What type of curve is this?
- Thread starter yccmp
- Start date
- Tags curves logistic regression model
The right one looks like a reflection of the left one along the diagonal line \( y = x \)
If this is true, then they are the inverse function of each other.
So for the right one, we have
\( x = \frac {1} {1 + e^{-\beta y}} \)
\( \Rightarrow 1 + e^{-\beta y} = \frac {1} {x} \)
\( \Rightarrow y = -\frac {1} {\beta} \ln\left(\frac {1} {x} - 1\right) \)
But you may have some further shifts on the curve depends on the location.
If this is true, then they are the inverse function of each other.
So for the right one, we have
\( x = \frac {1} {1 + e^{-\beta y}} \)
\( \Rightarrow 1 + e^{-\beta y} = \frac {1} {x} \)
\( \Rightarrow y = -\frac {1} {\beta} \ln\left(\frac {1} {x} - 1\right) \)
But you may have some further shifts on the curve depends on the location.