In this question, please use Minitab (or other software package you are familiar with) to carry out logistic regressions using the Low Birth Weight data. The data set is lowbwt.mtw
Values of infant germinal matrix hemorrhage are saved under the variable grmhem, and values of mother's toxemia status under the name tox. Using grmhem as the response, and tox as the predictor variable, fit a logistic regression model.
grmhem = 1 if infant had hemorrhage, grmhem = 0 if no hemorrhage
tox= 1 if mother had toxemia tox= 0 if no toxemia
Based on the Minitab output, complete the following:
a) Interpret the estimated coefficient for the toxemia variable (tox)
b) What are the odds of a hemorrhage for infants whose mother had toxemia?
c) What is the probability of hemorrhage for infants whose mothers had toxemia?
d) What is the odds ratio of hemorrhage for children whose mothers had toxemia relative to those mothers were not diagnosed with toxemia?
e) Using the estimates and standard errors from the output, conduct 95% confidence interval for the population odds ration in (D). Use a z critical value of 1.96.