A sample of subjects were asked their opinion about current laws legaliz- ing abortion (support, oppose). For the explanatory variables gender (female, male), religious affiliation (Protestant, Catholic, Jewish), and political party affiliation (Democrat, Republican, Independent), the model for the probability of supporting legalized abortion, logit (7) = = a + BG + BR + B² has reported parameter estimates (setting the parameter for the last category of a variable equal to 0.0) â = -0.11, G = 0.16, B = 0.0, R = -0.57, ³ = −0.66, ³ = 0.0, ³ = 0.84, ß² = -1.67, ß² = 0.0. a. Interpret how the odds of supporting legalized abortion depend on gender. b. Find the estimated probability of supporting legalized abortion for (i) male Catholic Republicans and (ii) female Jewish Democrats. c. If we defined parameters such that the first category of a variable has value 0, then what would ß equal? Show then how to obtain the odds ratio that describes the conditional effect of gender.
A sample of subjects were asked their opinion about current laws legaliz- ing abortion (support, oppose). For the explanatory variables gender (female, male), religious affiliation (Protestant, Catholic, Jewish), and political party affiliation (Democrat, Republican, Independent), the model for the probability of supporting legalized abortion, logit (7) = = a + BG + BR + B² has reported parameter estimates (setting the parameter for the last category of a variable equal to 0.0) â = -0.11, G = 0.16, B = 0.0, R = -0.57, ³ = −0.66, ³ = 0.0, ³ = 0.84, ß² = -1.67, ß² = 0.0. a. Interpret how the odds of supporting legalized abortion depend on gender. b. Find the estimated probability of supporting legalized abortion for (i) male Catholic Republicans and (ii) female Jewish Democrats. c. If we defined parameters such that the first category of a variable has value 0, then what would ß equal? Show then how to obtain the odds ratio that describes the conditional effect of gender.
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 5SE: What does the y -intercept on the graph of a logistic equation correspond to for a population...
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Transcribed Image Text:A sample of subjects were asked their opinion about current laws legaliz-
ing abortion (support, oppose). For the explanatory variables gender (female,
male), religious affiliation (Protestant, Catholic, Jewish), and political party
affiliation (Democrat, Republican, Independent), the model for the probability
of supporting legalized abortion,
logit (7) = α + B + B² + B²
has reported parameter estimates (setting the parameter for the last category
of a variable equal to 0.0) â = -0.11, p = 0.16, B = 0.0, R = −0.57,
BR = -0.66, BR = 0.0, ß³ = 0.84, ß² = -1.67, ß² = 0.0.
a. Interpret how the odds of supporting legalized abortion depend on gender.
b. Find the estimated probability of supporting legalized abortion for (i) male
Catholic Republicans and (ii) female Jewish Democrats.
c. If we defined parameters such that the first category of a variable has value
0, then what would equal? Show then how to obtain the odds ratio that
describes the conditional effect of gender.
d. If we defined parameters such that they sum to 0 across the categories of a
variable, then what would B and equal? Show then how to obtain the
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