For data from Florida on Y = whether someone convicted of multiple murders receives the death penalty

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For data from Florida on Y = whether someone convicted of multiple murders receives the death penalty (1 = yes, 0 = no), the prediction equation is logit(πˆ ) = −2.06 + .87d − 2.40v, where d and v are defendant’s race and victims’ race (1 = black, 0 = white). The following are true–false questions based on the prediction equation.

a. The estimated probability of the death penalty is lowest when the defendant is white and victims are black.

b. Controlling for victims’ race, the estimated odds of the death penalty for white defendants equal 0.87 times the estimated odds for black defendants.

If we instead let d = 1 for white defendants and 0 for black defendants, the estimated coefficient of d would be 1/0.87 = 1.15 instead of 0.87.

c. The lack of an interaction term means that the estimated odds ratio between the death penalty outcome and defendant’s race is the same for each category of victims’ race.

d. The intercept term −2.06 is the estimated probability of the death penalty when the defendant and victims were white (i.e., d = v = 0).

e. If there were 500 cases with white victims and defendants, then the model fitted count (i.e., estimated expected frequency) for the number who receive the death penalty equals 500e−2.06/(1 + e−2.06).

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