57. A study of 64 prematurely born infants was interested in the relation between the gestational age

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57. A study of 64 prematurely born infants was interested in the relation between the gestational age (in weeks) of the infant at birth and whether the infant was breast-feeding at the time of release from the birthing hospital. The following data resulted:

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In the preceding, the frequency column refers to the number of babies born after the specified gestational number of weeks.

(a) Explain how the relationship between gestational age and whether the infant was breast-feeding can be analyzed via a logistics regression model.

(b) Use appropriate software to estimate the parameters for this model.

(c) Estimate the probability that a newborn with a gestational age of 29 weeks will be breast-feeding.

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