Consider a following model for logistic regression: P (y =1|x, w)= g(w0 + w1x) where g(z) is the logistic function. In the above equation the P (y =1|x; w) , viewed as a function of x, that we can get by changing the parameters w. What would be the range of p in such case?

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Consider a following model for logistic regression: P (y =1|x, w)= g(w0 + w1x) where g(z) is the logistic function. In the above equation the P (y =1|x; w) , viewed as a function of x, that we can get by changing the parameters w. What would be the range of p in such case?