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We will examine whether termperature helps determine the probability of rain Use the logistic model: P(Y, = 1) = exp(X,' B) / (1 + exp(X,'

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We will examine whether termperature helps determine the probability of rain Use the logistic model: P(Y, = 1) = exp(X,' B) / (1 + exp(X,' B)) Here are the data: values of X, value of Y, observation # constant temperature did it rain 50 53 62 28 33 1 DO Y O U A W N P OOOH OOOH PP 50 53 62 28 10 33 Find the likelihood of the sample using these values for the coefficients Bo Likelihood -8 0.1823 -9 0.1823 -10 0.1823 -11 0.1823 -12 0.1823 Out of those 5 possibilities for the coefficients, choose the maximum likelihood possibility and complete the table: Termperature P(rain) 40 50 60 70 80

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