- A compound called estriol was measured over a 24 hour period in the blood of pregnant women. The babies’ weights were then recorded at birth. The purpose of the study was to determine whether there was a relationship between estriol and birth weight.1 The data from this study can be found at http://www.biostat.umn.edu/~lynn/iid/estriol.dat. Estriol was measured in milligrams per 24 hours and birthweight was measured in grams/100.
Using the non-informative prior distribution 𝑔(𝜂, 𝛽, 𝜌) μ 𝜌)*, find the joint posterior distribution for the transformed intercept h, the slope b, and the precision r.
- Comment on your results, including whether the assumptions for normal linear regression are met.
- What is the predictive distribution for birthweight given milligrams of estriol? Find a 90% predictive interval for the birthweight of a baby given that 19 mg of estriol were measured in the mother’s urine over 24 hours.
- Use 1000 Monte Carlo samples to find an approximate 90% predictive interval for the birthweight of a baby given that 19 mg of estriol were measured in the mother’s urine over 24 hours. Compare Problem 3. Discuss.
[SOLVED] SYST-STAT664 Assignment 10
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