in the range between (0,1) is the Sigmoid function.

Here are the steps of how it works:

  1. Logistic regression takes an input and applies a linear transformation function to it. This function is defined by the parameters of the model, which are learned during training.

  2. The output of the linear transformation is then passed through the sigmoid function. The sigmoid function is defined as 1 / (1 + e^-x), where e is the base of the natural logarithm and x is the input to the function.

  3. The sigmoid function transforms its input into a value between 0 and 1. This value can be interpreted as the probability of a certain class or event.

  4. The model then makes a prediction based on this probability. For example, if the output of the sigmoid function is greater than 0.5, the model might predict class 1, otherwise it predicts class 0.

So, the sigmoid function is the key component of logistic regression that allows it to output a probability that can be used to make a binary prediction.

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