APPLICATION OF SUPERVISED LEARNING
LINEAR REGRESSION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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25%
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35%
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45%
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55%
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Detailed explanation-1: -The intercept of-1.471 is the log odds for males since male is the reference group (female = 0). Using the odds we calculated above for males, we can confirm this: log(. 23) =-1.47. The coefficient for female is the log of odds ratio between the female group and male group: log(1.809) = .
Detailed explanation-2: -The interpretation of the odds ratio depends on whether the predictor is categorical or continuous. Odds ratios that are greater than 1 indicate that the event is more likely to occur as the predictor increases. Odds ratios that are less than 1 indicate that the event is less likely to occur as the predictor increases.
Detailed explanation-3: -For a sample of size n, the likelihood for a binary logistic regression is given by: L(; y, X)=n∏i=1yii(1−i)1−yi=n∏i=1(exp(Xi)1+exp(Xi))yi(11+exp(Xi))1−yi. L ( ; y, X ) = ∏ i = 1 n i y i ( 1 − i ) 1 − y i = ∏ i = 1 n ( exp ( X i ) 1 + exp ( X i ) ) y i ( 1 1 + exp