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Which of the following statements is NOT correct about interpreting the coefficients of logistic regression?

a. If a variable has a significant positive coefficient, we can say that the log odds ratio increases by the amount of the coefficient, on average, when the variable increases by 1 unit
b. Increasing the log odds ratio means increasing the odds ratio, which means we are increasing the probability of success
c. Decreasing the log odds ratio means decreasing the odds ratio, which means we are decreasing the probability of success
d. If a variable has a significant positive coefficient, we can say that the probability of success increases by the amount of the coefficient as the variable increases by 1 unit

User Atclaus
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Final answer:

The incorrect statement refers to a misinterpretation that a significant positive coefficient in logistic regression causes a direct increase in the probability of success by the coefficient amount with a one unit increase in the variable.

Step-by-step explanation:

The statement that is NOT correct about interpreting the coefficients of logistic regression is: "If a variable has a significant positive coefficient, we can say that the probability of success increases by the amount of the coefficient as the variable increases by 1 unit." This statement is incorrect because a significant positive coefficient in logistic regression indicates that the log odds ratio increases, but this does not translate to a direct increase in probability by the amount of the coefficient. The change in probability is not linear and depends on the logistic function.

In logistic regression, if a variable has a significant positive coefficient, it is indeed correct that the log odds ratio increases by the coefficient amount when the variable increases by 1 unit. Similarly, an increasing log odds ratio means the odds ratio also increases, which in turn suggests an increased probability of the event occurring. Conversely, a decreasing log odds ratio indicates a decreasing odds ratio and a lowered probability of the event.

User Octopoid
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