We're working with some logistic regressions and we have realized that the average estimated probability always equals the proportion of ones in the sample; that is, the average of fitted values equals the average of the sample. Can anybody explain me the reason or give me a reference where I can find this demonstration?

Best regards from Valencia

We're working with some logistic regressions and we have realized that the average estimated probability always equals the proportion of ones in the sample; that is, the average of fitted values equals the average of the sample.

Can anybody explain me the reason or give me a reference where I can find this demonstration?

We're working with some logistic regressions and we have realized that the average estimated probability always equals the number of ones in the sample; that is, the average of fitted values equals the average of the sample. Can anybody explain me the reason or give me a reference where I can find this demostracion?

Best regards from Valencia

We're working with some logistic regressions and we have realized that the average estimated probability always equals the proportion of ones in the sample; that is, the average of fitted values equals the average of the sample. Can anybody explain me the reason or give me a reference where I can find this demonstration?

Best regards from Valencia