Probability functions in Logistic Regression

#1

I didn’t understand from where the probability functions defined in second video of logistic regression came from.
Why is the probability of y belonging to class 1 is equal to hypothesis function?

#2

Hey @rjseniwal, in the following video you will see, (theta^t * x >=0) for class 1 and for class 0 (theta^T *x <0),
And than we applied sigmoid activation, which is like this,

Now, for 1 class, 0.5<=sigmoid(z) <1 because all values of z>=0.

Similary fro 0 class, 0<sigmoid(z)<=0.5 because all values of z<0.

Since these values are between 0 and 1, we can refer these values to as confidence value of belonging to 1 class. And similarly if we want to confidence for 0 class, than it would be (1- this value).

Hope this resolved your doubt.
Plz mark the doubt as resolved in my doubts section. :blush:

#3

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