In logistic regression,decision boundaryis a line that separates class A from class B

let's take a look at an example:

*from the example plot above, the blue line is the decision boundary, separating y=1, from y= 0*

To recap from yesterday, the logistic regression's function is g(z), and it's going to output a value between 0 to 1, it may output values such as 0.7 or 0.3

What if we want the learning algorithm to predict value of 0 or 1? We will set a threshold in this case, and let's say we want to set the threshold to 0.5:

to get a prediction (y=0 or y=1) from a logistic regression model, we can use the following heuristic: if

**f(x)**>=**0.5**, predict**y=1,**if**f(x)**<**0.5**, predict**y=0**

If we were to plot this, it will look like this:

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