Bronchopulmonary dysplasia (BPD) is a form of chronic lung disease that affects newborns. Toxemia is a...
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Bronchopulmonary dysplasia (BPD) is a form of chronic lung disease that affects newborns. Toxemia is a complication of pregnancy characterized by high blood pressure and signs of damage to other organ systems. Researchers wish to investigate if the risk of BPD in infants increases if the mom experiences Toxemia during pregnancy. a) Given the R-output below state the logistic regression equation in terms of both the log(odds) scale and plain odds. [1 mark] Call: glm (formula = BPD - Toxemia, family = binomial) Coefficients: Estimate Std. Error z value Pr(>|z|) 0.1495 0.4822 0.000131 0.109385 -3.825 Intercept) Тохеmia -0.5718 -0.7719 -1.601 --- Signif. codes: O **** 0.001 *** 0.01 * 0.05. 0.1 1 (Dispersion parameter for binomial family taken to be 1) Null deviance: 286.14 on 222 degrees of freedom Residual deviance: 283.28 on 221 degrees of freedom AIC: 287.28 Number of Fisher Scoring iterations: 4 b) Interpret the slope coefficient for 'Toxemia' using both the log odds and odds scale. [0.5 marks] c) Perform a hypothesis test on the risk Toxemia poses to BPD development including your hypotheses, test statistic, decision and reasoning for rejection/non-rejection at the 5% level of significance, and conclusion in the context of the problem. [1 mark) Bronchopulmonary dysplasia (BPD) is a form of chronic lung disease that affects newborns. Toxemia is a complication of pregnancy characterized by high blood pressure and signs of damage to other organ systems. Researchers wish to investigate if the risk of BPD in infants increases if the mom experiences Toxemia during pregnancy. a) Given the R-output below state the logistic regression equation in terms of both the log(odds) scale and plain odds. [1 mark] Call: glm (formula = BPD - Toxemia, family = binomial) Coefficients: Estimate Std. Error z value Pr(>|z|) 0.1495 0.4822 0.000131 0.109385 -3.825 Intercept) Тохеmia -0.5718 -0.7719 -1.601 --- Signif. codes: O **** 0.001 *** 0.01 * 0.05. 0.1 1 (Dispersion parameter for binomial family taken to be 1) Null deviance: 286.14 on 222 degrees of freedom Residual deviance: 283.28 on 221 degrees of freedom AIC: 287.28 Number of Fisher Scoring iterations: 4 b) Interpret the slope coefficient for 'Toxemia' using both the log odds and odds scale. [0.5 marks] c) Perform a hypothesis test on the risk Toxemia poses to BPD development including your hypotheses, test statistic, decision and reasoning for rejection/non-rejection at the 5% level of significance, and conclusion in the context of the problem. [1 mark)
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