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A logistic regression model was fitted to a dataset consisting of a binary outcome variable, Y, taking values 0 and 1, and a single numerical
A logistic regression model was fitted to a dataset consisting of a binary outcome variable, Y, taking values 0 and 1, and a single numerical covariate x. The estimated intercept and slope on the linear predictor scale were found to be 0.37 and-2.7, respectively, so that the linear predictor as a function of x is given by n(x)=0.37 -2.7x. and the estimated probability Prob[Y=1|x] is given by Prob[Y=1|x] = exp(n(x))/[1+exp(n(x))]. What is the value of x such that the odds of the event Y=1 is 0.75? Recall that the odds of an event that occurs with probability x is given by n/(1-1). Notes: (i) Precisely one answer below is correct and the others are incorrect. (ii) An incorrect answer scores zero while the correct answer scores full marks for the question. Select one: O a. x =-0.071 O b. x = 0.144 O c. x = 0.161 O d. x = 0.244
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